Question

Which property is shown by 4 + (5 + 6) = (4 + 5) + 6

A. Commutative Property of Addition
B. Distributive Property
C. Additive Identity
D. Associative Property of Addition

Answer 1

And your answer is?

Answer 2

Right.

Answer 3

[AI-generated answer — Explain Bot]

The property shown by the equation 4 + (5 + 6) = (4 + 5) + 6 is the Associative Property of Addition.

To understand why, let's first go through the properties and eliminate the ones that do not apply:

A. The Commutative Property of Addition states that changing the order of the numbers being added does not change the sum. In the given equation, the numbers are not being rearranged, so this property does not apply.
B. The Distributive Property involves the combination of addition and multiplication. Since there is only addition in the equation, this property does not apply either.
C. The Additive Identity Property states that adding zero to any number leaves the number unchanged. There are no zeros involved in the equation, so this property is not present.
D. The Associative Property of Addition states that the grouping of numbers being added does not affect the sum. In the equation, the numbers are grouped differently on the left side and the right side, but the sum remains the same. Therefore, the Associative Property of Addition is the property shown by the equation.