Property of Integers – Subtractive Identity

What is Subtractive Identity Property

The subtractive identity property is one of the important property of subtraction of numbers.

In mathematics subtraction is an operation or process used to find the difference between two numbers or quantities.

Thus, if we subtract zero to any number the result will be the same number.

The subtractive property states that the difference of a number and 0 is the number itself.

When we subtract 0 from any number, it does not change the number.

Zero is called subtractive identity for integers.

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Subtractive Property states that when zero is subtracted from any integer, it will give the same given number.

The subtractive identity property is also called the identity property of zero.

For any integer a, a – 0 = a

Subtractive Identity Formula

The formula of subtractive property is

a – 0 = a

For any integer a – 0 = a

This shows that when zero is subtracted by any number the result is number itself.

Example: 25 – 0 = 25, 92 – 0 = 92

Example: If we subtract 0 from 8 we get 8 as the result.

8 – 0 = 0

7 – 0 = 7 (Positive Integers)

-7 – 0 = -7 (Negative Integers)

5/2 – 0 = 5/2 (Fractions)

0.8 – 0 = 0.8 (Decimals)

p – 0 = p (Algebraic expansion)

This property is also true for addition, because adding 0 from any number equals the number itself.

Therefore, 0 is also called additive identity.