Associative Property of Multiplication

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change the product. For example, (a x b) x c = a x (b x c).

Tags

CCSS.3.OA.B.5

Front

Calculate: 12 x (2 x 2) using the Associative Property.

Back

48

Tags

CCSS.3.OA.B.5

Front

Calculate: 4 x (2 x 5) using the Associative Property.

Back

40

Tags

CCSS.3.OA.B.5

Front

Calculate: 2 x (2 x 5) using the Associative Property.

Back

20

Tags

CCSS.3.OA.B.5

Front

Calculate: 3 x (2 x 4) using the Associative Property.

Back

24

Tags

CCSS.3.OA.B.5

Front

Calculate: (2 x 3) x 5 using the Associative Property.

Back

30

Tags

CCSS.3.OA.B.5

Front

If a = 2, b = 3, and c = 4, what is the value of (a x b) x c?

Back

24, since (2 x 3) x 4 = 6 x 4 = 24.

Tags

CCSS.3.OA.B.5

Front

If a = 5, b = 6, and c = 2, what is the value of a x (b x c)?

Back

60, since 5 x (6 x 2) = 5 x 12 = 60.

Tags

CCSS.3.OA.B.5

Front

What is an example of using the Associative Property in a real-world scenario?

Back

If you are multiplying the number of boxes (3) by the number of items in each box (4) and then by the number of boxes (2), you can group them as (3 x 4) x 2 or 3 x (4 x 2) and get the same total.

Tags

CCSS.3.OA.B.5

Front

How does the Associative Property differ from the Commutative Property?

Back

The Associative Property deals with grouping of numbers, while the Commutative Property deals with the order of numbers. For example, a x b = b x a (Commutative) vs (a x b) x c = a x (b x c) (Associative).

Tags

CCSS.3.OA.B.5