Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you apply the Distributive Property to break apart a multiplication problem?

Back

You can break apart a multiplication problem by expressing one of the factors as a sum, then distributing the other factor across each term in the sum.

Front

Break apart the expression 5 x 12 using the Distributive Property.

Back

(5 x 10) + (5 x 2) = 50 + 10 = 60.

Front

What is the result of applying the Distributive Property to 3 x (4 + 5)?

Back

3 x (4 + 5) = (3 x 4) + (3 x 5) = 12 + 15 = 27.

Front

If 8 x 7 = (8 x 4) + (8 x _?), what is the missing factor?

Back

3, because 8 x 7 = (8 x 4) + (8 x 3).

Front

How can you express 9 x 15 using the Distributive Property?

Back

(9 x 10) + (9 x 5) = 90 + 45 = 135.

Front

What is the missing factor in the equation 12 x 5 = (12 x 2) + (12 x _?)?

Back

3, because 12 x 5 = (12 x 2) + (12 x 3).

Front

How do you find the missing factor in a Distributive Property equation?

Back

You can isolate the missing factor by rearranging the equation and solving for it.

Front

What is the significance of the Distributive Property in mathematics?

Back

The Distributive Property is significant because it allows for easier computation and simplification of expressions.

Front

Can the Distributive Property be used with variables?

Back

Yes, the Distributive Property can be applied to expressions with variables, such as a(b + c) = ab + ac.