diff --git a/CHANGELOG.md b/CHANGELOG.md
index 2bc8bf64bea..ab38502ea01 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -47,6 +47,7 @@ Ref: https://keepachangelog.com/en/1.0.0/
 
 ### Improvements
 
+* [#12634](https://github.com/cosmos/cosmos-sdk/pull/12634) Move `sdk.Dec` to math package.
 * [#12596](https://github.com/cosmos/cosmos-sdk/pull/12596) Remove all imports of the non-existent gogo/protobuf v1.3.3 to ease downstream use and go workspaces. 
 * [#12589](https://github.com/cosmos/cosmos-sdk/pull/12589) Allow zero gas in simulation mode.
 * [#12576](https://github.com/cosmos/cosmos-sdk/pull/12576) Remove dependency on cosmos/keyring and upgrade to 99designs/keyring v1.2.1
diff --git a/go.mod b/go.mod
index f471e7855a1..161ea5ae324 100644
--- a/go.mod
+++ b/go.mod
@@ -283,6 +283,7 @@ replace (
 	cosmossdk.io/api => ./api
 	cosmossdk.io/core => ./core
 	cosmossdk.io/depinject => ./depinject
+	cosmossdk.io/math => ./math
 	github.com/cosmos/cosmos-sdk/db => ./db
 	github.com/cosmos/cosmos-sdk/store/tools/ics23 => ./store/tools/ics23
 
diff --git a/go.sum b/go.sum
index 0e13fdea392..e5caf5bbe14 100644
--- a/go.sum
+++ b/go.sum
@@ -69,8 +69,6 @@ cloud.google.com/go/storage v1.14.0/go.mod h1:GrKmX003DSIwi9o29oFT7YDnHYwZoctc3f
 contrib.go.opencensus.io/exporter/stackdriver v0.13.4/go.mod h1:aXENhDJ1Y4lIg4EUaVTwzvYETVNZk10Pu26tevFKLUc=
 cosmossdk.io/errors v1.0.0-beta.7 h1:gypHW76pTQGVnHKo6QBkb4yFOJjC+sUGRc5Al3Odj1w=
 cosmossdk.io/errors v1.0.0-beta.7/go.mod h1:mz6FQMJRku4bY7aqS/Gwfcmr/ue91roMEKAmDUDpBfE=
-cosmossdk.io/math v1.0.0-beta.2 h1:17hSVc9ne1c31IaLDfjRojtN+y4Rd2N8H/6Fht2sBzw=
-cosmossdk.io/math v1.0.0-beta.2/go.mod h1:u/MXvf8wbUbCsAEyQSSYXXMsczAsFX48e2D6JI86T4o=
 dmitri.shuralyov.com/gpu/mtl v0.0.0-20190408044501-666a987793e9/go.mod h1:H6x//7gZCb22OMCxBHrMx7a5I7Hp++hsVxbQ4BYO7hU=
 filippo.io/edwards25519 v1.0.0-rc.1 h1:m0VOOB23frXZvAOK44usCgLWvtsxIoMCTBGJZlpmGfU=
 filippo.io/edwards25519 v1.0.0-rc.1/go.mod h1:N1IkdkCkiLB6tki+MYJoSx2JTY9NUlxZE7eHn5EwJns=
diff --git a/math/CHANGELOG.md b/math/CHANGELOG.md
index 16de809f271..4354b122f63 100644
--- a/math/CHANGELOG.md
+++ b/math/CHANGELOG.md
@@ -30,3 +30,5 @@ Ref: https://keepachangelog.com/en/1.0.0/
 # Changelog
 
 ## [Unreleased]
+
+* [#12634](https://github.com/cosmos/cosmos-sdk/pull/12634) Move `sdk.Dec` to math package, call it `LegacyDec`.
diff --git a/types/decimal.go b/math/dec.go
similarity index 63%
rename from types/decimal.go
rename to math/dec.go
index ca9dc3ca573..667bfec50bd 100644
--- a/types/decimal.go
+++ b/math/dec.go
@@ -1,4 +1,4 @@
-package types
+package math
 
 import (
 	"encoding/json"
@@ -10,26 +10,24 @@ import (
 	"testing"
 )
 
-var _ CustomProtobufType = (*Dec)(nil)
-
 // NOTE: never use new(Dec) or else we will panic unmarshalling into the
 // nil embedded big.Int
-type Dec struct {
+type LegacyDec struct {
 	i *big.Int
 }
 
 const (
 	// number of decimal places
-	Precision = 18
+	LegacyPrecision = 18
 
 	// bits required to represent the above precision
 	// Ceiling[Log2[10^Precision - 1]]
-	DecimalPrecisionBits = 60
+	LegacyDecimalPrecisionBits = 60
 
 	// decimalTruncateBits is the minimum number of bits removed
 	// by a truncate operation. It is equal to
 	// Floor[Log2[10^Precision - 1]].
-	decimalTruncateBits = DecimalPrecisionBits - 1
+	decimalTruncateBits = LegacyDecimalPrecisionBits - 1
 
 	maxDecBitLen = MaxBitLen + decimalTruncateBits
 
@@ -38,7 +36,7 @@ const (
 )
 
 var (
-	precisionReuse       = new(big.Int).Exp(big.NewInt(10), big.NewInt(Precision), nil)
+	precisionReuse       = new(big.Int).Exp(big.NewInt(10), big.NewInt(LegacyPrecision), nil)
 	fivePrecision        = new(big.Int).Quo(precisionReuse, big.NewInt(2))
 	precisionMultipliers []*big.Int
 	zeroInt              = big.NewInt(0)
@@ -48,15 +46,15 @@ var (
 
 // Decimal errors
 var (
-	ErrEmptyDecimalStr      = errors.New("decimal string cannot be empty")
-	ErrInvalidDecimalLength = errors.New("invalid decimal length")
-	ErrInvalidDecimalStr    = errors.New("invalid decimal string")
+	ErrLegacyEmptyDecimalStr      = errors.New("decimal string cannot be empty")
+	ErrLegacyInvalidDecimalLength = errors.New("invalid decimal length")
+	ErrLegacyInvalidDecimalStr    = errors.New("invalid decimal string")
 )
 
 // Set precision multipliers
 func init() {
-	precisionMultipliers = make([]*big.Int, Precision+1)
-	for i := 0; i <= Precision; i++ {
+	precisionMultipliers = make([]*big.Int, LegacyPrecision+1)
+	for i := 0; i <= LegacyPrecision; i++ {
 		precisionMultipliers[i] = calcPrecisionMultiplier(int64(i))
 	}
 }
@@ -65,65 +63,65 @@ func precisionInt() *big.Int {
 	return new(big.Int).Set(precisionReuse)
 }
 
-func ZeroDec() Dec     { return Dec{new(big.Int).Set(zeroInt)} }
-func OneDec() Dec      { return Dec{precisionInt()} }
-func SmallestDec() Dec { return Dec{new(big.Int).Set(oneInt)} }
+func LegacyZeroDec() LegacyDec     { return LegacyDec{new(big.Int).Set(zeroInt)} }
+func LegacyOneDec() LegacyDec      { return LegacyDec{precisionInt()} }
+func LegacySmallestDec() LegacyDec { return LegacyDec{new(big.Int).Set(oneInt)} }
 
 // calculate the precision multiplier
 func calcPrecisionMultiplier(prec int64) *big.Int {
-	if prec > Precision {
-		panic(fmt.Sprintf("too much precision, maximum %v, provided %v", Precision, prec))
+	if prec > LegacyPrecision {
+		panic(fmt.Sprintf("too much precision, maximum %v, provided %v", LegacyPrecision, prec))
 	}
-	zerosToAdd := Precision - prec
+	zerosToAdd := LegacyPrecision - prec
 	multiplier := new(big.Int).Exp(tenInt, big.NewInt(zerosToAdd), nil)
 	return multiplier
 }
 
 // get the precision multiplier, do not mutate result
 func precisionMultiplier(prec int64) *big.Int {
-	if prec > Precision {
-		panic(fmt.Sprintf("too much precision, maximum %v, provided %v", Precision, prec))
+	if prec > LegacyPrecision {
+		panic(fmt.Sprintf("too much precision, maximum %v, provided %v", LegacyPrecision, prec))
 	}
 	return precisionMultipliers[prec]
 }
 
 // create a new Dec from integer assuming whole number
-func NewDec(i int64) Dec {
-	return NewDecWithPrec(i, 0)
+func LegacyNewDec(i int64) LegacyDec {
+	return LegacyNewDecWithPrec(i, 0)
 }
 
 // create a new Dec from integer with decimal place at prec
 // CONTRACT: prec <= Precision
-func NewDecWithPrec(i, prec int64) Dec {
-	return Dec{
+func LegacyNewDecWithPrec(i, prec int64) LegacyDec {
+	return LegacyDec{
 		new(big.Int).Mul(big.NewInt(i), precisionMultiplier(prec)),
 	}
 }
 
 // create a new Dec from big integer assuming whole numbers
 // CONTRACT: prec <= Precision
-func NewDecFromBigInt(i *big.Int) Dec {
-	return NewDecFromBigIntWithPrec(i, 0)
+func LegacyNewDecFromBigInt(i *big.Int) LegacyDec {
+	return LegacyNewDecFromBigIntWithPrec(i, 0)
 }
 
 // create a new Dec from big integer assuming whole numbers
 // CONTRACT: prec <= Precision
-func NewDecFromBigIntWithPrec(i *big.Int, prec int64) Dec {
-	return Dec{
+func LegacyNewDecFromBigIntWithPrec(i *big.Int, prec int64) LegacyDec {
+	return LegacyDec{
 		new(big.Int).Mul(i, precisionMultiplier(prec)),
 	}
 }
 
 // create a new Dec from big integer assuming whole numbers
 // CONTRACT: prec <= Precision
-func NewDecFromInt(i Int) Dec {
-	return NewDecFromIntWithPrec(i, 0)
+func LegacyNewDecFromInt(i Int) LegacyDec {
+	return LegacyNewDecFromIntWithPrec(i, 0)
 }
 
 // create a new Dec from big integer with decimal place at prec
 // CONTRACT: prec <= Precision
-func NewDecFromIntWithPrec(i Int, prec int64) Dec {
-	return Dec{
+func LegacyNewDecFromIntWithPrec(i Int, prec int64) LegacyDec {
+	return LegacyDec{
 		new(big.Int).Mul(i.BigInt(), precisionMultiplier(prec)),
 	}
 }
@@ -141,9 +139,9 @@ func NewDecFromIntWithPrec(i Int, prec int64) Dec {
 // are provided in the string than the constant Precision.
 //
 // CONTRACT - This function does not mutate the input str.
-func NewDecFromStr(str string) (Dec, error) {
+func LegacyNewDecFromStr(str string) (LegacyDec, error) {
 	if len(str) == 0 {
-		return Dec{}, fmt.Errorf("%s: %w", str, ErrEmptyDecimalStr)
+		return LegacyDec{}, fmt.Errorf("%s: %w", str, ErrLegacyEmptyDecimalStr)
 	}
 
 	// first extract any negative symbol
@@ -154,7 +152,7 @@ func NewDecFromStr(str string) (Dec, error) {
 	}
 
 	if len(str) == 0 {
-		return Dec{}, fmt.Errorf("%s: %w", str, ErrEmptyDecimalStr)
+		return LegacyDec{}, fmt.Errorf("%s: %w", str, ErrLegacyEmptyDecimalStr)
 	}
 
 	strs := strings.Split(str, ".")
@@ -164,62 +162,62 @@ func NewDecFromStr(str string) (Dec, error) {
 	if len(strs) == 2 { // has a decimal place
 		lenDecs = len(strs[1])
 		if lenDecs == 0 || len(combinedStr) == 0 {
-			return Dec{}, ErrInvalidDecimalLength
+			return LegacyDec{}, ErrLegacyInvalidDecimalLength
 		}
 		combinedStr += strs[1]
 	} else if len(strs) > 2 {
-		return Dec{}, ErrInvalidDecimalStr
+		return LegacyDec{}, ErrLegacyInvalidDecimalStr
 	}
 
-	if lenDecs > Precision {
-		return Dec{}, fmt.Errorf("value '%s' exceeds max precision by %d decimal places: max precision %d", str, Precision-lenDecs, Precision)
+	if lenDecs > LegacyPrecision {
+		return LegacyDec{}, fmt.Errorf("value '%s' exceeds max precision by %d decimal places: max precision %d", str, LegacyPrecision-lenDecs, LegacyPrecision)
 	}
 
 	// add some extra zero's to correct to the Precision factor
-	zerosToAdd := Precision - lenDecs
+	zerosToAdd := LegacyPrecision - lenDecs
 	zeros := fmt.Sprintf(`%0`+strconv.Itoa(zerosToAdd)+`s`, "")
 	combinedStr += zeros
 
 	combined, ok := new(big.Int).SetString(combinedStr, 10) // base 10
 	if !ok {
-		return Dec{}, fmt.Errorf("failed to set decimal string with base 10: %s", combinedStr)
+		return LegacyDec{}, fmt.Errorf("failed to set decimal string with base 10: %s", combinedStr)
 	}
 	if combined.BitLen() > maxDecBitLen {
-		return Dec{}, fmt.Errorf("decimal '%s' out of range; bitLen: got %d, max %d", str, combined.BitLen(), maxDecBitLen)
+		return LegacyDec{}, fmt.Errorf("decimal '%s' out of range; bitLen: got %d, max %d", str, combined.BitLen(), maxDecBitLen)
 	}
 	if neg {
 		combined = new(big.Int).Neg(combined)
 	}
 
-	return Dec{combined}, nil
+	return LegacyDec{combined}, nil
 }
 
 // Decimal from string, panic on error
-func MustNewDecFromStr(s string) Dec {
-	dec, err := NewDecFromStr(s)
+func LegacyMustNewDecFromStr(s string) LegacyDec {
+	dec, err := LegacyNewDecFromStr(s)
 	if err != nil {
 		panic(err)
 	}
 	return dec
 }
 
-func (d Dec) IsNil() bool       { return d.i == nil }                 // is decimal nil
-func (d Dec) IsZero() bool      { return (d.i).Sign() == 0 }          // is equal to zero
-func (d Dec) IsNegative() bool  { return (d.i).Sign() == -1 }         // is negative
-func (d Dec) IsPositive() bool  { return (d.i).Sign() == 1 }          // is positive
-func (d Dec) Equal(d2 Dec) bool { return (d.i).Cmp(d2.i) == 0 }       // equal decimals
-func (d Dec) GT(d2 Dec) bool    { return (d.i).Cmp(d2.i) > 0 }        // greater than
-func (d Dec) GTE(d2 Dec) bool   { return (d.i).Cmp(d2.i) >= 0 }       // greater than or equal
-func (d Dec) LT(d2 Dec) bool    { return (d.i).Cmp(d2.i) < 0 }        // less than
-func (d Dec) LTE(d2 Dec) bool   { return (d.i).Cmp(d2.i) <= 0 }       // less than or equal
-func (d Dec) Neg() Dec          { return Dec{new(big.Int).Neg(d.i)} } // reverse the decimal sign
-func (d Dec) NegMut() Dec       { d.i.Neg(d.i); return d }            // reverse the decimal sign, mutable
-func (d Dec) Abs() Dec          { return Dec{new(big.Int).Abs(d.i)} } // absolute value
-func (d Dec) Set(d2 Dec) Dec    { d.i.Set(d2.i); return d }           // set to existing dec value
-func (d Dec) Clone() Dec        { return Dec{new(big.Int).Set(d.i)} } // clone new dec
+func (d LegacyDec) IsNil() bool                { return d.i == nil }                       // is decimal nil
+func (d LegacyDec) IsZero() bool               { return (d.i).Sign() == 0 }                // is equal to zero
+func (d LegacyDec) IsNegative() bool           { return (d.i).Sign() == -1 }               // is negative
+func (d LegacyDec) IsPositive() bool           { return (d.i).Sign() == 1 }                // is positive
+func (d LegacyDec) Equal(d2 LegacyDec) bool    { return (d.i).Cmp(d2.i) == 0 }             // equal decimals
+func (d LegacyDec) GT(d2 LegacyDec) bool       { return (d.i).Cmp(d2.i) > 0 }              // greater than
+func (d LegacyDec) GTE(d2 LegacyDec) bool      { return (d.i).Cmp(d2.i) >= 0 }             // greater than or equal
+func (d LegacyDec) LT(d2 LegacyDec) bool       { return (d.i).Cmp(d2.i) < 0 }              // less than
+func (d LegacyDec) LTE(d2 LegacyDec) bool      { return (d.i).Cmp(d2.i) <= 0 }             // less than or equal
+func (d LegacyDec) Neg() LegacyDec             { return LegacyDec{new(big.Int).Neg(d.i)} } // reverse the decimal sign
+func (d LegacyDec) NegMut() LegacyDec          { d.i.Neg(d.i); return d }                  // reverse the decimal sign, mutable
+func (d LegacyDec) Abs() LegacyDec             { return LegacyDec{new(big.Int).Abs(d.i)} } // absolute value
+func (d LegacyDec) Set(d2 LegacyDec) LegacyDec { d.i.Set(d2.i); return d }                 // set to existing dec value
+func (d LegacyDec) Clone() LegacyDec           { return LegacyDec{new(big.Int).Set(d.i)} } // clone new dec
 
 // BigInt returns a copy of the underlying big.Int.
-func (d Dec) BigInt() *big.Int {
+func (d LegacyDec) BigInt() *big.Int {
 	if d.IsNil() {
 		return nil
 	}
@@ -228,34 +226,34 @@ func (d Dec) BigInt() *big.Int {
 	return cp.Set(d.i)
 }
 
-func (d Dec) ImmutOp(op func(Dec, Dec) Dec, d2 Dec) Dec {
+func (d LegacyDec) ImmutOp(op func(LegacyDec, LegacyDec) LegacyDec, d2 LegacyDec) LegacyDec {
 	return op(d.Clone(), d2)
 }
 
-func (d Dec) ImmutOpInt(op func(Dec, Int) Dec, d2 Int) Dec {
+func (d LegacyDec) ImmutOpInt(op func(LegacyDec, Int) LegacyDec, d2 Int) LegacyDec {
 	return op(d.Clone(), d2)
 }
 
-func (d Dec) ImmutOpInt64(op func(Dec, int64) Dec, d2 int64) Dec {
+func (d LegacyDec) ImmutOpInt64(op func(LegacyDec, int64) LegacyDec, d2 int64) LegacyDec {
 	// TODO: use already allocated operand bigint to avoid
 	// newint each time, add mutex for race condition
 	// Issue: https://github.com/cosmos/cosmos-sdk/issues/11166
 	return op(d.Clone(), d2)
 }
 
-func (d Dec) SetInt64(i int64) Dec {
+func (d LegacyDec) SetInt64(i int64) LegacyDec {
 	d.i.SetInt64(i)
 	d.i.Mul(d.i, precisionReuse)
 	return d
 }
 
 // addition
-func (d Dec) Add(d2 Dec) Dec {
-	return d.ImmutOp(Dec.AddMut, d2)
+func (d LegacyDec) Add(d2 LegacyDec) LegacyDec {
+	return d.ImmutOp(LegacyDec.AddMut, d2)
 }
 
 // mutable addition
-func (d Dec) AddMut(d2 Dec) Dec {
+func (d LegacyDec) AddMut(d2 LegacyDec) LegacyDec {
 	d.i.Add(d.i, d2.i)
 
 	if d.i.BitLen() > maxDecBitLen {
@@ -265,12 +263,12 @@ func (d Dec) AddMut(d2 Dec) Dec {
 }
 
 // subtraction
-func (d Dec) Sub(d2 Dec) Dec {
-	return d.ImmutOp(Dec.SubMut, d2)
+func (d LegacyDec) Sub(d2 LegacyDec) LegacyDec {
+	return d.ImmutOp(LegacyDec.SubMut, d2)
 }
 
 // mutable subtraction
-func (d Dec) SubMut(d2 Dec) Dec {
+func (d LegacyDec) SubMut(d2 LegacyDec) LegacyDec {
 	d.i.Sub(d.i, d2.i)
 
 	if d.i.BitLen() > maxDecBitLen {
@@ -280,12 +278,12 @@ func (d Dec) SubMut(d2 Dec) Dec {
 }
 
 // multiplication
-func (d Dec) Mul(d2 Dec) Dec {
-	return d.ImmutOp(Dec.MulMut, d2)
+func (d LegacyDec) Mul(d2 LegacyDec) LegacyDec {
+	return d.ImmutOp(LegacyDec.MulMut, d2)
 }
 
 // mutable multiplication
-func (d Dec) MulMut(d2 Dec) Dec {
+func (d LegacyDec) MulMut(d2 LegacyDec) LegacyDec {
 	d.i.Mul(d.i, d2.i)
 	chopped := chopPrecisionAndRound(d.i)
 
@@ -297,12 +295,12 @@ func (d Dec) MulMut(d2 Dec) Dec {
 }
 
 // multiplication truncate
-func (d Dec) MulTruncate(d2 Dec) Dec {
-	return d.ImmutOp(Dec.MulTruncateMut, d2)
+func (d LegacyDec) MulTruncate(d2 LegacyDec) LegacyDec {
+	return d.ImmutOp(LegacyDec.MulTruncateMut, d2)
 }
 
 // mutable multiplication truncage
-func (d Dec) MulTruncateMut(d2 Dec) Dec {
+func (d LegacyDec) MulTruncateMut(d2 LegacyDec) LegacyDec {
 	d.i.Mul(d.i, d2.i)
 	chopPrecisionAndTruncate(d.i)
 
@@ -313,11 +311,11 @@ func (d Dec) MulTruncateMut(d2 Dec) Dec {
 }
 
 // multiplication
-func (d Dec) MulInt(i Int) Dec {
-	return d.ImmutOpInt(Dec.MulIntMut, i)
+func (d LegacyDec) MulInt(i Int) LegacyDec {
+	return d.ImmutOpInt(LegacyDec.MulIntMut, i)
 }
 
-func (d Dec) MulIntMut(i Int) Dec {
+func (d LegacyDec) MulIntMut(i Int) LegacyDec {
 	d.i.Mul(d.i, i.BigInt())
 	if d.i.BitLen() > maxDecBitLen {
 		panic("Int overflow")
@@ -326,11 +324,11 @@ func (d Dec) MulIntMut(i Int) Dec {
 }
 
 // MulInt64 - multiplication with int64
-func (d Dec) MulInt64(i int64) Dec {
-	return d.ImmutOpInt64(Dec.MulInt64Mut, i)
+func (d LegacyDec) MulInt64(i int64) LegacyDec {
+	return d.ImmutOpInt64(LegacyDec.MulInt64Mut, i)
 }
 
-func (d Dec) MulInt64Mut(i int64) Dec {
+func (d LegacyDec) MulInt64Mut(i int64) LegacyDec {
 	d.i.Mul(d.i, big.NewInt(i))
 
 	if d.i.BitLen() > maxDecBitLen {
@@ -340,12 +338,12 @@ func (d Dec) MulInt64Mut(i int64) Dec {
 }
 
 // quotient
-func (d Dec) Quo(d2 Dec) Dec {
-	return d.ImmutOp(Dec.QuoMut, d2)
+func (d LegacyDec) Quo(d2 LegacyDec) LegacyDec {
+	return d.ImmutOp(LegacyDec.QuoMut, d2)
 }
 
 // mutable quotient
-func (d Dec) QuoMut(d2 Dec) Dec {
+func (d LegacyDec) QuoMut(d2 LegacyDec) LegacyDec {
 	// multiply precision twice
 	d.i.Mul(d.i, precisionReuse)
 	d.i.Mul(d.i, precisionReuse)
@@ -359,12 +357,12 @@ func (d Dec) QuoMut(d2 Dec) Dec {
 }
 
 // quotient truncate
-func (d Dec) QuoTruncate(d2 Dec) Dec {
-	return d.ImmutOp(Dec.QuoTruncateMut, d2)
+func (d LegacyDec) QuoTruncate(d2 LegacyDec) LegacyDec {
+	return d.ImmutOp(LegacyDec.QuoTruncateMut, d2)
 }
 
 // mutable quotient truncate
-func (d Dec) QuoTruncateMut(d2 Dec) Dec {
+func (d LegacyDec) QuoTruncateMut(d2 LegacyDec) LegacyDec {
 	// multiply precision twice
 	d.i.Mul(d.i, precisionReuse)
 	d.i.Mul(d.i, precisionReuse)
@@ -378,12 +376,12 @@ func (d Dec) QuoTruncateMut(d2 Dec) Dec {
 }
 
 // quotient, round up
-func (d Dec) QuoRoundUp(d2 Dec) Dec {
-	return d.ImmutOp(Dec.QuoRoundupMut, d2)
+func (d LegacyDec) QuoRoundUp(d2 LegacyDec) LegacyDec {
+	return d.ImmutOp(LegacyDec.QuoRoundupMut, d2)
 }
 
 // mutable quotient, round up
-func (d Dec) QuoRoundupMut(d2 Dec) Dec {
+func (d LegacyDec) QuoRoundupMut(d2 LegacyDec) LegacyDec {
 	// multiply precision twice
 	d.i.Mul(d.i, precisionReuse)
 	d.i.Mul(d.i, precisionReuse)
@@ -397,21 +395,21 @@ func (d Dec) QuoRoundupMut(d2 Dec) Dec {
 }
 
 // quotient
-func (d Dec) QuoInt(i Int) Dec {
-	return d.ImmutOpInt(Dec.QuoIntMut, i)
+func (d LegacyDec) QuoInt(i Int) LegacyDec {
+	return d.ImmutOpInt(LegacyDec.QuoIntMut, i)
 }
 
-func (d Dec) QuoIntMut(i Int) Dec {
+func (d LegacyDec) QuoIntMut(i Int) LegacyDec {
 	d.i.Quo(d.i, i.BigInt())
 	return d
 }
 
 // QuoInt64 - quotient with int64
-func (d Dec) QuoInt64(i int64) Dec {
-	return d.ImmutOpInt64(Dec.QuoInt64Mut, i)
+func (d LegacyDec) QuoInt64(i int64) LegacyDec {
+	return d.ImmutOpInt64(LegacyDec.QuoInt64Mut, i)
 }
 
-func (d Dec) QuoInt64Mut(i int64) Dec {
+func (d LegacyDec) QuoInt64Mut(i int64) LegacyDec {
 	d.i.Quo(d.i, big.NewInt(i))
 	return d
 }
@@ -422,7 +420,7 @@ func (d Dec) QuoInt64Mut(i int64) Dec {
 // approximate answer.  It returns `|d|.ApproxRoot() * -1` if input is negative.
 // A maximum number of 100 iterations is used a backup boundary condition for
 // cases where the answer never converges enough to satisfy the main condition.
-func (d Dec) ApproxRoot(root uint64) (guess Dec, err error) {
+func (d LegacyDec) ApproxRoot(root uint64) (guess LegacyDec, err error) {
 	defer func() {
 		if r := recover(); r != nil {
 			var ok bool
@@ -438,20 +436,20 @@ func (d Dec) ApproxRoot(root uint64) (guess Dec, err error) {
 		return absRoot.NegMut(), err
 	}
 
-	if root == 1 || d.IsZero() || d.Equal(OneDec()) {
+	if root == 1 || d.IsZero() || d.Equal(LegacyOneDec()) {
 		return d, nil
 	}
 
 	if root == 0 {
-		return OneDec(), nil
+		return LegacyOneDec(), nil
 	}
 
-	guess, delta := OneDec(), OneDec()
+	guess, delta := LegacyOneDec(), LegacyOneDec()
 
-	for iter := 0; delta.Abs().GT(SmallestDec()) && iter < maxApproxRootIterations; iter++ {
+	for iter := 0; delta.Abs().GT(LegacySmallestDec()) && iter < maxApproxRootIterations; iter++ {
 		prev := guess.Power(root - 1)
 		if prev.IsZero() {
-			prev = SmallestDec()
+			prev = LegacySmallestDec()
 		}
 		delta.Set(d).QuoMut(prev)
 		delta.SubMut(guess)
@@ -464,17 +462,17 @@ func (d Dec) ApproxRoot(root uint64) (guess Dec, err error) {
 }
 
 // Power returns a the result of raising to a positive integer power
-func (d Dec) Power(power uint64) Dec {
-	res := Dec{new(big.Int).Set(d.i)}
+func (d LegacyDec) Power(power uint64) LegacyDec {
+	res := LegacyDec{new(big.Int).Set(d.i)}
 	return res.PowerMut(power)
 }
 
-func (d Dec) PowerMut(power uint64) Dec {
+func (d LegacyDec) PowerMut(power uint64) LegacyDec {
 	if power == 0 {
 		d.SetInt64(1)
 		return d
 	}
-	tmp := OneDec()
+	tmp := LegacyOneDec()
 
 	for i := power; i > 1; {
 		if i%2 != 0 {
@@ -489,24 +487,24 @@ func (d Dec) PowerMut(power uint64) Dec {
 
 // ApproxSqrt is a wrapper around ApproxRoot for the common special case
 // of finding the square root of a number. It returns -(sqrt(abs(d)) if input is negative.
-func (d Dec) ApproxSqrt() (Dec, error) {
+func (d LegacyDec) ApproxSqrt() (LegacyDec, error) {
 	return d.ApproxRoot(2)
 }
 
 // is integer, e.g. decimals are zero
-func (d Dec) IsInteger() bool {
+func (d LegacyDec) IsInteger() bool {
 	return new(big.Int).Rem(d.i, precisionReuse).Sign() == 0
 }
 
 // format decimal state
-func (d Dec) Format(s fmt.State, verb rune) {
+func (d LegacyDec) Format(s fmt.State, verb rune) {
 	_, err := s.Write([]byte(d.String()))
 	if err != nil {
 		panic(err)
 	}
 }
 
-func (d Dec) String() string {
+func (d LegacyDec) String() string {
 	if d.i == nil {
 		return d.i.String()
 	}
@@ -527,24 +525,24 @@ func (d Dec) String() string {
 
 	// TODO: Remove trailing zeros
 	// case 1, purely decimal
-	if inputSize <= Precision {
-		bzStr = make([]byte, Precision+2)
+	if inputSize <= LegacyPrecision {
+		bzStr = make([]byte, LegacyPrecision+2)
 
 		// 0. prefix
 		bzStr[0] = byte('0')
 		bzStr[1] = byte('.')
 
 		// set relevant digits to 0
-		for i := 0; i < Precision-inputSize; i++ {
+		for i := 0; i < LegacyPrecision-inputSize; i++ {
 			bzStr[i+2] = byte('0')
 		}
 
 		// set final digits
-		copy(bzStr[2+(Precision-inputSize):], bzInt)
+		copy(bzStr[2+(LegacyPrecision-inputSize):], bzInt)
 	} else {
 		// inputSize + 1 to account for the decimal point that is being added
 		bzStr = make([]byte, inputSize+1)
-		decPointPlace := inputSize - Precision
+		decPointPlace := inputSize - LegacyPrecision
 
 		copy(bzStr, bzInt[:decPointPlace])                   // pre-decimal digits
 		bzStr[decPointPlace] = byte('.')                     // decimal point
@@ -560,13 +558,13 @@ func (d Dec) String() string {
 
 // Float64 returns the float64 representation of a Dec.
 // Will return the error if the conversion failed.
-func (d Dec) Float64() (float64, error) {
+func (d LegacyDec) Float64() (float64, error) {
 	return strconv.ParseFloat(d.String(), 64)
 }
 
 // MustFloat64 returns the float64 representation of a Dec.
 // Would panic if the conversion failed.
-func (d Dec) MustFloat64() float64 {
+func (d LegacyDec) MustFloat64() float64 {
 	if value, err := strconv.ParseFloat(d.String(), 64); err != nil {
 		panic(err)
 	} else {
@@ -647,7 +645,7 @@ func chopPrecisionAndRoundNonMutative(d *big.Int) *big.Int {
 }
 
 // RoundInt64 rounds the decimal using bankers rounding
-func (d Dec) RoundInt64() int64 {
+func (d LegacyDec) RoundInt64() int64 {
 	chopped := chopPrecisionAndRoundNonMutative(d.i)
 	if !chopped.IsInt64() {
 		panic("Int64() out of bound")
@@ -656,7 +654,7 @@ func (d Dec) RoundInt64() int64 {
 }
 
 // RoundInt round the decimal using bankers rounding
-func (d Dec) RoundInt() Int {
+func (d LegacyDec) RoundInt() Int {
 	return NewIntFromBigInt(chopPrecisionAndRoundNonMutative(d.i))
 }
 
@@ -673,7 +671,7 @@ func chopPrecisionAndTruncateNonMutative(d *big.Int) *big.Int {
 }
 
 // TruncateInt64 truncates the decimals from the number and returns an int64
-func (d Dec) TruncateInt64() int64 {
+func (d LegacyDec) TruncateInt64() int64 {
 	chopped := chopPrecisionAndTruncateNonMutative(d.i)
 	if !chopped.IsInt64() {
 		panic("Int64() out of bound")
@@ -682,18 +680,18 @@ func (d Dec) TruncateInt64() int64 {
 }
 
 // TruncateInt truncates the decimals from the number and returns an Int
-func (d Dec) TruncateInt() Int {
+func (d LegacyDec) TruncateInt() Int {
 	return NewIntFromBigInt(chopPrecisionAndTruncateNonMutative(d.i))
 }
 
 // TruncateDec truncates the decimals from the number and returns a Dec
-func (d Dec) TruncateDec() Dec {
-	return NewDecFromBigInt(chopPrecisionAndTruncateNonMutative(d.i))
+func (d LegacyDec) TruncateDec() LegacyDec {
+	return LegacyNewDecFromBigInt(chopPrecisionAndTruncateNonMutative(d.i))
 }
 
 // Ceil returns the smallest interger value (as a decimal) that is greater than
 // or equal to the given decimal.
-func (d Dec) Ceil() Dec {
+func (d LegacyDec) Ceil() LegacyDec {
 	tmp := new(big.Int).Set(d.i)
 
 	quo, rem := tmp, big.NewInt(0)
@@ -701,52 +699,52 @@ func (d Dec) Ceil() Dec {
 
 	// no need to round with a zero remainder regardless of sign
 	if rem.Cmp(zeroInt) == 0 {
-		return NewDecFromBigInt(quo)
+		return LegacyNewDecFromBigInt(quo)
 	}
 
 	if rem.Sign() == -1 {
-		return NewDecFromBigInt(quo)
+		return LegacyNewDecFromBigInt(quo)
 	}
 
-	return NewDecFromBigInt(quo.Add(quo, oneInt))
+	return LegacyNewDecFromBigInt(quo.Add(quo, oneInt))
 }
 
 // MaxSortableDec is the largest Dec that can be passed into SortableDecBytes()
 // Its negative form is the least Dec that can be passed in.
-var MaxSortableDec Dec
+var LegacyMaxSortableDec LegacyDec
 
 func init() {
-	MaxSortableDec = OneDec().Quo(SmallestDec())
+	LegacyMaxSortableDec = LegacyOneDec().Quo(LegacySmallestDec())
 }
 
 // ValidSortableDec ensures that a Dec is within the sortable bounds,
 // a Dec can't have a precision of less than 10^-18.
 // Max sortable decimal was set to the reciprocal of SmallestDec.
-func ValidSortableDec(dec Dec) bool {
-	return dec.Abs().LTE(MaxSortableDec)
+func LegacyValidSortableDec(dec LegacyDec) bool {
+	return dec.Abs().LTE(LegacyMaxSortableDec)
 }
 
 // SortableDecBytes returns a byte slice representation of a Dec that can be sorted.
 // Left and right pads with 0s so there are 18 digits to left and right of the decimal point.
 // For this reason, there is a maximum and minimum value for this, enforced by ValidSortableDec.
-func SortableDecBytes(dec Dec) []byte {
-	if !ValidSortableDec(dec) {
+func LegacySortableDecBytes(dec LegacyDec) []byte {
+	if !LegacyValidSortableDec(dec) {
 		panic("dec must be within bounds")
 	}
 	// Instead of adding an extra byte to all sortable decs in order to handle max sortable, we just
 	// makes its bytes be "max" which comes after all numbers in ASCIIbetical order
-	if dec.Equal(MaxSortableDec) {
+	if dec.Equal(LegacyMaxSortableDec) {
 		return []byte("max")
 	}
 	// For the same reason, we make the bytes of minimum sortable dec be --, which comes before all numbers.
-	if dec.Equal(MaxSortableDec.Neg()) {
+	if dec.Equal(LegacyMaxSortableDec.Neg()) {
 		return []byte("--")
 	}
 	// We move the negative sign to the front of all the left padded 0s, to make negative numbers come before positive numbers
 	if dec.IsNegative() {
-		return append([]byte("-"), []byte(fmt.Sprintf(fmt.Sprintf("%%0%ds", Precision*2+1), dec.Abs().String()))...)
+		return append([]byte("-"), []byte(fmt.Sprintf(fmt.Sprintf("%%0%ds", LegacyPrecision*2+1), dec.Abs().String()))...)
 	}
-	return []byte(fmt.Sprintf(fmt.Sprintf("%%0%ds", Precision*2+1), dec.String()))
+	return []byte(fmt.Sprintf(fmt.Sprintf("%%0%ds", LegacyPrecision*2+1), dec.String()))
 }
 
 // reuse nil values
@@ -759,7 +757,7 @@ func init() {
 }
 
 // MarshalJSON marshals the decimal
-func (d Dec) MarshalJSON() ([]byte, error) {
+func (d LegacyDec) MarshalJSON() ([]byte, error) {
 	if d.i == nil {
 		return nilJSON, nil
 	}
@@ -767,7 +765,7 @@ func (d Dec) MarshalJSON() ([]byte, error) {
 }
 
 // UnmarshalJSON defines custom decoding scheme
-func (d *Dec) UnmarshalJSON(bz []byte) error {
+func (d *LegacyDec) UnmarshalJSON(bz []byte) error {
 	if d.i == nil {
 		d.i = new(big.Int)
 	}
@@ -779,7 +777,7 @@ func (d *Dec) UnmarshalJSON(bz []byte) error {
 	}
 
 	// TODO: Reuse dec allocation
-	newDec, err := NewDecFromStr(text)
+	newDec, err := LegacyNewDecFromStr(text)
 	if err != nil {
 		return err
 	}
@@ -789,12 +787,12 @@ func (d *Dec) UnmarshalJSON(bz []byte) error {
 }
 
 // MarshalYAML returns the YAML representation.
-func (d Dec) MarshalYAML() (interface{}, error) {
+func (d LegacyDec) MarshalYAML() (interface{}, error) {
 	return d.String(), nil
 }
 
 // Marshal implements the gogo proto custom type interface.
-func (d Dec) Marshal() ([]byte, error) {
+func (d LegacyDec) Marshal() ([]byte, error) {
 	if d.i == nil {
 		d.i = new(big.Int)
 	}
@@ -802,7 +800,7 @@ func (d Dec) Marshal() ([]byte, error) {
 }
 
 // MarshalTo implements the gogo proto custom type interface.
-func (d *Dec) MarshalTo(data []byte) (n int, err error) {
+func (d *LegacyDec) MarshalTo(data []byte) (n int, err error) {
 	if d.i == nil {
 		d.i = new(big.Int)
 	}
@@ -822,7 +820,7 @@ func (d *Dec) MarshalTo(data []byte) (n int, err error) {
 }
 
 // Unmarshal implements the gogo proto custom type interface.
-func (d *Dec) Unmarshal(data []byte) error {
+func (d *LegacyDec) Unmarshal(data []byte) error {
 	if len(data) == 0 {
 		d = nil
 		return nil
@@ -844,23 +842,19 @@ func (d *Dec) Unmarshal(data []byte) error {
 }
 
 // Size implements the gogo proto custom type interface.
-func (d *Dec) Size() int {
+func (d *LegacyDec) Size() int {
 	bz, _ := d.Marshal()
 	return len(bz)
 }
 
 // Override Amino binary serialization by proxying to protobuf.
-func (d Dec) MarshalAmino() ([]byte, error)   { return d.Marshal() }
-func (d *Dec) UnmarshalAmino(bz []byte) error { return d.Unmarshal(bz) }
-
-func (dp DecProto) String() string {
-	return dp.Dec.String()
-}
+func (d LegacyDec) MarshalAmino() ([]byte, error)   { return d.Marshal() }
+func (d *LegacyDec) UnmarshalAmino(bz []byte) error { return d.Unmarshal(bz) }
 
 // helpers
 
 // test if two decimal arrays are equal
-func DecsEqual(d1s, d2s []Dec) bool {
+func LegacyDecsEqual(d1s, d2s []LegacyDec) bool {
 	if len(d1s) != len(d2s) {
 		return false
 	}
@@ -874,7 +868,7 @@ func DecsEqual(d1s, d2s []Dec) bool {
 }
 
 // minimum decimal between two
-func MinDec(d1, d2 Dec) Dec {
+func LegacyMinDec(d1, d2 LegacyDec) LegacyDec {
 	if d1.LT(d2) {
 		return d1
 	}
@@ -882,7 +876,7 @@ func MinDec(d1, d2 Dec) Dec {
 }
 
 // maximum decimal between two
-func MaxDec(d1, d2 Dec) Dec {
+func LegacyMaxDec(d1, d2 LegacyDec) LegacyDec {
 	if d1.LT(d2) {
 		return d2
 	}
@@ -890,11 +884,11 @@ func MaxDec(d1, d2 Dec) Dec {
 }
 
 // intended to be used with require/assert:  require.True(DecEq(...))
-func DecEq(t *testing.T, exp, got Dec) (*testing.T, bool, string, string, string) {
+func LegacyDecEq(t *testing.T, exp, got LegacyDec) (*testing.T, bool, string, string, string) {
 	return t, exp.Equal(got), "expected:\t%v\ngot:\t\t%v", exp.String(), got.String()
 }
 
-func DecApproxEq(t *testing.T, d1 Dec, d2 Dec, tol Dec) (*testing.T, bool, string, string, string) {
+func LegacyDecApproxEq(t *testing.T, d1 LegacyDec, d2 LegacyDec, tol LegacyDec) (*testing.T, bool, string, string, string) {
 	diff := d1.Sub(d2).Abs()
 	return t, diff.LTE(tol), "expected |d1 - d2| <:\t%v\ngot |d1 - d2| = \t\t%v", tol.String(), diff.String()
 }
diff --git a/types/decimal_internal_test.go b/math/dec_internal_test.go
similarity index 72%
rename from types/decimal_internal_test.go
rename to math/dec_internal_test.go
index 6127267853b..248bd4bc45a 100644
--- a/types/decimal_internal_test.go
+++ b/math/dec_internal_test.go
@@ -1,6 +1,7 @@
-package types
+package math
 
 import (
+	"encoding/json"
 	"math/big"
 	"testing"
 
@@ -22,34 +23,34 @@ func (s *decimalInternalTestSuite) TestPrecisionMultiplier() {
 }
 
 func (s *decimalInternalTestSuite) TestZeroDeserializationJSON() {
-	d := Dec{new(big.Int)}
-	err := cdc.UnmarshalJSON([]byte(`"0"`), &d)
+	d := LegacyDec{new(big.Int)}
+	err := json.Unmarshal([]byte(`"0"`), &d)
 	s.Require().Nil(err)
-	err = cdc.UnmarshalJSON([]byte(`"{}"`), &d)
+	err = json.Unmarshal([]byte(`"{}"`), &d)
 	s.Require().NotNil(err)
 }
 
 func (s *decimalInternalTestSuite) TestSerializationGocodecJSON() {
-	d := MustNewDecFromStr("0.333")
+	d := LegacyMustNewDecFromStr("0.333")
 
-	bz, err := cdc.MarshalJSON(d)
+	bz, err := json.Marshal(d)
 	s.Require().NoError(err)
 
-	d2 := Dec{new(big.Int)}
-	err = cdc.UnmarshalJSON(bz, &d2)
+	d2 := LegacyDec{new(big.Int)}
+	err = json.Unmarshal(bz, &d2)
 	s.Require().NoError(err)
 	s.Require().True(d.Equal(d2), "original: %v, unmarshalled: %v", d, d2)
 }
 
 func (s *decimalInternalTestSuite) TestDecMarshalJSON() {
-	decimal := func(i int64) Dec {
-		d := NewDec(0)
+	decimal := func(i int64) LegacyDec {
+		d := LegacyNewDec(0)
 		d.i = new(big.Int).SetInt64(i)
 		return d
 	}
 	tests := []struct {
 		name    string
-		d       Dec
+		d       LegacyDec
 		want    string
 		wantErr bool // if wantErr = false, will also attempt unmarshaling
 	}{
@@ -57,10 +58,10 @@ func (s *decimalInternalTestSuite) TestDecMarshalJSON() {
 		{"one", decimal(1), "\"0.000000000000000001\"", false},
 		{"ten", decimal(10), "\"0.000000000000000010\"", false},
 		{"12340", decimal(12340), "\"0.000000000000012340\"", false},
-		{"zeroInt", NewDec(0), "\"0.000000000000000000\"", false},
-		{"oneInt", NewDec(1), "\"1.000000000000000000\"", false},
-		{"tenInt", NewDec(10), "\"10.000000000000000000\"", false},
-		{"12340Int", NewDec(12340), "\"12340.000000000000000000\"", false},
+		{"zeroInt", LegacyNewDec(0), "\"0.000000000000000000\"", false},
+		{"oneInt", LegacyNewDec(1), "\"1.000000000000000000\"", false},
+		{"tenInt", LegacyNewDec(10), "\"10.000000000000000000\"", false},
+		{"12340Int", LegacyNewDec(12340), "\"12340.000000000000000000\"", false},
 	}
 	for _, tt := range tests {
 		tt := tt
@@ -72,7 +73,7 @@ func (s *decimalInternalTestSuite) TestDecMarshalJSON() {
 			}
 			if !tt.wantErr {
 				s.Require().Equal(tt.want, string(got), "incorrect marshalled value")
-				unmarshalledDec := NewDec(0)
+				unmarshalledDec := LegacyNewDec(0)
 				err := unmarshalledDec.UnmarshalJSON(got)
 				s.Require().NoError(err)
 				s.Require().Equal(tt.d, unmarshalledDec, "incorrect unmarshalled value")
diff --git a/math/dec_test.go b/math/dec_test.go
new file mode 100644
index 00000000000..d390d452013
--- /dev/null
+++ b/math/dec_test.go
@@ -0,0 +1,621 @@
+package math_test
+
+import (
+	"bytes"
+	"encoding/json"
+	"fmt"
+	"math/big"
+	"strings"
+	"testing"
+
+	"github.com/stretchr/testify/require"
+	"github.com/stretchr/testify/suite"
+	"sigs.k8s.io/yaml"
+
+	"cosmossdk.io/math"
+)
+
+type decimalTestSuite struct {
+	suite.Suite
+}
+
+func TestDecimalTestSuite(t *testing.T) {
+	suite.Run(t, new(decimalTestSuite))
+}
+
+func TestDecApproxEq(t *testing.T) {
+	// d1 = 0.55, d2 = 0.6, tol = 0.1
+	d1 := math.LegacyNewDecWithPrec(55, 2)
+	d2 := math.LegacyNewDecWithPrec(6, 1)
+	tol := math.LegacyNewDecWithPrec(1, 1)
+
+	require.True(math.LegacyDecApproxEq(t, d1, d2, tol))
+
+	// d1 = 0.55, d2 = 0.6, tol = 1E-5
+	d1 = math.LegacyNewDecWithPrec(55, 2)
+	d2 = math.LegacyNewDecWithPrec(6, 1)
+	tol = math.LegacyNewDecWithPrec(1, 5)
+
+	require.False(math.LegacyDecApproxEq(t, d1, d2, tol))
+
+	// d1 = 0.6, d2 = 0.61, tol = 0.01
+	d1 = math.LegacyNewDecWithPrec(6, 1)
+	d2 = math.LegacyNewDecWithPrec(61, 2)
+	tol = math.LegacyNewDecWithPrec(1, 2)
+
+	require.True(math.LegacyDecApproxEq(t, d1, d2, tol))
+}
+
+// create a decimal from a decimal string (ex. "1234.5678")
+func (s *decimalTestSuite) mustNewDecFromStr(str string) (d math.LegacyDec) {
+	d, err := math.LegacyNewDecFromStr(str)
+	s.Require().NoError(err)
+
+	return d
+}
+
+func (s *decimalTestSuite) TestNewDecFromStr() {
+	largeBigInt, ok := new(big.Int).SetString("3144605511029693144278234343371835", 10)
+	s.Require().True(ok)
+
+	largerBigInt, ok := new(big.Int).SetString("8888888888888888888888888888888888888888888888888888888888888888888844444440", 10)
+	s.Require().True(ok)
+
+	largestBigInt, ok := new(big.Int).SetString("33499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433535", 10)
+	s.Require().True(ok)
+
+	tests := []struct {
+		decimalStr string
+		expErr     bool
+		exp        math.LegacyDec
+	}{
+		{"", true, math.LegacyDec{}},
+		{"0.-75", true, math.LegacyDec{}},
+		{"0", false, math.LegacyNewDec(0)},
+		{"1", false, math.LegacyNewDec(1)},
+		{"1.1", false, math.LegacyNewDecWithPrec(11, 1)},
+		{"0.75", false, math.LegacyNewDecWithPrec(75, 2)},
+		{"0.8", false, math.LegacyNewDecWithPrec(8, 1)},
+		{"0.11111", false, math.LegacyNewDecWithPrec(11111, 5)},
+		{"314460551102969.3144278234343371835", true, math.LegacyNewDec(3141203149163817869)},
+		{
+			"314460551102969314427823434337.1835718092488231350",
+			true, math.LegacyNewDecFromBigIntWithPrec(largeBigInt, 4),
+		},
+		{
+			"314460551102969314427823434337.1835",
+			false, math.LegacyNewDecFromBigIntWithPrec(largeBigInt, 4),
+		},
+		{".", true, math.LegacyDec{}},
+		{".0", true, math.LegacyNewDec(0)},
+		{"1.", true, math.LegacyNewDec(1)},
+		{"foobar", true, math.LegacyDec{}},
+		{"0.foobar", true, math.LegacyDec{}},
+		{"0.foobar.", true, math.LegacyDec{}},
+		{"8888888888888888888888888888888888888888888888888888888888888888888844444440", false, math.LegacyNewDecFromBigInt(largerBigInt)},
+		{"33499189745056880149688856635597007162669032647290798121690100488888732861290.034376435130433535", false, math.LegacyNewDecFromBigIntWithPrec(largestBigInt, 18)},
+		{"133499189745056880149688856635597007162669032647290798121690100488888732861291", true, math.LegacyDec{}},
+	}
+
+	for tcIndex, tc := range tests {
+		res, err := math.LegacyNewDecFromStr(tc.decimalStr)
+		if tc.expErr {
+			s.Require().NotNil(err, "error expected, decimalStr %v, tc %v", tc.decimalStr, tcIndex)
+		} else {
+			s.Require().Nil(err, "unexpected error, decimalStr %v, tc %v", tc.decimalStr, tcIndex)
+			s.Require().True(res.Equal(tc.exp), "equality was incorrect, res %v, exp %v, tc %v", res, tc.exp, tcIndex)
+		}
+
+		// negative tc
+		res, err = math.LegacyNewDecFromStr("-" + tc.decimalStr)
+		if tc.expErr {
+			s.Require().NotNil(err, "error expected, decimalStr %v, tc %v", tc.decimalStr, tcIndex)
+		} else {
+			s.Require().Nil(err, "unexpected error, decimalStr %v, tc %v", tc.decimalStr, tcIndex)
+			exp := tc.exp.Mul(math.LegacyNewDec(-1))
+			s.Require().True(res.Equal(exp), "equality was incorrect, res %v, exp %v, tc %v", res, exp, tcIndex)
+		}
+	}
+}
+
+func (s *decimalTestSuite) TestDecString() {
+	tests := []struct {
+		d    math.LegacyDec
+		want string
+	}{
+		{math.LegacyNewDec(0), "0.000000000000000000"},
+		{math.LegacyNewDec(1), "1.000000000000000000"},
+		{math.LegacyNewDec(10), "10.000000000000000000"},
+		{math.LegacyNewDec(12340), "12340.000000000000000000"},
+		{math.LegacyNewDecWithPrec(12340, 4), "1.234000000000000000"},
+		{math.LegacyNewDecWithPrec(12340, 5), "0.123400000000000000"},
+		{math.LegacyNewDecWithPrec(12340, 8), "0.000123400000000000"},
+		{math.LegacyNewDecWithPrec(1009009009009009009, 17), "10.090090090090090090"},
+	}
+	for tcIndex, tc := range tests {
+		s.Require().Equal(tc.want, tc.d.String(), "bad String(), index: %v", tcIndex)
+	}
+}
+
+func (s *decimalTestSuite) TestDecFloat64() {
+	tests := []struct {
+		d    math.LegacyDec
+		want float64
+	}{
+		{math.LegacyNewDec(0), 0.000000000000000000},
+		{math.LegacyNewDec(1), 1.000000000000000000},
+		{math.LegacyNewDec(10), 10.000000000000000000},
+		{math.LegacyNewDec(12340), 12340.000000000000000000},
+		{math.LegacyNewDecWithPrec(12340, 4), 1.234000000000000000},
+		{math.LegacyNewDecWithPrec(12340, 5), 0.123400000000000000},
+		{math.LegacyNewDecWithPrec(12340, 8), 0.000123400000000000},
+		{math.LegacyNewDecWithPrec(1009009009009009009, 17), 10.090090090090090090},
+	}
+	for tcIndex, tc := range tests {
+		value, err := tc.d.Float64()
+		s.Require().Nil(err, "error getting Float64(), index: %v", tcIndex)
+		s.Require().Equal(tc.want, value, "bad Float64(), index: %v", tcIndex)
+		s.Require().Equal(tc.want, tc.d.MustFloat64(), "bad MustFloat64(), index: %v", tcIndex)
+	}
+}
+
+func (s *decimalTestSuite) TestEqualities() {
+	tests := []struct {
+		d1, d2     math.LegacyDec
+		gt, lt, eq bool
+	}{
+		{math.LegacyNewDec(0), math.LegacyNewDec(0), false, false, true},
+		{math.LegacyNewDecWithPrec(0, 2), math.LegacyNewDecWithPrec(0, 4), false, false, true},
+		{math.LegacyNewDecWithPrec(100, 0), math.LegacyNewDecWithPrec(100, 0), false, false, true},
+		{math.LegacyNewDecWithPrec(-100, 0), math.LegacyNewDecWithPrec(-100, 0), false, false, true},
+		{math.LegacyNewDecWithPrec(-1, 1), math.LegacyNewDecWithPrec(-1, 1), false, false, true},
+		{math.LegacyNewDecWithPrec(3333, 3), math.LegacyNewDecWithPrec(3333, 3), false, false, true},
+
+		{math.LegacyNewDecWithPrec(0, 0), math.LegacyNewDecWithPrec(3333, 3), false, true, false},
+		{math.LegacyNewDecWithPrec(0, 0), math.LegacyNewDecWithPrec(100, 0), false, true, false},
+		{math.LegacyNewDecWithPrec(-1, 0), math.LegacyNewDecWithPrec(3333, 3), false, true, false},
+		{math.LegacyNewDecWithPrec(-1, 0), math.LegacyNewDecWithPrec(100, 0), false, true, false},
+		{math.LegacyNewDecWithPrec(1111, 3), math.LegacyNewDecWithPrec(100, 0), false, true, false},
+		{math.LegacyNewDecWithPrec(1111, 3), math.LegacyNewDecWithPrec(3333, 3), false, true, false},
+		{math.LegacyNewDecWithPrec(-3333, 3), math.LegacyNewDecWithPrec(-1111, 3), false, true, false},
+
+		{math.LegacyNewDecWithPrec(3333, 3), math.LegacyNewDecWithPrec(0, 0), true, false, false},
+		{math.LegacyNewDecWithPrec(100, 0), math.LegacyNewDecWithPrec(0, 0), true, false, false},
+		{math.LegacyNewDecWithPrec(3333, 3), math.LegacyNewDecWithPrec(-1, 0), true, false, false},
+		{math.LegacyNewDecWithPrec(100, 0), math.LegacyNewDecWithPrec(-1, 0), true, false, false},
+		{math.LegacyNewDecWithPrec(100, 0), math.LegacyNewDecWithPrec(1111, 3), true, false, false},
+		{math.LegacyNewDecWithPrec(3333, 3), math.LegacyNewDecWithPrec(1111, 3), true, false, false},
+		{math.LegacyNewDecWithPrec(-1111, 3), math.LegacyNewDecWithPrec(-3333, 3), true, false, false},
+	}
+
+	for tcIndex, tc := range tests {
+		s.Require().Equal(tc.gt, tc.d1.GT(tc.d2), "GT result is incorrect, tc %d", tcIndex)
+		s.Require().Equal(tc.lt, tc.d1.LT(tc.d2), "LT result is incorrect, tc %d", tcIndex)
+		s.Require().Equal(tc.eq, tc.d1.Equal(tc.d2), "equality result is incorrect, tc %d", tcIndex)
+	}
+}
+
+func (s *decimalTestSuite) TestDecsEqual() {
+	tests := []struct {
+		d1s, d2s []math.LegacyDec
+		eq       bool
+	}{
+		{[]math.LegacyDec{math.LegacyNewDec(0)}, []math.LegacyDec{math.LegacyNewDec(0)}, true},
+		{[]math.LegacyDec{math.LegacyNewDec(0)}, []math.LegacyDec{math.LegacyNewDec(1)}, false},
+		{[]math.LegacyDec{math.LegacyNewDec(0)}, []math.LegacyDec{}, false},
+		{[]math.LegacyDec{math.LegacyNewDec(0), math.LegacyNewDec(1)}, []math.LegacyDec{math.LegacyNewDec(0), math.LegacyNewDec(1)}, true},
+		{[]math.LegacyDec{math.LegacyNewDec(1), math.LegacyNewDec(0)}, []math.LegacyDec{math.LegacyNewDec(1), math.LegacyNewDec(0)}, true},
+		{[]math.LegacyDec{math.LegacyNewDec(1), math.LegacyNewDec(0)}, []math.LegacyDec{math.LegacyNewDec(0), math.LegacyNewDec(1)}, false},
+		{[]math.LegacyDec{math.LegacyNewDec(1), math.LegacyNewDec(0)}, []math.LegacyDec{math.LegacyNewDec(1)}, false},
+		{[]math.LegacyDec{math.LegacyNewDec(1), math.LegacyNewDec(2)}, []math.LegacyDec{math.LegacyNewDec(2), math.LegacyNewDec(4)}, false},
+		{[]math.LegacyDec{math.LegacyNewDec(3), math.LegacyNewDec(18)}, []math.LegacyDec{math.LegacyNewDec(1), math.LegacyNewDec(6)}, false},
+	}
+
+	for tcIndex, tc := range tests {
+		s.Require().Equal(tc.eq, math.LegacyDecsEqual(tc.d1s, tc.d2s), "equality of decional arrays is incorrect, tc %d", tcIndex)
+		s.Require().Equal(tc.eq, math.LegacyDecsEqual(tc.d2s, tc.d1s), "equality of decional arrays is incorrect (converse), tc %d", tcIndex)
+	}
+}
+
+func (s *decimalTestSuite) TestArithmetic() {
+	tests := []struct {
+		d1, d2                                math.LegacyDec
+		expMul, expMulTruncate                math.LegacyDec
+		expQuo, expQuoRoundUp, expQuoTruncate math.LegacyDec
+		expAdd, expSub                        math.LegacyDec
+	}{
+		//  d1         d2         MUL    MulTruncate    QUO    QUORoundUp QUOTrunctate  ADD         SUB
+		{math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0)},
+		{math.LegacyNewDec(1), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(1), math.LegacyNewDec(1)},
+		{math.LegacyNewDec(0), math.LegacyNewDec(1), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(1), math.LegacyNewDec(-1)},
+		{math.LegacyNewDec(0), math.LegacyNewDec(-1), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(-1), math.LegacyNewDec(1)},
+		{math.LegacyNewDec(-1), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(0), math.LegacyNewDec(-1), math.LegacyNewDec(-1)},
+
+		{math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(2), math.LegacyNewDec(0)},
+		{math.LegacyNewDec(-1), math.LegacyNewDec(-1), math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(-2), math.LegacyNewDec(0)},
+		{math.LegacyNewDec(1), math.LegacyNewDec(-1), math.LegacyNewDec(-1), math.LegacyNewDec(-1), math.LegacyNewDec(-1), math.LegacyNewDec(-1), math.LegacyNewDec(-1), math.LegacyNewDec(0), math.LegacyNewDec(2)},
+		{math.LegacyNewDec(-1), math.LegacyNewDec(1), math.LegacyNewDec(-1), math.LegacyNewDec(-1), math.LegacyNewDec(-1), math.LegacyNewDec(-1), math.LegacyNewDec(-1), math.LegacyNewDec(0), math.LegacyNewDec(-2)},
+
+		{
+			math.LegacyNewDec(3), math.LegacyNewDec(7), math.LegacyNewDec(21), math.LegacyNewDec(21),
+			math.LegacyNewDecWithPrec(428571428571428571, 18), math.LegacyNewDecWithPrec(428571428571428572, 18), math.LegacyNewDecWithPrec(428571428571428571, 18),
+			math.LegacyNewDec(10), math.LegacyNewDec(-4),
+		},
+		{
+			math.LegacyNewDec(2), math.LegacyNewDec(4), math.LegacyNewDec(8), math.LegacyNewDec(8), math.LegacyNewDecWithPrec(5, 1), math.LegacyNewDecWithPrec(5, 1), math.LegacyNewDecWithPrec(5, 1),
+			math.LegacyNewDec(6), math.LegacyNewDec(-2),
+		},
+
+		{math.LegacyNewDec(100), math.LegacyNewDec(100), math.LegacyNewDec(10000), math.LegacyNewDec(10000), math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(200), math.LegacyNewDec(0)},
+
+		{
+			math.LegacyNewDecWithPrec(15, 1), math.LegacyNewDecWithPrec(15, 1), math.LegacyNewDecWithPrec(225, 2), math.LegacyNewDecWithPrec(225, 2),
+			math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(1), math.LegacyNewDec(3), math.LegacyNewDec(0),
+		},
+		{
+			math.LegacyNewDecWithPrec(3333, 4), math.LegacyNewDecWithPrec(333, 4), math.LegacyNewDecWithPrec(1109889, 8), math.LegacyNewDecWithPrec(1109889, 8),
+			math.LegacyMustNewDecFromStr("10.009009009009009009"), math.LegacyMustNewDecFromStr("10.009009009009009010"), math.LegacyMustNewDecFromStr("10.009009009009009009"),
+			math.LegacyNewDecWithPrec(3666, 4), math.LegacyNewDecWithPrec(3, 1),
+		},
+	}
+
+	for tcIndex, tc := range tests {
+		tc := tc
+		resAdd := tc.d1.Add(tc.d2)
+		resSub := tc.d1.Sub(tc.d2)
+		resMul := tc.d1.Mul(tc.d2)
+		resMulTruncate := tc.d1.MulTruncate(tc.d2)
+		s.Require().True(tc.expAdd.Equal(resAdd), "exp %v, res %v, tc %d", tc.expAdd, resAdd, tcIndex)
+		s.Require().True(tc.expSub.Equal(resSub), "exp %v, res %v, tc %d", tc.expSub, resSub, tcIndex)
+		s.Require().True(tc.expMul.Equal(resMul), "exp %v, res %v, tc %d", tc.expMul, resMul, tcIndex)
+		s.Require().True(tc.expMulTruncate.Equal(resMulTruncate), "exp %v, res %v, tc %d", tc.expMulTruncate, resMulTruncate, tcIndex)
+
+		if tc.d2.IsZero() { // panic for divide by zero
+			s.Require().Panics(func() { tc.d1.Quo(tc.d2) })
+		} else {
+			resQuo := tc.d1.Quo(tc.d2)
+			s.Require().True(tc.expQuo.Equal(resQuo), "exp %v, res %v, tc %d", tc.expQuo.String(), resQuo.String(), tcIndex)
+
+			resQuoRoundUp := tc.d1.QuoRoundUp(tc.d2)
+			s.Require().True(tc.expQuoRoundUp.Equal(resQuoRoundUp), "exp %v, res %v, tc %d",
+				tc.expQuoRoundUp.String(), resQuoRoundUp.String(), tcIndex)
+
+			resQuoTruncate := tc.d1.QuoTruncate(tc.d2)
+			s.Require().True(tc.expQuoTruncate.Equal(resQuoTruncate), "exp %v, res %v, tc %d",
+				tc.expQuoTruncate.String(), resQuoTruncate.String(), tcIndex)
+		}
+	}
+}
+
+func (s *decimalTestSuite) TestBankerRoundChop() {
+	tests := []struct {
+		d1  math.LegacyDec
+		exp int64
+	}{
+		{s.mustNewDecFromStr("0.25"), 0},
+		{s.mustNewDecFromStr("0"), 0},
+		{s.mustNewDecFromStr("1"), 1},
+		{s.mustNewDecFromStr("0.75"), 1},
+		{s.mustNewDecFromStr("0.5"), 0},
+		{s.mustNewDecFromStr("7.5"), 8},
+		{s.mustNewDecFromStr("1.5"), 2},
+		{s.mustNewDecFromStr("2.5"), 2},
+		{s.mustNewDecFromStr("0.545"), 1}, // 0.545-> 1 even though 5 is first decimal and 1 not even
+		{s.mustNewDecFromStr("1.545"), 2},
+	}
+
+	for tcIndex, tc := range tests {
+		resNeg := tc.d1.Neg().RoundInt64()
+		s.Require().Equal(-1*tc.exp, resNeg, "negative tc %d", tcIndex)
+
+		resPos := tc.d1.RoundInt64()
+		s.Require().Equal(tc.exp, resPos, "positive tc %d", tcIndex)
+	}
+}
+
+func (s *decimalTestSuite) TestTruncate() {
+	tests := []struct {
+		d1  math.LegacyDec
+		exp int64
+	}{
+		{s.mustNewDecFromStr("0"), 0},
+		{s.mustNewDecFromStr("0.25"), 0},
+		{s.mustNewDecFromStr("0.75"), 0},
+		{s.mustNewDecFromStr("1"), 1},
+		{s.mustNewDecFromStr("1.5"), 1},
+		{s.mustNewDecFromStr("7.5"), 7},
+		{s.mustNewDecFromStr("7.6"), 7},
+		{s.mustNewDecFromStr("7.4"), 7},
+		{s.mustNewDecFromStr("100.1"), 100},
+		{s.mustNewDecFromStr("1000.1"), 1000},
+	}
+
+	for tcIndex, tc := range tests {
+		resNeg := tc.d1.Neg().TruncateInt64()
+		s.Require().Equal(-1*tc.exp, resNeg, "negative tc %d", tcIndex)
+
+		resPos := tc.d1.TruncateInt64()
+		s.Require().Equal(tc.exp, resPos, "positive tc %d", tcIndex)
+	}
+}
+
+func (s *decimalTestSuite) TestStringOverflow() {
+	// two random 64 bit primes
+	dec1, err := math.LegacyNewDecFromStr("51643150036226787134389711697696177267")
+	s.Require().NoError(err)
+	dec2, err := math.LegacyNewDecFromStr("-31798496660535729618459429845579852627")
+	s.Require().NoError(err)
+	dec3 := dec1.Add(dec2)
+	s.Require().Equal(
+		"19844653375691057515930281852116324640.000000000000000000",
+		dec3.String(),
+	)
+}
+
+func (s *decimalTestSuite) TestDecMulInt() {
+	tests := []struct {
+		sdkDec math.LegacyDec
+		sdkInt math.Int
+		want   math.LegacyDec
+	}{
+		{math.LegacyNewDec(10), math.NewInt(2), math.LegacyNewDec(20)},
+		{math.LegacyNewDec(1000000), math.NewInt(100), math.LegacyNewDec(100000000)},
+		{math.LegacyNewDecWithPrec(1, 1), math.NewInt(10), math.LegacyNewDec(1)},
+		{math.LegacyNewDecWithPrec(1, 5), math.NewInt(20), math.LegacyNewDecWithPrec(2, 4)},
+	}
+	for i, tc := range tests {
+		got := tc.sdkDec.MulInt(tc.sdkInt)
+		s.Require().Equal(tc.want, got, "Incorrect result on test case %d", i)
+	}
+}
+
+func (s *decimalTestSuite) TestDecCeil() {
+	testCases := []struct {
+		input    math.LegacyDec
+		expected math.LegacyDec
+	}{
+		{math.LegacyNewDecWithPrec(1000000000000000, math.LegacyPrecision), math.LegacyNewDec(1)},      // 0.001 => 1.0
+		{math.LegacyNewDecWithPrec(-1000000000000000, math.LegacyPrecision), math.LegacyZeroDec()},     // -0.001 => 0.0
+		{math.LegacyZeroDec(), math.LegacyZeroDec()},                                                   // 0.0 => 0.0
+		{math.LegacyNewDecWithPrec(900000000000000000, math.LegacyPrecision), math.LegacyNewDec(1)},    // 0.9 => 1.0
+		{math.LegacyNewDecWithPrec(4001000000000000000, math.LegacyPrecision), math.LegacyNewDec(5)},   // 4.001 => 5.0
+		{math.LegacyNewDecWithPrec(-4001000000000000000, math.LegacyPrecision), math.LegacyNewDec(-4)}, // -4.001 => -4.0
+		{math.LegacyNewDecWithPrec(4700000000000000000, math.LegacyPrecision), math.LegacyNewDec(5)},   // 4.7 => 5.0
+		{math.LegacyNewDecWithPrec(-4700000000000000000, math.LegacyPrecision), math.LegacyNewDec(-4)}, // -4.7 => -4.0
+	}
+
+	for i, tc := range testCases {
+		res := tc.input.Ceil()
+		s.Require().Equal(tc.expected, res, "unexpected result for test case %d, input: %v", i, tc.input)
+	}
+}
+
+func (s *decimalTestSuite) TestPower() {
+	testCases := []struct {
+		input    math.LegacyDec
+		power    uint64
+		expected math.LegacyDec
+	}{
+		{math.LegacyNewDec(100), 0, math.LegacyOneDec()},                                                  // 10 ^ (0) => 1.0
+		{math.LegacyOneDec(), 10, math.LegacyOneDec()},                                                    // 1.0 ^ (10) => 1.0
+		{math.LegacyNewDecWithPrec(5, 1), 2, math.LegacyNewDecWithPrec(25, 2)},                            // 0.5 ^ 2 => 0.25
+		{math.LegacyNewDecWithPrec(2, 1), 2, math.LegacyNewDecWithPrec(4, 2)},                             // 0.2 ^ 2 => 0.04
+		{math.LegacyNewDecFromInt(math.NewInt(3)), 3, math.LegacyNewDecFromInt(math.NewInt(27))},          // 3 ^ 3 => 27
+		{math.LegacyNewDecFromInt(math.NewInt(-3)), 4, math.LegacyNewDecFromInt(math.NewInt(81))},         // -3 ^ 4 = 81
+		{math.LegacyNewDecWithPrec(1414213562373095049, 18), 2, math.LegacyNewDecFromInt(math.NewInt(2))}, // 1.414213562373095049 ^ 2 = 2
+	}
+
+	for i, tc := range testCases {
+		res := tc.input.Power(tc.power)
+		s.Require().True(tc.expected.Sub(res).Abs().LTE(math.LegacySmallestDec()), "unexpected result for test case %d, normal power, input: %v", i, tc.input)
+
+		mutableInput := tc.input
+		mutableInput.PowerMut(tc.power)
+		s.Require().True(tc.expected.Sub(mutableInput).Abs().LTE(math.LegacySmallestDec()),
+			"unexpected result for test case %d, input %v", i, tc.input)
+		s.Require().True(res.Equal(tc.input), "unexpected result for test case %d, mutable power, input: %v", i, tc.input)
+	}
+}
+
+func (s *decimalTestSuite) TestApproxRoot() {
+	testCases := []struct {
+		input    math.LegacyDec
+		root     uint64
+		expected math.LegacyDec
+	}{
+		{math.LegacyOneDec(), 10, math.LegacyOneDec()},                                                       // 1.0 ^ (0.1) => 1.0
+		{math.LegacyNewDecWithPrec(25, 2), 2, math.LegacyNewDecWithPrec(5, 1)},                               // 0.25 ^ (0.5) => 0.5
+		{math.LegacyNewDecWithPrec(4, 2), 2, math.LegacyNewDecWithPrec(2, 1)},                                // 0.04 ^ (0.5) => 0.2
+		{math.LegacyNewDecFromInt(math.NewInt(27)), 3, math.LegacyNewDecFromInt(math.NewInt(3))},             // 27 ^ (1/3) => 3
+		{math.LegacyNewDecFromInt(math.NewInt(-81)), 4, math.LegacyNewDecFromInt(math.NewInt(-3))},           // -81 ^ (0.25) => -3
+		{math.LegacyNewDecFromInt(math.NewInt(2)), 2, math.LegacyNewDecWithPrec(1414213562373095049, 18)},    // 2 ^ (0.5) => 1.414213562373095049
+		{math.LegacyNewDecWithPrec(1005, 3), 31536000, math.LegacyMustNewDecFromStr("1.000000000158153904")}, // 1.005 ^ (1/31536000) ≈ 1.00000000016
+		{math.LegacySmallestDec(), 2, math.LegacyNewDecWithPrec(1, 9)},                                       // 1e-18 ^ (0.5) => 1e-9
+		{math.LegacySmallestDec(), 3, math.LegacyMustNewDecFromStr("0.000000999999999997")},                  // 1e-18 ^ (1/3) => 1e-6
+		{math.LegacyNewDecWithPrec(1, 8), 3, math.LegacyMustNewDecFromStr("0.002154434690031900")},           // 1e-8 ^ (1/3) ≈ 0.00215443469
+		{math.LegacyMustNewDecFromStr("9000002314687921634000000000000000000021394871242000000000000000"), 2, math.LegacyMustNewDecFromStr("94868342004527103646332858502867.899477053226766107")},
+	}
+
+	// In the case of 1e-8 ^ (1/3), the result repeats every 5 iterations starting from iteration 24
+	// (i.e. 24, 29, 34, ... give the same result) and never converges enough. The maximum number of
+	// iterations (300) causes the result at iteration 300 to be returned, regardless of convergence.
+
+	for i, tc := range testCases {
+		res, err := tc.input.ApproxRoot(tc.root)
+		s.Require().NoError(err)
+		s.Require().True(tc.expected.Sub(res).Abs().LTE(math.LegacySmallestDec()), "unexpected result for test case %d, input: %v", i, tc.input)
+	}
+}
+
+func (s *decimalTestSuite) TestApproxSqrt() {
+	testCases := []struct {
+		input    math.LegacyDec
+		expected math.LegacyDec
+	}{
+		{math.LegacyOneDec(), math.LegacyOneDec()},                                                     // 1.0 => 1.0
+		{math.LegacyNewDecWithPrec(25, 2), math.LegacyNewDecWithPrec(5, 1)},                            // 0.25 => 0.5
+		{math.LegacyNewDecWithPrec(4, 2), math.LegacyNewDecWithPrec(2, 1)},                             // 0.09 => 0.3
+		{math.LegacyNewDecFromInt(math.NewInt(9)), math.LegacyNewDecFromInt(math.NewInt(3))},           // 9 => 3
+		{math.LegacyNewDecFromInt(math.NewInt(-9)), math.LegacyNewDecFromInt(math.NewInt(-3))},         // -9 => -3
+		{math.LegacyNewDecFromInt(math.NewInt(2)), math.LegacyNewDecWithPrec(1414213562373095049, 18)}, // 2 => 1.414213562373095049
+	}
+
+	for i, tc := range testCases {
+		res, err := tc.input.ApproxSqrt()
+		s.Require().NoError(err)
+		s.Require().Equal(tc.expected, res, "unexpected result for test case %d, input: %v", i, tc.input)
+	}
+}
+
+func (s *decimalTestSuite) TestDecSortableBytes() {
+	tests := []struct {
+		d    math.LegacyDec
+		want []byte
+	}{
+		{math.LegacyNewDec(0), []byte("000000000000000000.000000000000000000")},
+		{math.LegacyNewDec(1), []byte("000000000000000001.000000000000000000")},
+		{math.LegacyNewDec(10), []byte("000000000000000010.000000000000000000")},
+		{math.LegacyNewDec(12340), []byte("000000000000012340.000000000000000000")},
+		{math.LegacyNewDecWithPrec(12340, 4), []byte("000000000000000001.234000000000000000")},
+		{math.LegacyNewDecWithPrec(12340, 5), []byte("000000000000000000.123400000000000000")},
+		{math.LegacyNewDecWithPrec(12340, 8), []byte("000000000000000000.000123400000000000")},
+		{math.LegacyNewDecWithPrec(1009009009009009009, 17), []byte("000000000000000010.090090090090090090")},
+		{math.LegacyNewDecWithPrec(-1009009009009009009, 17), []byte("-000000000000000010.090090090090090090")},
+		{math.LegacyNewDec(1000000000000000000), []byte("max")},
+		{math.LegacyNewDec(-1000000000000000000), []byte("--")},
+	}
+	for tcIndex, tc := range tests {
+		s.Require().Equal(tc.want, math.LegacySortableDecBytes(tc.d), "bad String(), index: %v", tcIndex)
+	}
+
+	s.Require().Panics(func() { math.LegacySortableDecBytes(math.LegacyNewDec(1000000000000000001)) })
+	s.Require().Panics(func() { math.LegacySortableDecBytes(math.LegacyNewDec(-1000000000000000001)) })
+}
+
+func (s *decimalTestSuite) TestDecEncoding() {
+	largestBigInt, ok := new(big.Int).SetString("33499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433535", 10)
+	s.Require().True(ok)
+
+	smallestBigInt, ok := new(big.Int).SetString("-33499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433535", 10)
+	s.Require().True(ok)
+
+	const maxDecBitLen = 315
+	maxInt, ok := new(big.Int).SetString(strings.Repeat("1", maxDecBitLen), 2)
+	s.Require().True(ok)
+
+	testCases := []struct {
+		input   math.LegacyDec
+		rawBz   string
+		jsonStr string
+		yamlStr string
+	}{
+		{
+			math.LegacyNewDec(0), "30",
+			"\"0.000000000000000000\"",
+			"\"0.000000000000000000\"\n",
+		},
+		{
+			math.LegacyNewDecWithPrec(4, 2),
+			"3430303030303030303030303030303030",
+			"\"0.040000000000000000\"",
+			"\"0.040000000000000000\"\n",
+		},
+		{
+			math.LegacyNewDecWithPrec(-4, 2),
+			"2D3430303030303030303030303030303030",
+			"\"-0.040000000000000000\"",
+			"\"-0.040000000000000000\"\n",
+		},
+		{
+			math.LegacyNewDecWithPrec(1414213562373095049, 18),
+			"31343134323133353632333733303935303439",
+			"\"1.414213562373095049\"",
+			"\"1.414213562373095049\"\n",
+		},
+		{
+			math.LegacyNewDecWithPrec(-1414213562373095049, 18),
+			"2D31343134323133353632333733303935303439",
+			"\"-1.414213562373095049\"",
+			"\"-1.414213562373095049\"\n",
+		},
+		{
+			math.LegacyNewDecFromBigIntWithPrec(largestBigInt, 18),
+			"3333343939313839373435303536383830313439363838383536363335353937303037313632363639303332363437323930373938313231363930313030343838383838373332383631323930303334333736343335313330343333353335",
+			"\"33499189745056880149688856635597007162669032647290798121690100488888732861290.034376435130433535\"",
+			"\"33499189745056880149688856635597007162669032647290798121690100488888732861290.034376435130433535\"\n",
+		},
+		{
+			math.LegacyNewDecFromBigIntWithPrec(smallestBigInt, 18),
+			"2D3333343939313839373435303536383830313439363838383536363335353937303037313632363639303332363437323930373938313231363930313030343838383838373332383631323930303334333736343335313330343333353335",
+			"\"-33499189745056880149688856635597007162669032647290798121690100488888732861290.034376435130433535\"",
+			"\"-33499189745056880149688856635597007162669032647290798121690100488888732861290.034376435130433535\"\n",
+		},
+		{
+			math.LegacyNewDecFromBigIntWithPrec(maxInt, 18),
+			"3636373439353934383732353238343430303734383434343238333137373938353033353831333334353136333233363435333939303630383435303530323434343434333636343330363435303137313838323137353635323136373637",
+			"\"66749594872528440074844428317798503581334516323645399060845050244444366430645.017188217565216767\"",
+			"\"66749594872528440074844428317798503581334516323645399060845050244444366430645.017188217565216767\"\n",
+		},
+	}
+
+	for _, tc := range testCases {
+		bz, err := tc.input.Marshal()
+		s.Require().NoError(err)
+		s.Require().Equal(tc.rawBz, fmt.Sprintf("%X", bz))
+
+		var other math.LegacyDec
+		s.Require().NoError((&other).Unmarshal(bz))
+		s.Require().True(tc.input.Equal(other))
+
+		bz, err = json.Marshal(tc.input)
+		s.Require().NoError(err)
+		s.Require().Equal(tc.jsonStr, string(bz))
+		s.Require().NoError(json.Unmarshal(bz, &other))
+		s.Require().True(tc.input.Equal(other))
+
+		bz, err = yaml.Marshal(tc.input)
+		s.Require().NoError(err)
+		s.Require().Equal(tc.yamlStr, string(bz))
+	}
+}
+
+// Showcase that different orders of operations causes different results.
+func (s *decimalTestSuite) TestOperationOrders() {
+	n1 := math.LegacyNewDec(10)
+	n2 := math.LegacyNewDec(1000000010)
+	s.Require().Equal(n1.Mul(n2).Quo(n2), math.LegacyNewDec(10))
+	s.Require().NotEqual(n1.Mul(n2).Quo(n2), n1.Quo(n2).Mul(n2))
+}
+
+func BenchmarkMarshalTo(b *testing.B) {
+	b.ReportAllocs()
+	bis := []struct {
+		in   math.LegacyDec
+		want []byte
+	}{
+		{
+			math.LegacyNewDec(1e8), []byte{
+				0x31, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30,
+				0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30,
+				0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30,
+			},
+		},
+		{math.LegacyNewDec(0), []byte{0x30}},
+	}
+	data := make([]byte, 100)
+
+	b.ReportAllocs()
+	b.ResetTimer()
+
+	for i := 0; i < b.N; i++ {
+		for _, bi := range bis {
+			if n, err := bi.in.MarshalTo(data); err != nil {
+				b.Fatal(err)
+			} else {
+				if !bytes.Equal(data[:n], bi.want) {
+					b.Fatalf("Mismatch\nGot:  % x\nWant: % x\n", data[:n], bi.want)
+				}
+			}
+		}
+	}
+}
diff --git a/math/go.mod b/math/go.mod
index 0fc26ea1a96..8d808843efb 100644
--- a/math/go.mod
+++ b/math/go.mod
@@ -2,10 +2,14 @@ module cosmossdk.io/math
 
 go 1.18
 
-require github.com/stretchr/testify v1.8.0
+require (
+	github.com/stretchr/testify v1.8.0
+	sigs.k8s.io/yaml v1.3.0
+)
 
 require (
 	github.com/davecgh/go-spew v1.1.1 // indirect
 	github.com/pmezard/go-difflib v1.0.0 // indirect
+	gopkg.in/yaml.v2 v2.4.0 // indirect
 	gopkg.in/yaml.v3 v3.0.1 // indirect
 )
diff --git a/math/go.sum b/math/go.sum
index 51648299d59..341b49b6f41 100644
--- a/math/go.sum
+++ b/math/go.sum
@@ -10,6 +10,10 @@ github.com/stretchr/testify v1.8.0 h1:pSgiaMZlXftHpm5L7V1+rVB+AZJydKsMxsQBIJw4PK
 github.com/stretchr/testify v1.8.0/go.mod h1:yNjHg4UonilssWZ8iaSj1OCr/vHnekPRkoO+kdMU+MU=
 gopkg.in/check.v1 v0.0.0-20161208181325-20d25e280405 h1:yhCVgyC4o1eVCa2tZl7eS0r+SDo693bJlVdllGtEeKM=
 gopkg.in/check.v1 v0.0.0-20161208181325-20d25e280405/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0=
+gopkg.in/yaml.v2 v2.4.0 h1:D8xgwECY7CYvx+Y2n4sBz93Jn9JRvxdiyyo8CTfuKaY=
+gopkg.in/yaml.v2 v2.4.0/go.mod h1:RDklbk79AGWmwhnvt/jBztapEOGDOx6ZbXqjP6csGnQ=
 gopkg.in/yaml.v3 v3.0.0-20200313102051-9f266ea9e77c/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
 gopkg.in/yaml.v3 v3.0.1 h1:fxVm/GzAzEWqLHuvctI91KS9hhNmmWOoWu0XTYJS7CA=
 gopkg.in/yaml.v3 v3.0.1/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
+sigs.k8s.io/yaml v1.3.0 h1:a2VclLzOGrwOHDiV8EfBGhvjHvP46CtW5j6POvhYGGo=
+sigs.k8s.io/yaml v1.3.0/go.mod h1:GeOyir5tyXNByN85N/dRIT9es5UQNerPYEKK56eTBm8=
diff --git a/types/decimal_test.go b/types/decimal_test.go
deleted file mode 100644
index 9416b94938a..00000000000
--- a/types/decimal_test.go
+++ /dev/null
@@ -1,621 +0,0 @@
-package types_test
-
-import (
-	"bytes"
-	"encoding/json"
-	"fmt"
-	"math/big"
-	"strings"
-	"testing"
-
-	"github.com/stretchr/testify/require"
-	"github.com/stretchr/testify/suite"
-	"sigs.k8s.io/yaml"
-
-	sdk "github.com/cosmos/cosmos-sdk/types"
-)
-
-type decimalTestSuite struct {
-	suite.Suite
-}
-
-func TestDecimalTestSuite(t *testing.T) {
-	suite.Run(t, new(decimalTestSuite))
-}
-
-func TestDecApproxEq(t *testing.T) {
-	// d1 = 0.55, d2 = 0.6, tol = 0.1
-	d1 := sdk.NewDecWithPrec(55, 2)
-	d2 := sdk.NewDecWithPrec(6, 1)
-	tol := sdk.NewDecWithPrec(1, 1)
-
-	require.True(sdk.DecApproxEq(t, d1, d2, tol))
-
-	// d1 = 0.55, d2 = 0.6, tol = 1E-5
-	d1 = sdk.NewDecWithPrec(55, 2)
-	d2 = sdk.NewDecWithPrec(6, 1)
-	tol = sdk.NewDecWithPrec(1, 5)
-
-	require.False(sdk.DecApproxEq(t, d1, d2, tol))
-
-	// d1 = 0.6, d2 = 0.61, tol = 0.01
-	d1 = sdk.NewDecWithPrec(6, 1)
-	d2 = sdk.NewDecWithPrec(61, 2)
-	tol = sdk.NewDecWithPrec(1, 2)
-
-	require.True(sdk.DecApproxEq(t, d1, d2, tol))
-}
-
-// create a decimal from a decimal string (ex. "1234.5678")
-func (s *decimalTestSuite) mustNewDecFromStr(str string) (d sdk.Dec) {
-	d, err := sdk.NewDecFromStr(str)
-	s.Require().NoError(err)
-
-	return d
-}
-
-func (s *decimalTestSuite) TestNewDecFromStr() {
-	largeBigInt, ok := new(big.Int).SetString("3144605511029693144278234343371835", 10)
-	s.Require().True(ok)
-
-	largerBigInt, ok := new(big.Int).SetString("8888888888888888888888888888888888888888888888888888888888888888888844444440", 10)
-	s.Require().True(ok)
-
-	largestBigInt, ok := new(big.Int).SetString("33499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433535", 10)
-	s.Require().True(ok)
-
-	tests := []struct {
-		decimalStr string
-		expErr     bool
-		exp        sdk.Dec
-	}{
-		{"", true, sdk.Dec{}},
-		{"0.-75", true, sdk.Dec{}},
-		{"0", false, sdk.NewDec(0)},
-		{"1", false, sdk.NewDec(1)},
-		{"1.1", false, sdk.NewDecWithPrec(11, 1)},
-		{"0.75", false, sdk.NewDecWithPrec(75, 2)},
-		{"0.8", false, sdk.NewDecWithPrec(8, 1)},
-		{"0.11111", false, sdk.NewDecWithPrec(11111, 5)},
-		{"314460551102969.3144278234343371835", true, sdk.NewDec(3141203149163817869)},
-		{
-			"314460551102969314427823434337.1835718092488231350",
-			true, sdk.NewDecFromBigIntWithPrec(largeBigInt, 4),
-		},
-		{
-			"314460551102969314427823434337.1835",
-			false, sdk.NewDecFromBigIntWithPrec(largeBigInt, 4),
-		},
-		{".", true, sdk.Dec{}},
-		{".0", true, sdk.NewDec(0)},
-		{"1.", true, sdk.NewDec(1)},
-		{"foobar", true, sdk.Dec{}},
-		{"0.foobar", true, sdk.Dec{}},
-		{"0.foobar.", true, sdk.Dec{}},
-		{"8888888888888888888888888888888888888888888888888888888888888888888844444440", false, sdk.NewDecFromBigInt(largerBigInt)},
-		{"33499189745056880149688856635597007162669032647290798121690100488888732861290.034376435130433535", false, sdk.NewDecFromBigIntWithPrec(largestBigInt, 18)},
-		{"133499189745056880149688856635597007162669032647290798121690100488888732861291", true, sdk.Dec{}},
-	}
-
-	for tcIndex, tc := range tests {
-		res, err := sdk.NewDecFromStr(tc.decimalStr)
-		if tc.expErr {
-			s.Require().NotNil(err, "error expected, decimalStr %v, tc %v", tc.decimalStr, tcIndex)
-		} else {
-			s.Require().Nil(err, "unexpected error, decimalStr %v, tc %v", tc.decimalStr, tcIndex)
-			s.Require().True(res.Equal(tc.exp), "equality was incorrect, res %v, exp %v, tc %v", res, tc.exp, tcIndex)
-		}
-
-		// negative tc
-		res, err = sdk.NewDecFromStr("-" + tc.decimalStr)
-		if tc.expErr {
-			s.Require().NotNil(err, "error expected, decimalStr %v, tc %v", tc.decimalStr, tcIndex)
-		} else {
-			s.Require().Nil(err, "unexpected error, decimalStr %v, tc %v", tc.decimalStr, tcIndex)
-			exp := tc.exp.Mul(sdk.NewDec(-1))
-			s.Require().True(res.Equal(exp), "equality was incorrect, res %v, exp %v, tc %v", res, exp, tcIndex)
-		}
-	}
-}
-
-func (s *decimalTestSuite) TestDecString() {
-	tests := []struct {
-		d    sdk.Dec
-		want string
-	}{
-		{sdk.NewDec(0), "0.000000000000000000"},
-		{sdk.NewDec(1), "1.000000000000000000"},
-		{sdk.NewDec(10), "10.000000000000000000"},
-		{sdk.NewDec(12340), "12340.000000000000000000"},
-		{sdk.NewDecWithPrec(12340, 4), "1.234000000000000000"},
-		{sdk.NewDecWithPrec(12340, 5), "0.123400000000000000"},
-		{sdk.NewDecWithPrec(12340, 8), "0.000123400000000000"},
-		{sdk.NewDecWithPrec(1009009009009009009, 17), "10.090090090090090090"},
-	}
-	for tcIndex, tc := range tests {
-		s.Require().Equal(tc.want, tc.d.String(), "bad String(), index: %v", tcIndex)
-	}
-}
-
-func (s *decimalTestSuite) TestDecFloat64() {
-	tests := []struct {
-		d    sdk.Dec
-		want float64
-	}{
-		{sdk.NewDec(0), 0.000000000000000000},
-		{sdk.NewDec(1), 1.000000000000000000},
-		{sdk.NewDec(10), 10.000000000000000000},
-		{sdk.NewDec(12340), 12340.000000000000000000},
-		{sdk.NewDecWithPrec(12340, 4), 1.234000000000000000},
-		{sdk.NewDecWithPrec(12340, 5), 0.123400000000000000},
-		{sdk.NewDecWithPrec(12340, 8), 0.000123400000000000},
-		{sdk.NewDecWithPrec(1009009009009009009, 17), 10.090090090090090090},
-	}
-	for tcIndex, tc := range tests {
-		value, err := tc.d.Float64()
-		s.Require().Nil(err, "error getting Float64(), index: %v", tcIndex)
-		s.Require().Equal(tc.want, value, "bad Float64(), index: %v", tcIndex)
-		s.Require().Equal(tc.want, tc.d.MustFloat64(), "bad MustFloat64(), index: %v", tcIndex)
-	}
-}
-
-func (s *decimalTestSuite) TestEqualities() {
-	tests := []struct {
-		d1, d2     sdk.Dec
-		gt, lt, eq bool
-	}{
-		{sdk.NewDec(0), sdk.NewDec(0), false, false, true},
-		{sdk.NewDecWithPrec(0, 2), sdk.NewDecWithPrec(0, 4), false, false, true},
-		{sdk.NewDecWithPrec(100, 0), sdk.NewDecWithPrec(100, 0), false, false, true},
-		{sdk.NewDecWithPrec(-100, 0), sdk.NewDecWithPrec(-100, 0), false, false, true},
-		{sdk.NewDecWithPrec(-1, 1), sdk.NewDecWithPrec(-1, 1), false, false, true},
-		{sdk.NewDecWithPrec(3333, 3), sdk.NewDecWithPrec(3333, 3), false, false, true},
-
-		{sdk.NewDecWithPrec(0, 0), sdk.NewDecWithPrec(3333, 3), false, true, false},
-		{sdk.NewDecWithPrec(0, 0), sdk.NewDecWithPrec(100, 0), false, true, false},
-		{sdk.NewDecWithPrec(-1, 0), sdk.NewDecWithPrec(3333, 3), false, true, false},
-		{sdk.NewDecWithPrec(-1, 0), sdk.NewDecWithPrec(100, 0), false, true, false},
-		{sdk.NewDecWithPrec(1111, 3), sdk.NewDecWithPrec(100, 0), false, true, false},
-		{sdk.NewDecWithPrec(1111, 3), sdk.NewDecWithPrec(3333, 3), false, true, false},
-		{sdk.NewDecWithPrec(-3333, 3), sdk.NewDecWithPrec(-1111, 3), false, true, false},
-
-		{sdk.NewDecWithPrec(3333, 3), sdk.NewDecWithPrec(0, 0), true, false, false},
-		{sdk.NewDecWithPrec(100, 0), sdk.NewDecWithPrec(0, 0), true, false, false},
-		{sdk.NewDecWithPrec(3333, 3), sdk.NewDecWithPrec(-1, 0), true, false, false},
-		{sdk.NewDecWithPrec(100, 0), sdk.NewDecWithPrec(-1, 0), true, false, false},
-		{sdk.NewDecWithPrec(100, 0), sdk.NewDecWithPrec(1111, 3), true, false, false},
-		{sdk.NewDecWithPrec(3333, 3), sdk.NewDecWithPrec(1111, 3), true, false, false},
-		{sdk.NewDecWithPrec(-1111, 3), sdk.NewDecWithPrec(-3333, 3), true, false, false},
-	}
-
-	for tcIndex, tc := range tests {
-		s.Require().Equal(tc.gt, tc.d1.GT(tc.d2), "GT result is incorrect, tc %d", tcIndex)
-		s.Require().Equal(tc.lt, tc.d1.LT(tc.d2), "LT result is incorrect, tc %d", tcIndex)
-		s.Require().Equal(tc.eq, tc.d1.Equal(tc.d2), "equality result is incorrect, tc %d", tcIndex)
-	}
-}
-
-func (s *decimalTestSuite) TestDecsEqual() {
-	tests := []struct {
-		d1s, d2s []sdk.Dec
-		eq       bool
-	}{
-		{[]sdk.Dec{sdk.NewDec(0)}, []sdk.Dec{sdk.NewDec(0)}, true},
-		{[]sdk.Dec{sdk.NewDec(0)}, []sdk.Dec{sdk.NewDec(1)}, false},
-		{[]sdk.Dec{sdk.NewDec(0)}, []sdk.Dec{}, false},
-		{[]sdk.Dec{sdk.NewDec(0), sdk.NewDec(1)}, []sdk.Dec{sdk.NewDec(0), sdk.NewDec(1)}, true},
-		{[]sdk.Dec{sdk.NewDec(1), sdk.NewDec(0)}, []sdk.Dec{sdk.NewDec(1), sdk.NewDec(0)}, true},
-		{[]sdk.Dec{sdk.NewDec(1), sdk.NewDec(0)}, []sdk.Dec{sdk.NewDec(0), sdk.NewDec(1)}, false},
-		{[]sdk.Dec{sdk.NewDec(1), sdk.NewDec(0)}, []sdk.Dec{sdk.NewDec(1)}, false},
-		{[]sdk.Dec{sdk.NewDec(1), sdk.NewDec(2)}, []sdk.Dec{sdk.NewDec(2), sdk.NewDec(4)}, false},
-		{[]sdk.Dec{sdk.NewDec(3), sdk.NewDec(18)}, []sdk.Dec{sdk.NewDec(1), sdk.NewDec(6)}, false},
-	}
-
-	for tcIndex, tc := range tests {
-		s.Require().Equal(tc.eq, sdk.DecsEqual(tc.d1s, tc.d2s), "equality of decional arrays is incorrect, tc %d", tcIndex)
-		s.Require().Equal(tc.eq, sdk.DecsEqual(tc.d2s, tc.d1s), "equality of decional arrays is incorrect (converse), tc %d", tcIndex)
-	}
-}
-
-func (s *decimalTestSuite) TestArithmetic() {
-	tests := []struct {
-		d1, d2                                sdk.Dec
-		expMul, expMulTruncate                sdk.Dec
-		expQuo, expQuoRoundUp, expQuoTruncate sdk.Dec
-		expAdd, expSub                        sdk.Dec
-	}{
-		//  d1         d2         MUL    MulTruncate    QUO    QUORoundUp QUOTrunctate  ADD         SUB
-		{sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0)},
-		{sdk.NewDec(1), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(1), sdk.NewDec(1)},
-		{sdk.NewDec(0), sdk.NewDec(1), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(1), sdk.NewDec(-1)},
-		{sdk.NewDec(0), sdk.NewDec(-1), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(-1), sdk.NewDec(1)},
-		{sdk.NewDec(-1), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(0), sdk.NewDec(-1), sdk.NewDec(-1)},
-
-		{sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(2), sdk.NewDec(0)},
-		{sdk.NewDec(-1), sdk.NewDec(-1), sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(-2), sdk.NewDec(0)},
-		{sdk.NewDec(1), sdk.NewDec(-1), sdk.NewDec(-1), sdk.NewDec(-1), sdk.NewDec(-1), sdk.NewDec(-1), sdk.NewDec(-1), sdk.NewDec(0), sdk.NewDec(2)},
-		{sdk.NewDec(-1), sdk.NewDec(1), sdk.NewDec(-1), sdk.NewDec(-1), sdk.NewDec(-1), sdk.NewDec(-1), sdk.NewDec(-1), sdk.NewDec(0), sdk.NewDec(-2)},
-
-		{
-			sdk.NewDec(3), sdk.NewDec(7), sdk.NewDec(21), sdk.NewDec(21),
-			sdk.NewDecWithPrec(428571428571428571, 18), sdk.NewDecWithPrec(428571428571428572, 18), sdk.NewDecWithPrec(428571428571428571, 18),
-			sdk.NewDec(10), sdk.NewDec(-4),
-		},
-		{
-			sdk.NewDec(2), sdk.NewDec(4), sdk.NewDec(8), sdk.NewDec(8), sdk.NewDecWithPrec(5, 1), sdk.NewDecWithPrec(5, 1), sdk.NewDecWithPrec(5, 1),
-			sdk.NewDec(6), sdk.NewDec(-2),
-		},
-
-		{sdk.NewDec(100), sdk.NewDec(100), sdk.NewDec(10000), sdk.NewDec(10000), sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(200), sdk.NewDec(0)},
-
-		{
-			sdk.NewDecWithPrec(15, 1), sdk.NewDecWithPrec(15, 1), sdk.NewDecWithPrec(225, 2), sdk.NewDecWithPrec(225, 2),
-			sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(1), sdk.NewDec(3), sdk.NewDec(0),
-		},
-		{
-			sdk.NewDecWithPrec(3333, 4), sdk.NewDecWithPrec(333, 4), sdk.NewDecWithPrec(1109889, 8), sdk.NewDecWithPrec(1109889, 8),
-			sdk.MustNewDecFromStr("10.009009009009009009"), sdk.MustNewDecFromStr("10.009009009009009010"), sdk.MustNewDecFromStr("10.009009009009009009"),
-			sdk.NewDecWithPrec(3666, 4), sdk.NewDecWithPrec(3, 1),
-		},
-	}
-
-	for tcIndex, tc := range tests {
-		tc := tc
-		resAdd := tc.d1.Add(tc.d2)
-		resSub := tc.d1.Sub(tc.d2)
-		resMul := tc.d1.Mul(tc.d2)
-		resMulTruncate := tc.d1.MulTruncate(tc.d2)
-		s.Require().True(tc.expAdd.Equal(resAdd), "exp %v, res %v, tc %d", tc.expAdd, resAdd, tcIndex)
-		s.Require().True(tc.expSub.Equal(resSub), "exp %v, res %v, tc %d", tc.expSub, resSub, tcIndex)
-		s.Require().True(tc.expMul.Equal(resMul), "exp %v, res %v, tc %d", tc.expMul, resMul, tcIndex)
-		s.Require().True(tc.expMulTruncate.Equal(resMulTruncate), "exp %v, res %v, tc %d", tc.expMulTruncate, resMulTruncate, tcIndex)
-
-		if tc.d2.IsZero() { // panic for divide by zero
-			s.Require().Panics(func() { tc.d1.Quo(tc.d2) })
-		} else {
-			resQuo := tc.d1.Quo(tc.d2)
-			s.Require().True(tc.expQuo.Equal(resQuo), "exp %v, res %v, tc %d", tc.expQuo.String(), resQuo.String(), tcIndex)
-
-			resQuoRoundUp := tc.d1.QuoRoundUp(tc.d2)
-			s.Require().True(tc.expQuoRoundUp.Equal(resQuoRoundUp), "exp %v, res %v, tc %d",
-				tc.expQuoRoundUp.String(), resQuoRoundUp.String(), tcIndex)
-
-			resQuoTruncate := tc.d1.QuoTruncate(tc.d2)
-			s.Require().True(tc.expQuoTruncate.Equal(resQuoTruncate), "exp %v, res %v, tc %d",
-				tc.expQuoTruncate.String(), resQuoTruncate.String(), tcIndex)
-		}
-	}
-}
-
-func (s *decimalTestSuite) TestBankerRoundChop() {
-	tests := []struct {
-		d1  sdk.Dec
-		exp int64
-	}{
-		{s.mustNewDecFromStr("0.25"), 0},
-		{s.mustNewDecFromStr("0"), 0},
-		{s.mustNewDecFromStr("1"), 1},
-		{s.mustNewDecFromStr("0.75"), 1},
-		{s.mustNewDecFromStr("0.5"), 0},
-		{s.mustNewDecFromStr("7.5"), 8},
-		{s.mustNewDecFromStr("1.5"), 2},
-		{s.mustNewDecFromStr("2.5"), 2},
-		{s.mustNewDecFromStr("0.545"), 1}, // 0.545-> 1 even though 5 is first decimal and 1 not even
-		{s.mustNewDecFromStr("1.545"), 2},
-	}
-
-	for tcIndex, tc := range tests {
-		resNeg := tc.d1.Neg().RoundInt64()
-		s.Require().Equal(-1*tc.exp, resNeg, "negative tc %d", tcIndex)
-
-		resPos := tc.d1.RoundInt64()
-		s.Require().Equal(tc.exp, resPos, "positive tc %d", tcIndex)
-	}
-}
-
-func (s *decimalTestSuite) TestTruncate() {
-	tests := []struct {
-		d1  sdk.Dec
-		exp int64
-	}{
-		{s.mustNewDecFromStr("0"), 0},
-		{s.mustNewDecFromStr("0.25"), 0},
-		{s.mustNewDecFromStr("0.75"), 0},
-		{s.mustNewDecFromStr("1"), 1},
-		{s.mustNewDecFromStr("1.5"), 1},
-		{s.mustNewDecFromStr("7.5"), 7},
-		{s.mustNewDecFromStr("7.6"), 7},
-		{s.mustNewDecFromStr("7.4"), 7},
-		{s.mustNewDecFromStr("100.1"), 100},
-		{s.mustNewDecFromStr("1000.1"), 1000},
-	}
-
-	for tcIndex, tc := range tests {
-		resNeg := tc.d1.Neg().TruncateInt64()
-		s.Require().Equal(-1*tc.exp, resNeg, "negative tc %d", tcIndex)
-
-		resPos := tc.d1.TruncateInt64()
-		s.Require().Equal(tc.exp, resPos, "positive tc %d", tcIndex)
-	}
-}
-
-func (s *decimalTestSuite) TestStringOverflow() {
-	// two random 64 bit primes
-	dec1, err := sdk.NewDecFromStr("51643150036226787134389711697696177267")
-	s.Require().NoError(err)
-	dec2, err := sdk.NewDecFromStr("-31798496660535729618459429845579852627")
-	s.Require().NoError(err)
-	dec3 := dec1.Add(dec2)
-	s.Require().Equal(
-		"19844653375691057515930281852116324640.000000000000000000",
-		dec3.String(),
-	)
-}
-
-func (s *decimalTestSuite) TestDecMulInt() {
-	tests := []struct {
-		sdkDec sdk.Dec
-		sdkInt sdk.Int
-		want   sdk.Dec
-	}{
-		{sdk.NewDec(10), sdk.NewInt(2), sdk.NewDec(20)},
-		{sdk.NewDec(1000000), sdk.NewInt(100), sdk.NewDec(100000000)},
-		{sdk.NewDecWithPrec(1, 1), sdk.NewInt(10), sdk.NewDec(1)},
-		{sdk.NewDecWithPrec(1, 5), sdk.NewInt(20), sdk.NewDecWithPrec(2, 4)},
-	}
-	for i, tc := range tests {
-		got := tc.sdkDec.MulInt(tc.sdkInt)
-		s.Require().Equal(tc.want, got, "Incorrect result on test case %d", i)
-	}
-}
-
-func (s *decimalTestSuite) TestDecCeil() {
-	testCases := []struct {
-		input    sdk.Dec
-		expected sdk.Dec
-	}{
-		{sdk.NewDecWithPrec(1000000000000000, sdk.Precision), sdk.NewDec(1)},      // 0.001 => 1.0
-		{sdk.NewDecWithPrec(-1000000000000000, sdk.Precision), sdk.ZeroDec()},     // -0.001 => 0.0
-		{sdk.ZeroDec(), sdk.ZeroDec()},                                            // 0.0 => 0.0
-		{sdk.NewDecWithPrec(900000000000000000, sdk.Precision), sdk.NewDec(1)},    // 0.9 => 1.0
-		{sdk.NewDecWithPrec(4001000000000000000, sdk.Precision), sdk.NewDec(5)},   // 4.001 => 5.0
-		{sdk.NewDecWithPrec(-4001000000000000000, sdk.Precision), sdk.NewDec(-4)}, // -4.001 => -4.0
-		{sdk.NewDecWithPrec(4700000000000000000, sdk.Precision), sdk.NewDec(5)},   // 4.7 => 5.0
-		{sdk.NewDecWithPrec(-4700000000000000000, sdk.Precision), sdk.NewDec(-4)}, // -4.7 => -4.0
-	}
-
-	for i, tc := range testCases {
-		res := tc.input.Ceil()
-		s.Require().Equal(tc.expected, res, "unexpected result for test case %d, input: %v", i, tc.input)
-	}
-}
-
-func (s *decimalTestSuite) TestPower() {
-	testCases := []struct {
-		input    sdk.Dec
-		power    uint64
-		expected sdk.Dec
-	}{
-		{sdk.NewDec(100), 0, sdk.OneDec()},                                                 // 10 ^ (0) => 1.0
-		{sdk.OneDec(), 10, sdk.OneDec()},                                                   // 1.0 ^ (10) => 1.0
-		{sdk.NewDecWithPrec(5, 1), 2, sdk.NewDecWithPrec(25, 2)},                           // 0.5 ^ 2 => 0.25
-		{sdk.NewDecWithPrec(2, 1), 2, sdk.NewDecWithPrec(4, 2)},                            // 0.2 ^ 2 => 0.04
-		{sdk.NewDecFromInt(sdk.NewInt(3)), 3, sdk.NewDecFromInt(sdk.NewInt(27))},           // 3 ^ 3 => 27
-		{sdk.NewDecFromInt(sdk.NewInt(-3)), 4, sdk.NewDecFromInt(sdk.NewInt(81))},          // -3 ^ 4 = 81
-		{sdk.NewDecWithPrec(1414213562373095049, 18), 2, sdk.NewDecFromInt(sdk.NewInt(2))}, // 1.414213562373095049 ^ 2 = 2
-	}
-
-	for i, tc := range testCases {
-		res := tc.input.Power(tc.power)
-		s.Require().True(tc.expected.Sub(res).Abs().LTE(sdk.SmallestDec()), "unexpected result for test case %d, normal power, input: %v", i, tc.input)
-
-		mutableInput := tc.input
-		mutableInput.PowerMut(tc.power)
-		s.Require().True(tc.expected.Sub(mutableInput).Abs().LTE(sdk.SmallestDec()),
-			"unexpected result for test case %d, input %v", i, tc.input)
-		s.Require().True(res.Equal(tc.input), "unexpected result for test case %d, mutable power, input: %v", i, tc.input)
-	}
-}
-
-func (s *decimalTestSuite) TestApproxRoot() {
-	testCases := []struct {
-		input    sdk.Dec
-		root     uint64
-		expected sdk.Dec
-	}{
-		{sdk.OneDec(), 10, sdk.OneDec()},                                                       // 1.0 ^ (0.1) => 1.0
-		{sdk.NewDecWithPrec(25, 2), 2, sdk.NewDecWithPrec(5, 1)},                               // 0.25 ^ (0.5) => 0.5
-		{sdk.NewDecWithPrec(4, 2), 2, sdk.NewDecWithPrec(2, 1)},                                // 0.04 ^ (0.5) => 0.2
-		{sdk.NewDecFromInt(sdk.NewInt(27)), 3, sdk.NewDecFromInt(sdk.NewInt(3))},               // 27 ^ (1/3) => 3
-		{sdk.NewDecFromInt(sdk.NewInt(-81)), 4, sdk.NewDecFromInt(sdk.NewInt(-3))},             // -81 ^ (0.25) => -3
-		{sdk.NewDecFromInt(sdk.NewInt(2)), 2, sdk.NewDecWithPrec(1414213562373095049, 18)},     // 2 ^ (0.5) => 1.414213562373095049
-		{sdk.NewDecWithPrec(1005, 3), 31536000, sdk.MustNewDecFromStr("1.000000000158153904")}, // 1.005 ^ (1/31536000) ≈ 1.00000000016
-		{sdk.SmallestDec(), 2, sdk.NewDecWithPrec(1, 9)},                                       // 1e-18 ^ (0.5) => 1e-9
-		{sdk.SmallestDec(), 3, sdk.MustNewDecFromStr("0.000000999999999997")},                  // 1e-18 ^ (1/3) => 1e-6
-		{sdk.NewDecWithPrec(1, 8), 3, sdk.MustNewDecFromStr("0.002154434690031900")},           // 1e-8 ^ (1/3) ≈ 0.00215443469
-		{sdk.MustNewDecFromStr("9000002314687921634000000000000000000021394871242000000000000000"), 2, sdk.MustNewDecFromStr("94868342004527103646332858502867.899477053226766107")},
-	}
-
-	// In the case of 1e-8 ^ (1/3), the result repeats every 5 iterations starting from iteration 24
-	// (i.e. 24, 29, 34, ... give the same result) and never converges enough. The maximum number of
-	// iterations (300) causes the result at iteration 300 to be returned, regardless of convergence.
-
-	for i, tc := range testCases {
-		res, err := tc.input.ApproxRoot(tc.root)
-		s.Require().NoError(err)
-		s.Require().True(tc.expected.Sub(res).Abs().LTE(sdk.SmallestDec()), "unexpected result for test case %d, input: %v", i, tc.input)
-	}
-}
-
-func (s *decimalTestSuite) TestApproxSqrt() {
-	testCases := []struct {
-		input    sdk.Dec
-		expected sdk.Dec
-	}{
-		{sdk.OneDec(), sdk.OneDec()},                                                    // 1.0 => 1.0
-		{sdk.NewDecWithPrec(25, 2), sdk.NewDecWithPrec(5, 1)},                           // 0.25 => 0.5
-		{sdk.NewDecWithPrec(4, 2), sdk.NewDecWithPrec(2, 1)},                            // 0.09 => 0.3
-		{sdk.NewDecFromInt(sdk.NewInt(9)), sdk.NewDecFromInt(sdk.NewInt(3))},            // 9 => 3
-		{sdk.NewDecFromInt(sdk.NewInt(-9)), sdk.NewDecFromInt(sdk.NewInt(-3))},          // -9 => -3
-		{sdk.NewDecFromInt(sdk.NewInt(2)), sdk.NewDecWithPrec(1414213562373095049, 18)}, // 2 => 1.414213562373095049
-	}
-
-	for i, tc := range testCases {
-		res, err := tc.input.ApproxSqrt()
-		s.Require().NoError(err)
-		s.Require().Equal(tc.expected, res, "unexpected result for test case %d, input: %v", i, tc.input)
-	}
-}
-
-func (s *decimalTestSuite) TestDecSortableBytes() {
-	tests := []struct {
-		d    sdk.Dec
-		want []byte
-	}{
-		{sdk.NewDec(0), []byte("000000000000000000.000000000000000000")},
-		{sdk.NewDec(1), []byte("000000000000000001.000000000000000000")},
-		{sdk.NewDec(10), []byte("000000000000000010.000000000000000000")},
-		{sdk.NewDec(12340), []byte("000000000000012340.000000000000000000")},
-		{sdk.NewDecWithPrec(12340, 4), []byte("000000000000000001.234000000000000000")},
-		{sdk.NewDecWithPrec(12340, 5), []byte("000000000000000000.123400000000000000")},
-		{sdk.NewDecWithPrec(12340, 8), []byte("000000000000000000.000123400000000000")},
-		{sdk.NewDecWithPrec(1009009009009009009, 17), []byte("000000000000000010.090090090090090090")},
-		{sdk.NewDecWithPrec(-1009009009009009009, 17), []byte("-000000000000000010.090090090090090090")},
-		{sdk.NewDec(1000000000000000000), []byte("max")},
-		{sdk.NewDec(-1000000000000000000), []byte("--")},
-	}
-	for tcIndex, tc := range tests {
-		s.Require().Equal(tc.want, sdk.SortableDecBytes(tc.d), "bad String(), index: %v", tcIndex)
-	}
-
-	s.Require().Panics(func() { sdk.SortableDecBytes(sdk.NewDec(1000000000000000001)) })
-	s.Require().Panics(func() { sdk.SortableDecBytes(sdk.NewDec(-1000000000000000001)) })
-}
-
-func (s *decimalTestSuite) TestDecEncoding() {
-	largestBigInt, ok := new(big.Int).SetString("33499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433535", 10)
-	s.Require().True(ok)
-
-	smallestBigInt, ok := new(big.Int).SetString("-33499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433535", 10)
-	s.Require().True(ok)
-
-	const maxDecBitLen = 315
-	maxInt, ok := new(big.Int).SetString(strings.Repeat("1", maxDecBitLen), 2)
-	s.Require().True(ok)
-
-	testCases := []struct {
-		input   sdk.Dec
-		rawBz   string
-		jsonStr string
-		yamlStr string
-	}{
-		{
-			sdk.NewDec(0), "30",
-			"\"0.000000000000000000\"",
-			"\"0.000000000000000000\"\n",
-		},
-		{
-			sdk.NewDecWithPrec(4, 2),
-			"3430303030303030303030303030303030",
-			"\"0.040000000000000000\"",
-			"\"0.040000000000000000\"\n",
-		},
-		{
-			sdk.NewDecWithPrec(-4, 2),
-			"2D3430303030303030303030303030303030",
-			"\"-0.040000000000000000\"",
-			"\"-0.040000000000000000\"\n",
-		},
-		{
-			sdk.NewDecWithPrec(1414213562373095049, 18),
-			"31343134323133353632333733303935303439",
-			"\"1.414213562373095049\"",
-			"\"1.414213562373095049\"\n",
-		},
-		{
-			sdk.NewDecWithPrec(-1414213562373095049, 18),
-			"2D31343134323133353632333733303935303439",
-			"\"-1.414213562373095049\"",
-			"\"-1.414213562373095049\"\n",
-		},
-		{
-			sdk.NewDecFromBigIntWithPrec(largestBigInt, 18),
-			"3333343939313839373435303536383830313439363838383536363335353937303037313632363639303332363437323930373938313231363930313030343838383838373332383631323930303334333736343335313330343333353335",
-			"\"33499189745056880149688856635597007162669032647290798121690100488888732861290.034376435130433535\"",
-			"\"33499189745056880149688856635597007162669032647290798121690100488888732861290.034376435130433535\"\n",
-		},
-		{
-			sdk.NewDecFromBigIntWithPrec(smallestBigInt, 18),
-			"2D3333343939313839373435303536383830313439363838383536363335353937303037313632363639303332363437323930373938313231363930313030343838383838373332383631323930303334333736343335313330343333353335",
-			"\"-33499189745056880149688856635597007162669032647290798121690100488888732861290.034376435130433535\"",
-			"\"-33499189745056880149688856635597007162669032647290798121690100488888732861290.034376435130433535\"\n",
-		},
-		{
-			sdk.NewDecFromBigIntWithPrec(maxInt, 18),
-			"3636373439353934383732353238343430303734383434343238333137373938353033353831333334353136333233363435333939303630383435303530323434343434333636343330363435303137313838323137353635323136373637",
-			"\"66749594872528440074844428317798503581334516323645399060845050244444366430645.017188217565216767\"",
-			"\"66749594872528440074844428317798503581334516323645399060845050244444366430645.017188217565216767\"\n",
-		},
-	}
-
-	for _, tc := range testCases {
-		bz, err := tc.input.Marshal()
-		s.Require().NoError(err)
-		s.Require().Equal(tc.rawBz, fmt.Sprintf("%X", bz))
-
-		var other sdk.Dec
-		s.Require().NoError((&other).Unmarshal(bz))
-		s.Require().True(tc.input.Equal(other))
-
-		bz, err = json.Marshal(tc.input)
-		s.Require().NoError(err)
-		s.Require().Equal(tc.jsonStr, string(bz))
-		s.Require().NoError(json.Unmarshal(bz, &other))
-		s.Require().True(tc.input.Equal(other))
-
-		bz, err = yaml.Marshal(tc.input)
-		s.Require().NoError(err)
-		s.Require().Equal(tc.yamlStr, string(bz))
-	}
-}
-
-// Showcase that different orders of operations causes different results.
-func (s *decimalTestSuite) TestOperationOrders() {
-	n1 := sdk.NewDec(10)
-	n2 := sdk.NewDec(1000000010)
-	s.Require().Equal(n1.Mul(n2).Quo(n2), sdk.NewDec(10))
-	s.Require().NotEqual(n1.Mul(n2).Quo(n2), n1.Quo(n2).Mul(n2))
-}
-
-func BenchmarkMarshalTo(b *testing.B) {
-	b.ReportAllocs()
-	bis := []struct {
-		in   sdk.Dec
-		want []byte
-	}{
-		{
-			sdk.NewDec(1e8), []byte{
-				0x31, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30,
-				0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30,
-				0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30, 0x30,
-			},
-		},
-		{sdk.NewDec(0), []byte{0x30}},
-	}
-	data := make([]byte, 100)
-
-	b.ReportAllocs()
-	b.ResetTimer()
-
-	for i := 0; i < b.N; i++ {
-		for _, bi := range bis {
-			if n, err := bi.in.MarshalTo(data); err != nil {
-				b.Fatal(err)
-			} else {
-				if !bytes.Equal(data[:n], bi.want) {
-					b.Fatalf("Mismatch\nGot:  % x\nWant: % x\n", data[:n], bi.want)
-				}
-			}
-		}
-	}
-}
diff --git a/types/math.go b/types/math.go
index be46b059167..cc816d9fb0a 100644
--- a/types/math.go
+++ b/types/math.go
@@ -35,3 +35,40 @@ const (
 func (ip IntProto) String() string {
 	return ip.Int.String()
 }
+
+type (
+	Dec = sdkmath.LegacyDec
+)
+
+const (
+	Precision            = sdkmath.LegacyPrecision
+	DecimalPrecisionBits = sdkmath.LegacyDecimalPrecisionBits
+)
+
+var (
+	ZeroDec                  = sdkmath.LegacyZeroDec
+	OneDec                   = sdkmath.LegacyOneDec
+	SmallestDec              = sdkmath.LegacySmallestDec
+	NewDec                   = sdkmath.LegacyNewDec
+	NewDecWithPrec           = sdkmath.LegacyNewDecWithPrec
+	NewDecFromBigInt         = sdkmath.LegacyNewDecFromBigInt
+	NewDecFromBigIntWithPrec = sdkmath.LegacyNewDecFromBigIntWithPrec
+	NewDecFromInt            = sdkmath.LegacyNewDecFromInt
+	NewDecFromIntWithPrec    = sdkmath.LegacyNewDecFromIntWithPrec
+	NewDecFromStr            = sdkmath.LegacyNewDecFromStr
+	MustNewDecFromStr        = sdkmath.LegacyMustNewDecFromStr
+	MaxSortableDec           = sdkmath.LegacyMaxSortableDec
+	ValidSortableDec         = sdkmath.LegacyValidSortableDec
+	SortableDecBytes         = sdkmath.LegacySortableDecBytes
+	DecsEqual                = sdkmath.LegacyDecsEqual
+	MinDec                   = sdkmath.LegacyMinDec
+	MaxDec                   = sdkmath.LegacyMaxDec
+	DecEq                    = sdkmath.LegacyDecEq
+	DecApproxEq              = sdkmath.LegacyDecApproxEq
+)
+
+var _ CustomProtobufType = (*Dec)(nil)
+
+func (dp DecProto) String() string {
+	return dp.Dec.String()
+}