Rewrite 6 ( 2 ⋅ 5 ) 6 ( 2 \cdot 5 ) 6 ( 2 ⋅ 5 ) using the Associative Property of Multiplication.A) ( 6 ⋅ 2 ) 1 5 ( 6 \cdot 2 ) \frac { 1 } { 5 } ( 6 ⋅ 2 ) 5 1 B) ( 6 ⋅ 2 ) ( 6 \cdot 2 ) ( 6 ⋅ 2 ) C) ( − 6 ⋅ 2 ) 5 ( - 6 \cdot 2 ) 5 ( − 6 ⋅ 2 ) 5 D) ( 6 ⋅ 2 ) 5 ( 6 \cdot 2 ) 5 ( 6 ⋅ 2 ) 5 E) ( 6 ⋅ 1 2 ) 5 \left( 6 \cdot \frac { 1 } { 2 } \right) 5 ( 6 ⋅ 2 1 ) 5

Question

Rewrite   6 ( 2 ⋅ 5 )  6 ( 2 \cdot 5 )  6 ( 2 ⋅ 5 )    using the Associative Property of Multiplication.A)    ( 6 ⋅ 2 )  1 5 ( 6 \cdot 2 )  \frac { 1 } { 5 } ( 6 ⋅ 2 )  5 1 ​ B)    ( 6 ⋅ 2 )  ( 6 \cdot 2 )  ( 6 ⋅ 2 )  C)    ( − 6 ⋅ 2 )  5 ( - 6 \cdot 2 )  5 ( − 6 ⋅ 2 )  5 D)    ( 6 ⋅ 2 )  5 ( 6 \cdot 2 )  5 ( 6 ⋅ 2 )  5 E)    ( 6 ⋅ 1 2 )  5 \left( 6 \cdot \frac { 1 } { 2 } \right)  5 ( 6 ⋅ 2 1 ​ )  5

Caroline McGann · Accepted Answer

Final Answer : D, Explanation :   The Associative Property of Multiplication states that changing the grouping of factors does not change the product. Therefore, we can rewrite   6 ( 2 ⋅ 5 ) 6 ( 2 \cdot 5 ) 6 ( 2 ⋅ 5 )   as   ( 6 ⋅ 2 ) ⋅ 5 (6 \cdot 2) \cdot 5 ( 6 ⋅ 2 ) ⋅ 5  , which is exactly answer choice D.

Rewrite $\cdot 5 )$ using the Associative Property of Multiplication.

A) $\cdot 2 ) \frac { 1 } { 5 }$
B) $\cdot 2 )$
C) $\cdot 2 ) 5$
D) $\cdot 2 ) 5$
E) $5\left( 6 \cdot \frac { 1 } { 2 } \right) 5$

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