MA.3.AR.1.1 Distributive Property and 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.

Front

How do you use the Distributive Property with 5 x 29?

Back

You can break it down as (5 x 20) + (5 x 9) = 100 + 45 = 145.

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped does not change their product. For example, (2 x 4) x 6 = 2 x (4 x 6).

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not change their product. For example, 3 x 4 = 4 x 3.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property states that any number multiplied by 1 remains the same. For example, 7 x 1 = 7.

Front

Calculate 3 times 45 using the Distributive Property.

Back

3 x 45 can be calculated as (3 x 40) + (3 x 5) = 120 + 15 = 135.

Front

Calculate 7 x 63 using the Distributive Property.

Back

7 x 63 can be calculated as (7 x 60) + (7 x 3) = 420 + 21 = 441.

Front

Calculate 6 x 84 using the Distributive Property.

Back

6 x 84 can be calculated as (6 x 80) + (6 x 4) = 480 + 24 = 504.

Front

What is the result of (2 x 4) x 6?

Back

The result is 48, and it shows the Associative Property.

Front

What is the result of 5 x 29 using the Distributive Property?

Back

The result is 145, calculated as (5 x 20) + (5 x 9).