Question

Ben is showing his work in simplifying (3.9 − 9.4) − 0.6 + 6.1. Identify any error in his work or reasoning.

Step 1: (3.9 − 9.4) − 0.6 + 6.1
Step 2: 3.9 + (−9.4 − 0.6) + 6.1 (associative property) Step 3: 3.9 − 10 + 6.1
Step 4: 3.9 + 6.1 − 10 (identity property)
Step 5: 10 − 10 = 0
A. He wrote identity instead of commutative in step 4.
B. He wrote associative instead of commutative in step 2.
C. He wrote identity instead of distributive in step 4.
D. He wrote associative instead of distributive in step 2.

Answer 1

he wrote identity instead of commutative in step 4 :) I hope this helps

Answer 2

A.He wrote identity property instead of commutative in step 4.

Explanation:

We are given that

Ben is showing his work in simplifying (3.9-9.4)-0.6+6.1

We have to identify error made by Ben in his work

Step 1. (3.9-9.4)-0.6+6.1

Step 2.3.9+(-9.4-0.6)+6.1

Reason: Using associative property of addition

`(a+b)+c=a+(b+c)`

Step 3.3.9-10+6.1

Step 4.3.9+6.1-10

Reason: Using commutative property of addition

`a+b=b+a`

Step 5.10-10=0

Therefore, he makes an error in step 4.he wrote identity property instead of commutative property of addition.

Hence, option A is true.

Answer: A.He wrote identity property instead of commutative in step 4.