Properties of Operations

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 5 x 6 = 6 x 5.

Tags

CCSS.3.OA.B.5

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which factors are grouped does not change the product. For example, 7(8 x 9) = 9(8 x 7).

Tags

CCSS.3.OA.B.5

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change the sum. For example, (1 + 2) + 3 = 1 + (2 + 3).

Tags

CCSS.1.OA.B.3

Front

What is the Distributive Property?

Back

The Distributive Property states that multiplying a number by a sum is the same as multiplying that number by each addend and then adding the products. For example, 6(5 - 4) = 6(5) - 6(4).

Tags

CCSS.3.OA.B.5

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, 56 x 1 = 56.

Tags

CCSS.3.OA.B.5

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that any number plus 0 remains unchanged. For example, 7 + 0 = 7.

Tags

CCSS.1.OA.B.3

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 3 + 5 = 5 + 3.

Tags

CCSS.1.OA.B.3

Front

How does the Distributive Property apply to subtraction?

Back

The Distributive Property can also apply to subtraction, as in a(b - c) = ab - ac.

Tags

CCSS.6.EE.A.3

Front

What is an example of the Associative Property in real life?

Back

An example of the Associative Property in real life is when grouping items for a party: (2 pizzas + 3 sodas) + 4 desserts = 2 pizzas + (3 sodas + 4 desserts).

Tags

CCSS.1.OA.B.3

Front

What is the difference between the Commutative and Associative Properties?

Back

The Commutative Property deals with the order of numbers, while the Associative Property deals with the grouping of numbers.

Tags

CCSS.1.OA.B.3