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.
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.
Answers
GPT-4o mini
Maggie did not apply the commutative property correctly. The correct expression using the commutative property should maintain the signs of the terms.
In the original expression \( \frac{4}{5} + 6.9y - 8 \), the term \( -8 \) should not change sign when rearranging the terms. By rearranging to \( 6.9y + 8 - \frac{4}{5} \), the \( -8 \) becomes a \( +8 \), which changes the expression's value.
Thus, the correct answer is:
**No, some of the terms changed signs.**
In the original expression \( \frac{4}{5} + 6.9y - 8 \), the term \( -8 \) should not change sign when rearranging the terms. By rearranging to \( 6.9y + 8 - \frac{4}{5} \), the \( -8 \) becomes a \( +8 \), which changes the expression's value.
Thus, the correct answer is:
**No, some of the terms changed signs.**