Question

Circle the step where the error has occurred. Explain why it is an error.

Given: 2(10−13)=−34+60

Step 1: Distribute
20−26 = −34+60

Step 2: Addition Property of Equality
−26 = −34+80

Step 3: Addition Property of Equality
8=80

Step 4: Division Property of Equality
=10

Answer 1

2(10 - 13) = -34 + 60
20 - 26 = -34 + 60 (distribute)...correct
-26 = -34 + 40 <=== here it is....he added 20 instead of subtracting 20...he should have used the subtraction property

Answer 2

error in step 2. 20 is added on both sides instead of subtraction.

Explanation:

Given:
`2(10-13)=-34+60`

Step 1: Distribute

`20-26 = -34+60`

2 is distributed inside the parenthesis. 2 times 10 is 20

2 times -13 is -26

Step 2: Addition Property of Equality

`-26 = -34+80`

To eliminate 20 we subtract 20 from both sides. Here 20 is added on both sides. To eliminate any number we do opposite operation. So there is an error in this step.

Step 3: Addition Property of Equality

8=80

Step 4: Division Property of Equality

=10