Properties of Operations

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

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 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 × b) × c = a × (b × c).

Tags

CCSS.3.OA.B.5

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, 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 changing the order of the factors does not change the product. For example, a × b = b × a.

Tags

CCSS.3.OA.B.5

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number a, there is a number -a such that a + (-a) = 0.

Tags

CCSS.1.OA.B.3

Front

What is the Inverse Property of Multiplication?

Back

The Inverse Property of Multiplication states that for every number a (except 0), there is a number 1/a such that a × (1/a) = 1.

Tags

CCSS.3.OA.B.5

Front

Give an example of the Distributive Property.

Back

Example: 3(4 + 5) = 3 × 4 + 3 × 5, which simplifies to 27.

Tags

CCSS.3.OA.B.5

Front

Give an example of the Associative Property of Addition.

Back

Example: (2 + 3) + 4 = 2 + (3 + 4), both equal 9.

Tags

CCSS.1.OA.B.3

Front

Give an example of the Commutative Property of Addition.

Back

Example: 7 + 2 = 2 + 7, both equal 9.

Tags

CCSS.1.OA.B.3