Properties of zero
The two properties of zero are the addition property and the multiplication property.
Addition 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
Additive inverse property
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
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