Distributive Property

• The Distributive Property of Multiplication over Addition

• Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products

• 5 X (7 + 9) = (5 X 7) + (5 X 9)

Distributive Property

• This property can also be used over subtraction.

• 2 X ( 10 – 8) = (2 X 10) – (2 X 8)

Distributive Property

• Use the Distributive Property to find the product.

• 8 X 59 = 8 X ( + ) use a multiple of 10 + 9• = ( 8 X ) + ( 8 X )• = +• =

Distributive Property

• Another way is for subtraction.

• 8 X 59 = 8 X ( - 1) use a multiple of 10 • = ( X 60) – (8 X ) • = -- • =

Distributive Property

• Practice workbook page 67 . Complete together to show the distributive property in a grid to find the product.

Distributive Property

• Demonstrate the following expressions using the distributive property.

• 12 X 18 20 X 23

Distributive Property

• 30 X 33 2 X 59

Distributive Property

• Restate the expression using the distributive property.

• 6 X ( 9 + n ) when n is 30

Distributive Propery

• Restate

• 7 X ( n + 5) if n is 50

Distributive Property

• Solve using the distributive property.• 3 X 78

• 3 X ( + )• ( 3 X ) + ( 3 X )• +

Distributive Property

• Restate

• n X (8 + 60) if n is 3

Distributive Property

• Find the value of n.

• 7 + n = 4 + 32

• n + 19 = 22 + 14

Distributive Property

Complete on an index card and give to me.Solve the following using the Distributive

Property Tom drives 42 miles a day to commute to work.

When he drives 5 days, how many miles does he drive to work?