Match each expression with the appropriate property. 9(4...

Name: Problem 21, Chapter 0: Intermediate Algebra
Uploaded: 2020-06-16T10:00:30-08:00
Duration: 34 s
Channel: Ankit Gupta

Match each expression with the appropriate property. $$9(4 \cdot 12)=(9 \cdot 4) 12$$ a. Commutative property of addition b. Associative property of multiplication c. Distributive property of multiplication over addition d. Commutative property of multiplication e. Associative property of addition f. Identity property of addition g. Identity property of multiplication h. Inverse property of addition i. Inverse property of multiplication

Match each expression with the appropriate property.
$$9(4 \cdot 12)=(9 \cdot 4) 12$$
a. Commutative property of addition
b. Associative property of multiplication
c. Distributive property of multiplication over addition
d. Commutative property of multiplication
e. Associative property of addition
f. Identity property of addition
g. Identity property of multiplication
h. Inverse property of addition
i. Inverse property of multiplication

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Key Concepts

Associative property of multiplication

This property states that the way factors are grouped in a multiplication operation can be changed without affecting the final product. In any multiplication involving three or more factors, the grouping indicated by parentheses can be rearranged, meaning that (a · b) · c is equal to a · (b · c). This allows for flexible computation and is directly illustrated by changing the grouping in the expression from 9(4 · 12) to (9 · 4)12.

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