Additive Identity Property Formula

Additive identity formula states that adding 0 to any number does not changes the number and is written as:

  • a + 0 = a
  • 0 + a = a

For example, adding 8 to zero or zero to 8 ends in 8 as result, i.e. 8 + 0 = 0 + 8 = 8.

Additive Identity of Whole Numbers

Additive identity of whole number states that adding zero to a whole number does not affects the whole number. Now applying additive identity to whole numbers,

  • 5 + 0 = 0 + 5 = 5

Additive Identity of Integers

Additive identity for integers tells us that adding zero to any integer gives us the same integer back. Integers include whole numbers and negatives numbers, like 7, 0, and -9. Now applying additive identity to integers,

  • -7 + 0 = 0 + (-7) = -7
  • 11 + 0 = 0 + 11 = 11

Additive Identity Property Definition and Examples

Additive identity is a fundamental property in mathematics that states that “when we add zero to any number it results in the original number itself.” This property is also called the identity property of addition. Additive Property is also called “Additive Property of Zero.”

In this article, we will learn about, Additive Identity, its formula, application and examples in detail.

Table of Content

  • What is Additive Identity?
  • Additive Identity in Mathematics
  • Additive Identity Property Formula
  • Additive Identity Property
  • Additive Identity and Multiplicative Identity
  • Additive Identity Examples

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