Question

Give an example of:

a) The Associative Property of Addition
b) The Commutative Property of Addition
c) The Opposite Sum Property
a) a) (2 + 3) + 4 = 2 + (3 + 4)
b) b) 2 + 3 = 3 + 2
c) c) 5 + (-5) = 0

Answer 1

The Associative Property of Addition states that the grouping of numbers does not affect the final result. The Commutative Property of Addition states that the order in which numbers are added does not affect the final result. The Opposite Sum Property states that adding a number with its opposite always results in zero.

Step-by-step explanation:

a) Associative Property of Addition: (2 + 3) + 4 = 2 + (3 + 4). This property states that when adding multiple numbers, the grouping of the numbers does not affect the final result.

b) Commutative Property of Addition: 2 + 3 = 3 + 2. This property states that the order in which numbers are added does not affect the final result.

c) Opposite Sum Property: 5 + (-5) = 0. This property states that when adding a number with its opposite, the result is always zero.