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##
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Multiplicative
**
**
Identity
**

1 is called multiplicative identity.

a × 1 = 1 × a = a

##
**
Multiplicative Inverse
**

Reciprocal of a number is called multiplicative inverse

Like

Multiplicative inverse of 2 = 1/2

Multiplicative inverse of 4 = 1/4

Let’s do some more examples and check as well

####
**
**

Multiplicative inverse of –6

Multiplicative inverse for −6 = 1/(-6) = (-1)/6

**
Check
**
: Number × Multiplicative Inverse = 1

__
L.H.S
__
: Number × Multiplicative Inverse

= −6 × (-1)/6

= 1

= R.H.S

Hence, (-1)/6 is Multiplicative inverse of –6

#### Multiplicative inverse of 2/3

Multiplicative inverse for 2/3 = 3/2

**
Check
**
: Number × Multiplicative Inverse = 1

__
L.H.S
__
: Number × Multiplicative Inverse

= 2/3 × 3/2

= 1

= R.H.S

Hence, 3/2 is Multiplicative inverse of 2/3

####
**
**

Multiplicative inverse of (-4)/5

Multiplicative inverse for (-4)/5 = 5/(−4) = (−5)/4

**
Check
**
: Number × Multiplicative Inverse = 1

__
L.H.S
__
: Number × Multiplicative Inverse

= (-4)/5 × (-5)/4

= 1

= R.H.S

Hence, (-5)/4 is Multiplicative inverse of (-4)/5

#### Multiplicative inverse of 9/80

Multiplicative inverse for 9/80 = 80/9

**
Check
**
: Number × Multiplicative Inverse = 1

__
L.H.S
__
: Number × Multiplicative Inverse

= 9/80 × 80/9

= 1

= R.H.S

Hence, 9/80 is Multiplicative inverse of 80/9