Distributive Property of Multiplication

Front

What is the distributive property of multiplication?

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

What is the distributive property for 6 x 45?

Back

(6 x 40) + (6 x 5)

Front

What is the distributive property for 73 x 8?

Back

(70 x 8) + (3 x 8)

Front

What are partial products?

Back

Partial products are the results of multiplying each digit of one number by each digit of another number, then adding those results together.

Front

What are the partial products for 13 x 8?

Back

80 + 24

Front

What are the partial products for 18 x 2?

Back

20 + 16

Front

What are the partial products for 841 x 3?

Back

2,400 + 120 + 3

Front

How do you use the distributive property to simplify 9 x 26?

Back

9 x (20 + 6) = (9 x 20) + (9 x 6) = 180 + 54 = 234.

Front

What is an example of using the distributive property with 5 x 32?

Back

5 x (30 + 2) = (5 x 30) + (5 x 2) = 150 + 10 = 160.

Front

What is the result of 4 x (10 + 5)?

Back

4 x (10 + 5) = (4 x 10) + (4 x 5) = 40 + 20 = 60.