Asked by Danielle Saenz on Jun 07, 2024
Verified
Rewrite 6(2⋅5) 6 ( 2 \cdot 5 ) 6(2⋅5) using the Associative Property of Multiplication.
A) (6⋅2) 15( 6 \cdot 2 ) \frac { 1 } { 5 }(6⋅2) 51
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⋅12) 5\left( 6 \cdot \frac { 1 } { 2 } \right) 5(6⋅21) 5
Associative Property
A mathematical rule stating that the way in which numbers are grouped in operations does not change their result.
Multiplication
A mathematical operation where a number is added to itself a certain number of times.
- Understand and apply the concept of the associative property of multiplication.
Verified Answer
CM
Caroline McGannJun 09, 2024
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.
Learning Objectives
- Understand and apply the concept of the associative property of multiplication.
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