Question

What equation shows an example of the associative property of addition

Answer 1

An equation that shows the associative property of addition is (A + B) + C = A + (B + C), meaning the grouping of numbers does not affect the sum.

Step-by-step explanation:

The associative property of addition states that how numbers are grouped in an addition operation does not change the sum. In other words, when adding three or more numbers, the sum is the same no matter how the numbers are grouped. An example equation that demonstrates the associative property of addition is:

(A + B) + C = A + (B + C)

For instance, if we apply this property to ordinary numbers, such as 1, 2, and 3, it might look like this:

(1 + 2) + 3 = 1 + (2 + 3)

Both expressions will yield the same result, which is 6.

Answer 2

Addition has three properties. These properties are commutative property of addition, associative property of addition, and identity property of addition.

Associative property of addition is the property where the grouping of addends can be changed resulting to the same sum.

(a + b) + c = a + (b +c)

Example: a = 1; b = 2; c = 3

1 + 2 + 3 = 6

(1 + 2) + 3 = 1 + (2 + 3)
3 + 3 = 1 + 5
6 = 6