Distributive Property of Multiplication

Front

What is the Distributive Property of Multiplication?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the products of that number and each addend. For example, a(b + c) = ab + ac.

Front

How can you use the Distributive Property to solve 8 x 7?

Back

You can break it down as (8 x 4) + (8 x 3) = 32 + 24 = 56.

Front

What is an array in multiplication?

Back

An array is a visual representation of multiplication, showing objects arranged in rows and columns. For example, 3 rows of 4 objects each represent 3 x 4.

Front

If 5 x 4 = 20, what is 5 x 2 + 5 x 2?

Back

5 x 2 + 5 x 2 = 10 + 10 = 20, demonstrating the Distributive Property.

Front

What does it mean to group numbers in multiplication?

Back

Grouping numbers means to separate them into smaller, easier-to-multiply parts. For example, 6 x 4 can be grouped as (6 x 2) + (6 x 2).

Front

How can you represent 9 x 4 using the Distributive Property?

Back

You can represent it as (9 x 2) + (9 x 2) = 18 + 18 = 36.

Front

What is the product of 7 x 5?

Back

The product of 7 x 5 is 35.

Front

If you know 4 x 5 = 20, how can you find 7 x 5?

Back

You can use the Distributive Property: 7 x 5 = (4 x 5) + (3 x 5) = 20 + 15 = 35.

Front

What is the result of 3 groups of 4 plus 2 groups of 4?

Back

3 groups of 4 plus 2 groups of 4 equals 20.

Front

How can you break down 6 x 8 using the Distributive Property?

Back

You can break it down as (6 x 4) + (6 x 4) = 24 + 24 = 48.