Distributive Property

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you apply the distributive property to the expression 5 x (2 + 3)?

Back

You can distribute 5 to both 2 and 3: 5 x (2 + 3) = (5 x 2) + (5 x 3) = 10 + 15 = 25.

Front

What is the result of using the distributive property on 5 x 18?

Back

The result is 90, as 5 x 18 can be calculated directly.

Front

If 17 x 8 = (7 x 8) + (_?_ x 8), what is the missing factor?

Back

The missing factor is 10, since 17 = 7 + 10.

Front

How can the distributive property be used to find the area of a rectangle?

Back

The area can be calculated by breaking it into smaller rectangles and using the distributive property to sum their areas.

Front

What expression represents the total area of a figure with dimensions 9 and 10, and 9 and 7?

Back

The expression is (9 x 10) + (9 x 7).

Front

How do you simplify the expression (5x2) + (5x5) using the distributive property?

Back

You can factor out the common term: (5x2) + (5x5) = 5(2 + 5) = 5 x 7 = 35.

Front

What is the equation that corresponds to an array of 4 rows and 7 columns?

Back

The equation is 4 x 7 = 28.

Front

What is an example of a real-world application of the distributive property?

Back

Calculating the total cost of multiple items where each item has a different price but the same quantity.

Front

How can you verify the result of a distributive property calculation?

Back

You can check your work by performing the multiplication directly and comparing the results.