Question

6.

Name the property the equation illustrates.

–5 + (8 + 10) = (–5 + 8) + 10

Commutative Property of Addition

Inverse Property of Addition

Associative Property of Addition

Commutative Property of Multiplication

Answer 1

Associative Property of Addition

Answer 2

Answer: The correct option is (C) Associative Property of Addition.

Step-by-step explanation: We are given to name the property that the following equation illustrates:

`-5+(8+10)=(-5+8)+10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

Let us consider that

a = -5, b = 8 and c = 10.

Then, equation (i) becomes

`-5+(8+10)=(-5+8)+10\\\\\Rightarrow a+(b+c)=(a+b)+c,`

which is the associative property of addition for the real numbers a, b and c.

Thus, the given equation illustrates the associative property of addition.

Option (C) is CORRECT.