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 over each addend.

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 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

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 x b = b x a.

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, a x 1 = a.

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 in addition does not change the sum. For example, (a + b) + c = a + (b + c).

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, a + b = b + a.

Tags

CCSS.1.OA.B.3

Front

What is the Identity Property of Addition?

Back

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

Tags

CCSS.1.OA.B.3

Front

What is the Distributive Property in an equation?

Back

In an equation, the Distributive Property can be used to simplify expressions, such as 3(w + 4) = 3w + 12.

Tags

CCSS.6.EE.A.3

Front

Provide an example of the Associative Property of Addition.

Back

An example is: 4 + (3 + 2) = (4 + 3) + 2.

Tags

CCSS.1.OA.B.3

Front

Provide an example of the Commutative Property of Multiplication.

Back

An example is: 6 x 4 = 4 x 6.

Tags

CCSS.3.OA.B.5