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Sticky Note
If the additive inverse of 'b' is 'a' then
  1. ab=1
  2. a=b
  3. a+b=0
  4. a-b=0
Explanation

The additive inverse of " b" is " a "

To find :

(A) ab = 1

(B) a = b

(C) a + b = 0

(D) a - b = 0

Solution :

Step 1

Define the additive inverse of a number

We know that 0 is the additive identity

Let N be any number and M be the additive inverse of N

So by the property of additive inverse

N + M = 0 = M + N

Step 2

Choose the correct option

Here it is given that the additive inverse of " b" is " a "

So by the given condition

a + b = 0 = b + a

Hence a + b = 0

ND5-07-2023

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