MathsIntegersAdditive identity

Additive identity

Table of Contents

  • Additive Identity
  • Summary
  • What’s Next?

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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    What is Additive Identity?

    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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