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 0 answersPost by Mark Andrews on August 17, 2013Properties of numbers seemed very juvenile but it really warmed up my brain and the Distributive Properties was actually fun and easy to do.  Both very good lessons and I enjoyed firing my mental calculation skills.  It is far quicker to use those skills in your head than to waste time using a calculator. I am really enjoying this site.

### Distributive Property

• When a sum or difference inside parentheses is multiplied by a number outside the parentheses, you can multiply each number inside the parentheses by the number outside, then add or subtract as indicated.
• The Distributive Property is different from other properties is that it always involves two operations and parentheses.
• You use the Distributive Property to evaluate expressions that have a number multiplied by a sum or differences and can be written and used in several different forms.

### Distributive Property

Use the distribute property to solve 3(8 + 5).
• 3(8 + 5) =
• (3 ×8) + (3 ×5) =
• 24 + 15 =
39
Use the distributive property to solve 7(20 - 7).
• 7(20 − 7) =
• (7 ×20) − (7 ×7) =
• 140 − 49 =
91
18(2 - n) =
• (18 ×2) − (18 ×n) =
36 − 18n
9(10 + x) =
• (9 ×10) + (9 ×x) =
90 + 9x
7(a + b) =
• (7 ×a) + (7 ×b) =
7a + 7b
(9 + y - z)10 =
• (10 ×9) + (10 ×y) − (10 ×z) =
90 + 10y − 10z
8(2a - 7b + 5c + 3d)
• (8 ×2a) − (8 ×7b) + (8 ×5c) + (8 ×3d) =
16a − 56b + 40c + 24d
Leslie makes \$ 45 an hour and works 8 hours a day. How much money does Leslie make in one day?
• 8(\$ 45) =
• 8(\$ 40 + \$ 5) =
• (8 ×\$ 40) + (8 ×\$ 5) =
• \$ 320 + \$ 40 =
\$ 360
Your auditorium has 58 rows of seats and 20 columns of seats. How many seats are there in your auditorium?
• (58)20 =
• (50 + 8)20 =
• (50 ×20) + (8 ×20) =
• 1,000 + 160 =
1,160 seats
A bride buys a purse for each of her 5 bridesmaids. Each purse costs \$ 20.60. How much did the bride spend on the purses total?
• 5(\$ 20.60) =
• 5(\$ 20.00 + \$ 0.60) =
• (5 ×\$ 20.00) + (5 ×\$ 0.60) =
• \$ 100 + \$ 3 =
\$ 103

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

### Distributive Property

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• What You'll Learn and Why 0:05
• Topics Overview
• Vocabulary 0:15
• Distributive Property
• Using the Distributive Property 1:32
• Example: 8 ( 9 + 11 )
• Using the Distributive Property 2:58
• Example: 7 ( 12 - h )
• Example: ( m + 2 ) 5
• Distributive Property in Mental Math 3:34
• Example: Finding Total Cost
• Extra Example 1: Summer Job 4:55
• Extra Example 2: Total Cost 6:03
• Extra Example 3: Fundraiser 7:36
• Extra Example 4: Tomato Plants 8:24