What property is illustrated in the equation: (5 + 3) + 0 = 5 + 3

Question

What property is illustrated in the equation: (5 + 3) + 0 = 5 + 3

Answer 1

The additive identity is zero. When the additive identity is added to any number the result is the original number.

a + 0 = a illustrates this property, where of course the "0" is the additive identity.

In the given problem, the original number is (5 + 3). When 0 is added to that number the result is the same number.

One way to answer the question:

Adding zero to a number does not affect its value.

Note that "1" is the multiplicative identity.

a (1) = a

Multiplying a number by 1 does not affect its value.