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© 2007 M. Tallman
125× =60
5
12
© 2007 M. Tallman
(5 × 4)
85 × =40 45 × =20
5 × 12=(5 × 8)+
125× =60
© 2007 M. Tallman
144× =56
4
14
© 2007 M. Tallman
144× =56
104 × =40 44 × =16
(4 × 4)4 × 14=(4 × 10)+
© 2007 M. Tallman
) + )3 × 26 =
263× =78
(3×20 3×6(
© 2007 M. Tallman
) - )4 × 18 =
184× = 72
(4×20 4×2(
© 2007 M. Tallman
) - )3 × 27 =
273× =81
(3×30 3×3(
VocabularyDistributive 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!
536 × 536 ×
(50 + 3)
Distributive Property of Multiplication over Addition.
6 ×
53
(50 + 3)
(50 + 3)6 ×
Distributive Property of Multiplication over Addition.
6 × 3 = 18 318
+6 × 50 = 300
6 × 53= 318
3 × 82
823 ×
(80 + 2)
(80 + 2)
3 ×
82
Distributive Property of Multiplication over Addition.
(80 + 2)3 ×
3 × 2 = 6 246
+3 × 80 = 240
3 × 82= 246
Distributive Property of Multiplication over Addition.
VocabularyDistributive 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!
7 ×7 × 87
87
(90 - 3)
(90 - 3)
Distributive Property of Multiplication over Subtraction.
7 ×
87
7 × 3 = 21 609
-7 × 90 = 630
7 × 87= 609
(90 - 3)7 ×
Distributive Property of Multiplication over Subtraction.
8 × 668 ×66
(70 - 4)
(70 - 4)
Distributive Property of Multiplication over Subtraction.
8 ×
66
8 × 4 = 32 528
-8 × 70 = 560
8 × 66= 528
(70 - 4)8 ×
Distributive Property of Multiplication over Subtraction.
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)
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.
© 2007 M. Tallman
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
Use the distributive property to solve.
© 2007 M. Tallman
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)
Use the distributive property to solve.
© 2007 M. Tallman
What is the value of n in this equation: 6 × 19 = (6 × 20) - (6 × n)?
a. 2
b. 3
c. 1
d. 5
Use the distributive property to solve.
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