Property of Integers – Multiplicative Identity

What is multiplicative Identity Property

The multiplicative identity property is one of the important property of multiplication of numbers.

Thus, if we multiply any number by 1 the result will be the same number.

Multiplication means repeated addition.

Multiplicative Identity Property

The multiplicative identity for integers states that if a number is multiplied by 1 the product will be the number itself. Therefore, 1 is called the multiplicative identity for integers.

For any integer a, a x 1 = 1 x a = a

Therefore, one is the multiplicative identity for integers.

If any integer is multiplied by (-1) the product will be opposite of the number.

Multiplicative Zero Property

The multiplicative zero property for integers states that when we multiply any integer by zero we get zero.

If any integer is multiplied by 0 the product will be zero.

a x 0 = 0 x a = 0

Therefore, 0 is called the multiplicative zero property for integers.

a x 0 = 0

For any integer a, a x 0 = 0 = 0 x a

This shows that when any number is multiplied to zero, the result is zero.

Example: 25 x 0 = 0, 96 x 0 = 0

Example: If we multiply 3 to 0 we get 0 as the result.

3 x 0 = 0

16 x 0 = 0 (Positive Integers)

-27 x 0 = 0 (Negative Integers)

15/2 x 0 = 0 (Fractions)

0.18 x 1 = 0 (Decimals)

p x 0 = 0 (Algebraic expansion)

This property is also true for division, because dividing any number by 1 equals the number itself.

Therefore, 1 is also called divisive identity.