QuestionIs the law used in rewriting $9 \cdot 31=279$ as $31 \cdot 9=279$ commutative or associative?

Studdy Solution

STEP 1

Assumptions1. The commutative law of multiplication states that changing the order of the factors does not change the product. . The associative law of multiplication states that changing the grouping of the factors does not change the product.

STEP 2

We need to identify which law of multiplication is used in the given problem. The problem shows that $9 \cdot31 =279$ is rewritten as $31 \cdot9 =279$ .

STEP 3

The order of the factors in the multiplication has been changed from $9 \cdot31$ to $31 \cdot9$ , but the product remains the same, $279$ .

STEP 4

This change in order of factors without changing the product is a characteristic of the commutative law of multiplication. Therefore, the commutative law of multiplication was used.
The commutative law of multiplication was used.

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