Name the Property
7 (3 x 15) = (7 x 3) 15
Associative Property of Multiplication
Use the commutative property to write an equivalent expression:
2 + 7
7 + 2
Use the associative property to write an equivalent expression:
(3+7)+4
3+(7+4)
Use the distributive property to write an equivalent expression:
5 (3+2)
5 (3) + 5 (2)
or
15+10
or
25
Write this as an expression.
the product of 6 and y
6y
8 (5 +3)= 8 (3 + 5 )
Commutative Property of Addition
Use the commutative property to write an equivalent expression:
12 x 3
3 x 12
Use the associative property to write an equivalent expression:
5 (1x4)
(5x1) x4
Use the distributive property to write an equivalent expression:
6 ( 2 + 3 )
6(2) + 6(3)
or
12+18
or
30
Write this as an expression.
8 more than w
w + 8
7 (4 + 5)= 7(4) + 7(5)
Distributive Property
Which equation shows the commutative property of addition?
a. 8 + 9 = 9 + 8
b. 3(25) = 3(20)+ 3(5)
c. 18x3 = 3x18
d. 7+(3+2)= (7+3)+2
a. 8+9 = 9+8
Which equation shows the associative property of addition?
a. (7+9)+2 = 7+(9+2)
b. 1 + 8 = 2 + 7
c. 7 + 9 = 9 + 7
d. 1 + 0 = 1
a. (7+9)+2 = 7+(9+2)
Find the product using the distributive property:
2 (3+5)
2(3) + 2(5)
6 + 10 = 16
Write this as an expression.
the quotient of 30 and m
30/m
2+(13+6)= (2+13)+6
Associative Property of Addition
Which equation shows the commutative property of multiplication?
a. 6+2 = 2+6
b. 4+(2+8) = (4+2)+8
c. (12x9 )x2= 12x(9x2)
d. (3x4) x 10 = (4x3) x 10
d. (3x4) x 10 = (4x3) x 10
Which equation shows the associative property of multiplication?
a. 8+(2+3)=(8+2)+3
b. 4(2+5)= 4(2)+ 4(5)
c. (18x3)x7 = 18x(3x7)
d. 5+9 =9+5
c. (18x3)x7= 18x(3x7)
Find the product using the distributive property:
9(13-4a)
9(13)-9(4a)
117-36a
Write this as an expression.
4 less than the product of 8 and q
8q - 4
6(20r + 5) = 6(20r) + 6(5)
Distributive Property
Use the commutative property to determine if the equation below is equal or not equal:
13+(5x2) = 13+(2x5)
Equal
Use the associative property to determine if the equation below is equal or not equal:
(2+3a)+9a____ 2+(3a+9a)
Find the product using the distributive property:
2 (2b+8) +4b
2 (2b+8)= 2(2b)+2(8) + 4b
4b + 16 + 4b
8b + 16
Write this as an expression.
13 plus the quotient of x and 10
13 + x/10