# Properties of zero

The two properties of zero are the addition property and the multiplication property.

The addition property says that a number does not change when adding or subtracting zero from that number

Examples

2 + 0 = 2

12 + 0 = 12

5 − 0 = 5

48 − 0 = 48

0 + 1 = 1

0 − 9 = - 9

x + 0 = x

(a + b) + 0 = a + b

If you add two numbers and the sum is zero, we call the two numbers additive inverses or opposites of each other

For example, 2 is the additive inverse of -2 because 2 + -2 = 0

-2 is also the additive inverse of 2 because -2 + 2 = 0

Multiplication property

The multiplication property says that zero times any number is equal to zero

Examples

2 × 0 = 0

0 × 12 = 0

-5 × 0 = 0

23344555677888882 × 0 = 0

x × 0 = 0

(x + y + z + r )× 0 = 0

Get an answer in 10 minutes or less from a math expert!

Justanswer features top-notch math experts handpicked by personnel after they have taken and passed a rigourous math test and after their credentials have been verified by a third party