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 simplify (5 x 4) + (5 x 2)?

Back

You can factor out the common factor: 5 x (4 + 2) = 5 x 6 = 30.

Front

What does it mean to factor in multiplication?

Back

Factoring means to break down a number into its multiplicative components. For example, 12 can be factored into 3 x 4.

Front

If you have (3 x 5) + (3 x 2), how can you use the Distributive Property?

Back

You can factor out the 3: 3 x (5 + 2) = 3 x 7 = 21.

Front

What is an example of using the Distributive Property with numbers?

Back

For example, 6 x (2 + 3) = 6 x 2 + 6 x 3 = 12 + 18 = 30.

Front

How can you represent (5 x 4) + (3 x 4) using the Distributive Property?

Back

You can factor out the 4: (5 + 3) x 4 = 8 x 4 = 32.

Front

What is the result of (4 x 5) + (4 x 1) using the Distributive Property?

Back

You can factor out the 4: 4 x (5 + 1) = 4 x 6 = 24.

Front

How do you apply the Distributive Property to (5 x 4) + (5 x 1)?

Back

Factor out the 5: 5 x (4 + 1) = 5 x 5 = 25.

Front

What is the outcome of (4 x 5) + (4 x 2) using the Distributive Property?

Back

You can factor out the 4: 4 x (5 + 2) = 4 x 7 = 28.

Front

If you have (5 x 4) + (5 x 4), what can you do?

Back

You can combine like terms: 2 x (5 x 4) = 10 x 4 = 40.