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

  1. Chapter 1 Class 8 Rational Numbers
  2. Concept wise
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.