Question

which property of multiplication is shown?
$(7 - 6) \times 2 = 7 \times 2 - 6 \times 2$
associative
commutative
distributive
identity
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Explanation:

The distributive property of multiplication over subtraction states that \(a\times(b - c)=a\times b - a\times c\). In the given equation \((7 - 6)\times2 = 7\times2 - 6\times2\), we can see that 2 is distributed over the subtraction of 7 and 6. The associative property is about grouping in multiplication (e.g., \((a\times b)\times c=a\times(b\times c)\)), the commutative property is about order (e.g., \(a\times b = b\times a\)), and the identity property is about multiplying by 1 (e.g., \(a\times1=a\)). So the property shown is distributive.

Answer:

distributive