Transcript Distributive Property

5 × 12 = 60
5
12
© 2007 M. Tallman
5 × 12 = 60
5 × 8 = 40
5 × 4 = 20
5 × 12 = (5 × 8) + (5 × 4)
© 2007 M. Tallman
4 × 14 = 56
4
14
© 2007 M. Tallman
4 × 14 = 56
4 × 10 = 40
4 × 4 = 16
4 × 14 = (4 × 10) + (4 × 4)
© 2007 M. Tallman
3 × 26 = 78
3 × 26
=
© 2007 M. Tallman
(3 × 20) + (3 × 6)
4 × 18 = 72
4 × 18
=
© 2007 M. Tallman
(4 × 20) - (4 × 2)
3 × 27 = 81
3 × 27
=
© 2007 M. Tallman
(3 × 30) - (3 × 3)
Vocabulary
Distributive Property (over addition)states that to multiply a sum by a number,
you can multiply each addend by the
number, and then add those products
together.
“The Bottom Line”: The distributive
property can make finding products
easier!
Distributive Property of
Multiplication over Addition.
6 × 53
6 × (50
53 + 3)
(50 + 3)
Distributive Property of
Multiplication over Addition.
6 × 53 = 318
6 × (50 + 3)
6 × 50 = 300
6 × 3 = + 18
318
Distributive Property of
Multiplication over Addition.
3 × 82
3 × (80
82 + 2)
(80 + 2)
Distributive Property of
Multiplication over Addition.
3 × 82 = 246
3 × (80 + 2)
3 × 80 = 240
3 × 2 =+ 6
246
Vocabulary
Distributive Property (over subtraction)states that to multiply a difference of
two numbers by a third number, you can
multiply the first two numbers by the
third, and then find the difference of the
products.
“The Bottom Line”: The distributive
property can make finding products
easier!
Distributive Property of
Multiplication over Subtraction.
7 × 87
(90 - 3)
7 × 87
(90 - 3)
Distributive Property of
Multiplication over Subtraction.
7 × 87 = 609
7 × (90 - 3)
7 × 90 = 630
7 × 3 = - 21
609
Distributive Property of
Multiplication over Subtraction.
8 × 66
(70 - 4)
8 × 66
(70 - 4)
Distributive Property of
Multiplication over Subtraction.
8 × 66 = 528
8 × (70 - 4)
8 × 70 = 560
8 × 4 = - 32
528
Using Distributive Property
6 × 47
(6 × 40) + (6 × 7)
5 × 93
(5 × 100) - (5 × 7)
9 × 86
(9 × 90) - (9 × 4)
8 × 145
(8 × 100) + (8 × 40) + (8 × 5)
Use the distributive property to solve.
Which expression has the same value
as 13 × 8?
a. (13 × 6) + (13 × 2)
b. (13 × 6) × (13 × 2)
c. (13 + 6) × (13 + 2)
d. 13 × (6 × 2)
Use the distributive property to solve.
Which equation is an example of the
distributive property?
a. 6 × 1 = 6
b. 6 × (3 × 4) = (6 × 3) × 4
c. 6 × 7 = 7 × 6
d. 6 × (3 + 4) = (6 × 3) + (6 × 4)
Use the distributive property to solve.
What is the value of n in this equation:
4 × 17 = (4 × 10) + (4 × n)?
a. 8
b. 3
c. 7
d. 6
Use the distributive property to solve.
Which equation is an example of the
distributive property?
a. 8 × 195 = (8 × 200) - (8 × 5)
b. 132 × 8 = 8 × 132
c. 8 × (100 × 32) = (8 × 100) × 32
d. 132 × 1 = 1 × 132
© 2007 M. Tallman
Use the distributive property to solve.
Which expression has the same value
as 7 × 27?
a. (7 × 27) + (7 × 20)
b. (7 × 30) - (7 × 3)
c. (7 + 30) + (7 + 3)
d. 7 + (20 × 7)
© 2007 M. Tallman
Use the distributive property to solve.
What is the value of n in this equation:
6 × 19 = (6 × 20) - (6 × n)?
a. 2
b. 3
c. 1
d. 5
© 2007 M. Tallman