For each of the expressions in words, look at the Circles of Evaluation that Claire and Walker drew. Then, decide who is correct: Claire, Walker, or both? Justify your response.

Expression in words: Claire’s Circle: Walker’s Circle: Who is correct? Justify.

1

Find the quotient of 15 and 5. Multiply it by 6.

(​* (/ 15 5) 6)

(​* (/ 5 15) 6)

2

Double 8. Now add 7.

(+ (​* 2 8) 7)

(+ 7 (​* 2 8))

3

5 less than the product of 5 and 20.

(​- 5 (​* 5 20))

(​- (​* 20 5) 5)

4

One half of the quotient of 36 and 9.

(​* 1/2 (/ 36 9))

(​* (/ 36 9) 1/2)

5

Subtract 6 from 20 tripled.

(​- (​* 20 3) 6)

(​- 6 (​* 3 20))

6

The product of 4 and the difference of 3 and 1.

(​* 4 (​- 1 3))

(​* 4 (​- 3 1))

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