Identity property of multiplication

The identity property of multiplication, also called the multiplication property of one says that a number does not change when that number is multiplied by 1.

Examples

3 × 1 = 3

10 × 1 = 10

6 × 1 = 6

68 × 1 = 68

1 × 4 = 4

1 × -9 = - 9

x × 1 = x

(a + b) × 1 = a + b

Multiplicative inverse property

If you multiply two numbers and the product is 1, we call the two numbers multiplicative inverses or reciprocals of each other

For example, 4 is the multiplicative inverse of 1/4 because 4 × 1/4 = 1

1/4 is also the multiplicative inverse of 4 because 1/4 × 4 = 1

Notice that the multiplicative inverse of 1 is 1. In fact, 1 and -1 are the only two numbers that can be their own multiplicative inverse

Notice also that any number divided by 1 return the same number

We call this the identity property of division

Examples

2 ÷ 1 = 2

50 ÷ 1 = 50

-5 ÷ 1 = -5