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

What is the significance of the associative property in multiplication?

Back

The associative property allows for grouping of factors, which can simplify calculations and make mental math easier.

Tags

CCSS.3.OA.B.5

Front

What is the significance of the distributive property in multiplication?

Back

The distributive property is useful for simplifying expressions and solving equations, especially when dealing with variables.

Tags

CCSS.3.OA.B.5

Front

How can the commutative property be applied in real-life situations?

Back

In real-life situations, the commutative property can be applied in scenarios like calculating total costs where the order of items does not affect the total.

Tags

CCSS.1.OA.B.3