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Roberto solved the following equation as shown. On which step did he apply the commutative property of addition as justification?

Roberto solved the following equation as shown. On which step did he apply the commutative-example-1

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Answer:

B. Step 2

Explanations:

The commutative property holds if the result of an operation is not affected by the positions or orders of the operands with respect to the operator. The commutative property only holds for addition and multiplication operators, it does not hold for subtraction and division.

The commutative property is described by the equations below:

a + b = b + a

a x b = b x a

In this question, the commutative property is applied in step 2

We can see from step 1 that the equation is:

8 + 5x - 15 = 23

In step 2, the positions of the 5x and 8 were swapped simply because it is an addition operator that is acting on them.

The equation now becomes:

5x + 8 - 15 = 23

This means that the Roberto applied the commutative property in step 2

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