Question

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Which property is illustrated by the following equation?
3/5 + (-7/8) + 4/5 = 3/5 + 4/5 + (-7/8)
a. commutative property of addition
b. addition property of equality
c. associative property of addition
d. identity property of addition

Answer 1

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Answer 2

Commutative Property of Addition

Explanation:

The commutative property states that you can change the order of the addends. For example, 4 + 7 = 7 + 4.

It is not the addition property of equality because this property states that whatever is added to one side of the equal sign must be added on the other side as well. For example, x - 5 = 8 is the same as x = 13 because we added 5 to both sides of the equation.

It is not the associative property because that states that you can change the grouping of the addends. For example, 3 + (7 + 29) = (3 + 7) + 29.

It is not the identity property because that states that a number plus 0 is still that number. For example, 54 + 0 = 54.

In the problem "3/5 + (-7/8) + 4/5 = 3/5 + 4/5 + (-7/8)" we are simply switching the 4/5 and the -7/8, so it is illustrated by the commutative property.