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)
Free Space
100 pts.
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)
Property which defines the rules for the ORDER of numbers when multiplying or adding:
Commutative Property
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
Property which defines a rule for multiplying a number by a sum:
Distributive Property
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)
9(13)= 9(10)+ 9(3)
90+27= 117
Property which defines a rule for the GROUPING of numbers when adding or multiplying:
Associative Property
6(20)+ 6(3)= 6(23)
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+3)+9____ 2(3+2)
Not equal
Find the product using the distributive property:
2 (2+8)
2 (2+8)= 2(2)+2(8)
4+16 = 20
Associative Property only applies to __________ and ____________
Addition and Multiplication