Question

The expression [−89+(89+x)]+r
is manipulated using different properties so that it is equivalent to r+x
. In which step, if any, does the first error occur?

Steps and Properties Used to Simplify the Expression
Step Property Used
Step 1: [(−89+89)+x]+r
Associative Property of Addition
Step 2: [0+x]+r
Inverse Property of Addition
Step 3: x+r
Identity Property of Addition
Step 4: r+x
Commutative Property of Addition
(1 point)
Responses

Step 2
Step 2

Step 3
Step 3

Step 1
Step 1

no error
no error
Remaining Attempts : 3
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Answer 1

No error.

Each step correctly applies an addition property:
- Step 1: associative property regroups −89 + (89 + x) to (−89 + 89) + x.
- Step 2: inverse property gives (−89 + 89) = 0.
- Step 3: identity property gives 0 + x = x.
- Step 4: commutative property swaps x + r to r + x.