Associative and Commutative & Distributive Property

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 their sum. For example, 5 + (8 + 14) = (5 + 8) + 14.

Tags

CCSS.1.OA.B.3

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not affect the result. For example, a + b = b + a.

Tags

CCSS.1.OA.B.3

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

How do you apply the Distributive Property to 2(c - 8)?

Back

Using the Distributive Property, 2(c - 8) becomes 2c - 16.

Tags

CCSS.6.EE.A.3

Front

How do you apply the Distributive Property to 4(p - 6)?

Back

Using the Distributive Property, 4(p - 6) becomes 4p - 24.

Tags

CCSS.6.EE.A.3

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 their product. For example, 9 x (3 x 2) = (9 x 3) x 2.

Tags

CCSS.3.OA.B.5

Front

Can you give an example of the Commutative Property in multiplication?

Back

Yes, an example of the Commutative Property in multiplication is 4 x 5 = 5 x 4.

Tags

CCSS.3.OA.B.5

Front

What is the difference between the Associative and Commutative Properties?

Back

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

Tags

CCSS.1.OA.B.3

Front

How can you identify the Associative Property in an equation?

Back

You can identify the Associative Property in an equation by looking for a grouping of numbers that can be rearranged without changing the result, such as (a + b) + c = a + (b + c).

Tags

CCSS.7.NS.A.1D

Front

What is an example of the Distributive Property in action?

Back

An example of the Distributive Property is 3(2 + 4) = 3*2 + 3*4, which simplifies to 6 + 12 = 18.

Tags

CCSS.3.OA.B.5