The Distributive Property

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Monday, Feb. 3
1. Homework- pink sheet and
Blizzard Bags
2. Download lesson
2–3 Distributive Property
under Unit 4 Expressions
The Distributive Property
Ex: Yesterday Steve bought 5 DVD's at the store. DVD's
cost $8 each. Today he bought 7 more. How much money
did he spend on DVD's?
Which method did you use?
5x8 + 7x8
or
8 x (5 + 7)
Will you get the same answer?
Pull
The Distributive Property
Ex: Yesterday Steve bought 5 DVD's at the store. DVD's
cost $8 each. Today he bought 7 more. How can much
money did he spend on DVD's?
8x5 + 8x7
40 + 56
$96
or
8 x (5 + 7)
8 x (12)
$96
The Distributive Property
Ex: The school cafeteria sells an average of 30 apples and
20 banana's everyday. How many total pieces of fruit do
they sell in one week (five days)?
5 x 30 + 5 x 20
150 + 100
250
pieces of friut
or
5 x (30 + 20)
5 x (50)
250
pieces of friut
Pull
The Distributive Property
The Distributive Property is used to
multiply a single term and two or more terms
inside a set of parentheses.
a(b + c) = a b + a c
Example:
6(2 + 4x)
Be
pro
thro
Pull
Try These on Your Own!
Use the Distributive Property.
7(y + 3)
7y + 21
8(m - 1)
8m - 8
5(4x - 5)
20x - 25
-9(4 + 2n)
-36 - 18n
Let's Try These Together!
Use the Distributive Property.
1. 2(x + 3)
3. 8(2 + 3w)
2. 5(n - 7)
*4. -6(a + 4)
Distributive Property
There are two different ways we can show how items are
distributed using mathematical expressions. Both ways will
give the same result in the end - they will be equal.
Ex:
If there are 4 students and each brought 2
folders and one notebook to class. We can find
how many supplies they brought two different
ways.
4 X (2 + 1)
students
folders
and
notebooks
or
(4 X 2) + (4 X 1)
students' folders
students' notebooks
The distributive property says that 4 X (2+1) = (4X2) + (4X1)
#1
Distributive Property
There are four children. Each has 2 blue
pens and 3 black pens. How many pens is that
altogether? Use distributive property to
solve.
#2
Distributive property
There are 6 skateboarders. Each has one
helmet and 4 pads. Use distributive
property to solve.
#3
Distributive Property
The ballet class is leaving for the recital.
Each of the 10 girls has 3 costumes and 2
shoes. Use distributive property to solve.
#4
Distributive Property
There are three tables. Each table has 6
bowls of snacks and 5 bottles of lemonade.
Use distributive property to solve.
#5
Distributive Property
There are 5 tables and each one has 4
chairs around it. There are also 2 stools at
each table. Use distributive property to
solve.
#7
Distributive Property
There are 6 picnic baskets. Each basket
contains 4 sandwiches and 8 pieces of fruit.
Use distributive property to solve.
#8
Distributive Property
There are 7 girls at the sleepover . Each
brought 3 stuffed animals and 2 board games.
Use distributive property to solve.
You can use the distributive property to help you multiply faster.
You can use the distributive property to help you multiply faster.
Ex. 17 x 6 Think instead 10 x 6 + 7 x 6 Ex. 17 x 6 Think instead 10 x 6 + 7 x 6 60
60
42
42
102
102
Try these:
a) 7 x 23 b) 6 x 14 c) 8 x 31
#6
Distributive Property
There are 7 goldfish and 6 guppies in each
fishtank. There are 8 fishtanks. Use
distributive property to solve.
Download