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  +  (-2)

  = 2 - 2

  = 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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.