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Rewrite (42x16) x 10 using the Associative Law of Multiplication.

A) 160x42
B) (42x10)x16
C) 42x(16 x10)
D) 16x(10x42)

1 Answer

6 votes

Final answer:

The expression (42x16) x 10, rewritten using the Associative Law of Multiplication, is 42 x (16 x 10). This demonstrates that the grouping can change without affecting the product of the numbers.

Step-by-step explanation:

To rewrite (42x16) x 10 using the Associative Law of Multiplication, we need to change the grouping of the factors without changing their order. According to the Associative Law, when three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. Therefore, (42x16) x 10 can be rewritten as 42 x (16 x 10), which corresponds to option C. Another example of the Associative Law is seeing how exponents multiply when the same base is involved such as in (a^b)^c = a^(b*c).

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