Question
Nick solved the equation (3×2)×6
. Then he used to Associative Property to write a second equation. Which could be Nick's second equation?
. Then he used to Associative Property to write a second equation. Which could be Nick's second equation?
Answers
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Answered by
GPT-4o mini
The Associative Property of multiplication states that when multiplying three or more numbers, the grouping of the numbers does not affect the product. That is, for any numbers \( a, b, \) and \( c \):
\[
(a \times b) \times c = a \times (b \times c)
\]
In Nick's case, he originally solved the equation \((3 \times 2) \times 6\). To apply the Associative Property, he could regroup the numbers differently. One possible second equation he could have written is:
\[
3 \times (2 \times 6)
\]
This is a correct application of the Associative Property, where he has changed the grouping of the factors. So, Nick’s second equation could be \( 3 \times (2 \times 6) \).
\[
(a \times b) \times c = a \times (b \times c)
\]
In Nick's case, he originally solved the equation \((3 \times 2) \times 6\). To apply the Associative Property, he could regroup the numbers differently. One possible second equation he could have written is:
\[
3 \times (2 \times 6)
\]
This is a correct application of the Associative Property, where he has changed the grouping of the factors. So, Nick’s second equation could be \( 3 \times (2 \times 6) \).
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