Question
Which of the following statements uses the associative law of multiplication (5×6)×2 = 2×(5×6). (5×6)×2 = 5×(12 times one). (5×6)×2 = (2×15). (5×6)×2 = 5×(6×2)
Answers
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GPT-4o
The associative law of multiplication states that the way in which factors are grouped in a multiplication problem does not change the product. In other words, for any numbers \( a \), \( b \), and \( c \):
\[ (a \times b) \times c = a \times (b \times c) \]
Among the given statements, the one that uses the associative law of multiplication is:
\[ (5 \times 6) \times 2 = 5 \times (6 \times 2) \]
Both sides of this equation rearrange the grouping of the numbers being multiplied without changing their order, consistent with the associative law of multiplication.
\[ (a \times b) \times c = a \times (b \times c) \]
Among the given statements, the one that uses the associative law of multiplication is:
\[ (5 \times 6) \times 2 = 5 \times (6 \times 2) \]
Both sides of this equation rearrange the grouping of the numbers being multiplied without changing their order, consistent with the associative law of multiplication.