Additive Identity

0 is called additive identity.

  a + 0 = 0 + a = a

 

Additive Inverse

Negative of a number is called additive inverse.

 

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Additive inverse of 56 = −56

Additive inverse of –10 = −(–10) = 10

Let’s do some more examples and check as well

 

Additive inverse of 2

 

Additive inverse of 2 = -2

 

Check : Number + Additive inverse = 0

 

L.H.S =  Number + Additive inverse

  = –2  + 0

  = 0

  = R.H.S

 

Hence, –2 is the additive inverse of 2

 

Additive inverse of 2/3

 

Additive inverse of 2/3 = (-2)/3

 

Check : Number + Additive inverse = 0

 

L.H.S =  Number + Additive inverse

          = 2/3+((-2)/3)

          = 2/3-2/3

          = 0

         = R.H.S

 

Hence, (-2)/3  is the additive inverse of 2/3

 

Additive inverse of (-4)/5

 

Additive inverse of (-4)/5 = −((−4)/5) = 4/5

 

Check : Number + Additive inverse = 0

 

L.H.S =  Number + Additive inverse

          = (-4)/5+ 4/5

          = 0

         = R.H.S

 

Hence, 4/5 is the additive inverse of (-4)/5

  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.