Download The Distributive Property

Warm-up
1.) 0.5805
0.025
2.) 69.7055 ­ 63.64 = 3.) Name the property or properties used:
3 7 + 5 9 = 9 5 + 3 7
Solve the following:
1.) (3 4) + (3 6) = 2.) 3(4 + 6) = 1
Distributive Property
Essential Skill: Explicitly assess information and draw conclusions
The Distributive Property
:
Distributive Property of Multiplication over Addition
Multiplication
Ex. 3(2+6) Addition
You can distribute a factor to each term inside a set of parentheses.
Ex. 3(2+6) = (3 2) +(3 6)
1.) a(b + c) = 2.) 4(x + y) =
3.) q(3 + w)
2
Distributive Property of Multiplication over Subtraction:
Multiplication
Ex. 4(6­2) subtraction
You can distribute a factor to each term inside a set of parentheses.
4(6­2) = (4 6)­ (4 2) 1.) a(b – c) = 2.) 4(3 – (­5)) =
3.) q(3 – 5)
Evaluate using the Distributive Property:
1.) 10(4 + 3) =
2.) 9(5 – 2) =
3.) 7(d + 6) =
4.) ­4(2r +5) = 5.) (3 – y)(­8) = 3
State the number or variable that has been distributed. Rewrite using the distributive Property.
6.) (8 3) + (8 7) =
7.) a b + 3 b =
8.) (6 3) +(6 (­2))
Identify whether you would use the associative or distributive property.
Distributive
Associative
6(4b)
­x(­8x)
6(4 + b)
x(x ­ 16)
n(­m ­ ­p)
(h + ­2)(­8)
(­4 + s)5
(8z)21
x(yz)
4
Can you use the distributive property here?
­(3 + x)
5