Exploring the Associative Property of Multiplication

What mathematical property is demonstrated by the problem 2 × (3 × 4) = (2 × 3) × 4?

• Identity Property

• Distributive Property

• Commutative Property

• Associative Property

Tags

CCSS.3.OA.B.5

How are the factors grouped on the left side of the problem?

• (2 × 3) × 4

• 2 × 3 × 4

• 2 × (3 × 4)

• (2 × 4) × 3

Tags

CCSS.3.OA.B.5

What is the result of simplifying 3 × 4 on the left side of the problem?

• 6

• 12

• 24

• 8

Tags

CCSS.3.OA.B.5

What is the final product on both sides of the problem?

• 24

• 36

• 18

• 12

Tags

CCSS.3.OA.B.5

What does the associative property of multiplication state about the grouping of factors?

• The grouping of factors changes the product.

• The grouping of factors does not change the product.

• The order of factors changes the product.

• The order of factors does not matter.

Tags

CCSS.3.OA.B.5

In general terms, how can the associative property of multiplication be written?

• a × b = b × a

• a × (b × c) = (a × b) × c

• a + (b + c) = (a + b) + c

• a × (b + c) = a × b + a × c

Tags

CCSS.3.OA.B.5

What do the variables a, b, and c represent in the general form of the associative property?

• Only whole numbers

• Only negative numbers

• Only positive numbers

• Any numbers

Tags

CCSS.7.NS.A.1D