Question

Maggie used the commutative property to write StartFraction 4 Over 5 EndFraction 6. 9 y minus 8 as the equivalent expression 6. 9 y 8 minus StartFraction 4 Over 5 EndFraction. Did Maggie apply the commutative property correctly? Why or why not? Yes, the terms with variables should be written first. Yes, there are the same number of terms. No, some of the terms changed signs. No, there should be two terms in parentheses.

Answer 1

No, some of the terms changed signs, the correct option is C.

Given

Maggie used the commutative property to write;

$\rm \dfrac{4}{5} + 6.9y - 8$

Commutative property

The commutative property of addition states that the sum of any two numbers remains the same even when the position of the numbers is interchanged.

Then,

She did not apply the commutative property correctly because she changed the signs of 4/5 and 8 and in consequence, the result will not be the same.

A, B and C, for a commutative property

(A+B)+C = C+(A+B)

4/5 + 6.9y - 8 as the equivalent expression of:

6.9y + 8 - 4/5

Hence, No, some of the terms changed signs.

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