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.

Tags

CCSS.3.OA.B.5

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.

Tags

CCSS.3.OA.B.5

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.

Tags

CCSS.3.OA.B.5

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.

Tags

CCSS.3.OA.B.5

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.

Tags

CCSS.3.MD.C.7D

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).

Tags

CCSS.6.NS.B.4

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.

Tags

CCSS.6.NS.B.4

Front

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

Back

The equation is 4 x 7 = 28.

Tags

CCSS.3.OA.A.1

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.

Tags

CCSS.7.NS.A.2C

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.

Tags

CCSS.6.NS.B.4