Multiplication Properties: Commutative Associative Distributive

Front

What is the commutative property of multiplication?

Back

The commutative property 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 associative property of multiplication?

Back

The associative property states that the way in which factors are grouped does not change the product. For example, (a × b) × c = a × (b × c).

Tags

CCSS.3.OA.B.5

Front

What is the distributive property of multiplication?

Back

The distributive property states that multiplying a number by a sum is the same as multiplying each addend by the number and then adding the products. For example, a × (b + c) = a × b + a × c.

Tags

CCSS.3.OA.B.5

Front

Provide an example of the commutative property using numbers.

Back

For example, 3 × 4 = 12 and 4 × 3 = 12.

Tags

CCSS.3.OA.B.5

Front

Provide an example of the associative property using numbers.

Back

For example, (2 × 3) × 4 = 6 × 4 = 24 and 2 × (3 × 4) = 2 × 12 = 24.

Tags

CCSS.3.OA.B.5

Front

Provide an example of the distributive property using numbers.

Back

For example, 2 × (3 + 4) = 2 × 7 = 14 and 2 × 3 + 2 × 4 = 6 + 8 = 14.

Tags

CCSS.3.OA.B.5

Front

What is the significance of the commutative property in multiplication?

Back

The commutative property allows for flexibility in computation, making it easier to rearrange factors for simpler calculations.

Tags

CCSS.3.OA.B.5

Front

How does the associative property help in solving multiplication problems?

Back

The associative property allows for regrouping of factors, which can simplify calculations, especially when dealing with multiple factors.

Tags

CCSS.5.NBT.B.7

Front

Can the distributive property be used with subtraction?

Back

Yes, the distributive property can also be applied to subtraction. For example, a × (b - c) = a × b - a × c.

Tags

CCSS.3.OA.B.5

Front

What is a real-world application of the distributive property?

Back

A real-world application of the distributive property is in calculating total costs, such as finding the total price of multiple items with different prices.

Tags

CCSS.7.NS.A.2C