Properties of Addition and Multiplication

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped when adding does not change the sum. For example, (a + b) + c = a + (b + c).

Tags

CCSS.1.OA.B.3

Front

What is the Associative Property of Multiplication?

Back

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

Tags

CCSS.3.OA.B.5

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that the order in which two numbers are added does not change the sum. For example, a + b = b + a.

Tags

CCSS.1.OA.B.3

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change the product. For example, a x b = b x a.

Tags

CCSS.3.OA.B.5

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

Tags

CCSS.3.OA.B.5

Front

What is the Addition Property of Zero?

Back

The Addition Property of Zero states that adding zero to any number does not change the value of that number. For example, a + 0 = a.

Tags

CCSS.7.EE.A.1

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What is the Multiplication Property of One?

Back

The Multiplication Property of One states that multiplying any number by one does not change the value of that number. For example, a x 1 = a.

Tags

CCSS.3.OA.B.5

Front

Example of Associative Property of Addition: (3 + 4) + 5 = ?

Back

(3 + 4) + 5 = 3 + (4 + 5) = 12.

Tags

CCSS.1.OA.B.3

Front

Example of Associative Property of Multiplication: (2 x 3) x 4 = ?

Back

(2 x 3) x 4 = 2 x (3 x 4) = 24.

Tags

CCSS.3.OA.B.5

Front

Example of Commutative Property of Addition: 7 + 2 = ?

Back

7 + 2 = 2 + 7 = 9.

Tags

CCSS.1.OA.B.3