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In the previous segment, we learnt about properties of integers. In this segment, we will learn about additive identity of integers.

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An additive identity is a number, which when added with any given number, gives the sum as the given number.

If ‘a’ is an additive identity then ‘a plus b’ will be equal to ‘b’, also ‘b plus a’ will be equal to ‘b’.

a + b = b b + a = b

Zero is the only number that will satisfy this condition for integers. 0 + b = b

b + 0 = b

For example, 4 + 0 = 4

-5 + 0 = -5

0 + 18 = 18

0 + (-12) = -12

Hence zero is the only additive identity for integers.

Summary

 Additive Identity A number, which when added with any given number, gives the sum as the given number Additive Identity of Integers 0 is the only additive identity of integers

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