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Answered

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

Verified Answer :

Associative Property of Addition

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.