Multiplicative Identity
1 is called multiplicative identity.
a × 1 = 1 × a = a
Multiplicative Inverse
Reciprocal of a number is called multiplicative inverse
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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
