Associative
18 - (7 - 3)
(18 - 7) - 3
No, the expressions are not equivalent because the associative property does not apply to subtraction.
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
10 / 5 and 5 / 10
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
x(1) and 1(x)
yes; Commutative Property
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
23 + 15 and 15 + 23
yes; Commutative Property
What are the two operations used for the Associative?
addition and multiplication
Use the Associative Property to create an equivalent expression.
6 + (n+4)
(6 + n) + 4
Do the following expressions show the commutative property?
5+6(9+7)
9+6(5+7)
No, because there can only be one operation, either addition or multiplication. Not both.
Use the Distributive Property to rewrite the algebraic expression.
12(4+v)
48+12v
What is the definition for Associative?
the way the numbers are grouped does not affect the sum or product
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
8(1) and 8
yes; Identity Property
Give an example of the commutative property.
Answers will vary.
Find the product mentally. Show the steps you used.
8 x 3 3/4
8(3) + 8(3/4) = 30
Are the following expressions equivalent?
a+(b+c)
b+(c+a)
yes the following questions are equal
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
7 x (6 x t) and (7 x 6) x t
yes; Associative Property
What are the 2 operations used for Commutative?
addition and multiplication
Ticket $8.50
Popcorn $5.25
Soda $4.00
Candy $3.75
Nachos $6.50
Four friends each bought a ticket and a bag of popcorn. How much total money did they spend?
$55.00
Are the following expressions equivalent?
d+c(+m)
m+d(+c)
yes the order is different but does not affect the sum or product
Luzon has 8 fish, 3 cats, and 2 dogs. Write two equivalent expressions using the Associative Property that can be used to find the total number of pets.
(8+3)+2 and 8+(3+2)
Are the following questions equal?
5x12x8
8x5x12
yes
Find the product. Show the steps you used.
12 x 3/4
36/4 = 9