Exponents
Solve
5^3
125
6 + 6 + 6 + 6
represents ____ groups of ____
4 groups of 6
Give an example of the commutative property
Answers will vary. Example:
1 + 2 = 2 + 1
Give an example of the identity property of addition
Answers will vary. Example:
5 + 0 = 5
What does PEMDAS stand for?
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Rewrite in exponential form
6 x 6 x 6 x 6
6^4
Rewrite as multiplication
5 + 5 + 5 + 5 + 5 + 5
6 groups of 5
or
6 x 5
Use the commutative property to rewrite:
4 x 7 = ______
7 x 4
Give an example of the identity property of multiplication
Answers will vary. Example:
4 x 1 = 4
What operation would come first in
7 - 4 + 8
Subtraction
7-4
Expand
b^7
b ⋅ b ⋅ b ⋅ b ⋅ b ⋅ b ⋅ b
Write as addition
3 x 9
Use the commutative property to rewrite:
5 ⋅ m
m ⋅ 5
What is the identity in
6 + 4 - 4 = 6
+ 4 - 4
because it equals 0
7 x 2 - (5+1)
8
Write in exponential form
a ⋅ a ⋅ a ⋅ b ⋅ b ⋅ c ⋅ c ⋅ c ⋅ c
a^3 ⋅ b^2 ⋅ c^4
Write as multiplication
n + n + n + n + n
5n
Use the commutative property to rewrite:
a ⋅ b
b ⋅ a
What is the identity in
a ⋅ b / b = a
⋅ b / b
because it equals 1
Solve. Show your work!
(6x3) + ((5+1) / (2+1))
20
Explain or show why (1/5) ^ 3 = 1/125
Because
1^3= 1
5^3 = 125
Write an equivalent expression
4h + 3m
h + h + h + h + m + m + m
Why isn't there a commutative property for division or subtraction?
If you reverse subtraction, you will get a negative number and if you reverse division, you will get a fraction or decimal
5 - __ + ___ = 5
Answers will vary. Numbers must be opposites
Solve
45 / (2+7) + 5 ^3 - (4+1)
125