1.1 Powers and Exponents
Write the product as a power:
7 x 7 x 7 x 7
74
The order in which to perform operations when evaluating expressions with more than one operation
Order of Operations (PEMDAS)
A diagram that helps you find the factors of a number
Factor Tree
The greatest of the factors shared by two or more numbers
Greatest Common Factor (GCF)
The least of the multiples that are shared by two or more numbers.
Least Common Multiple (LCM)
Indicates the number of times the base is used as a factor.
Exponent
What does the "E"stand for in PEMDAS
Exponents
Tell whether this number is Prime or Composite:
13
Prime
Find the GCF of 12 & 56
4
Find the LCM of 15 and 9
45
Evaluate: 43
64
Evaluate the expression: 12 - 2 x 4
4
Write the prime factorization for the following number:
48
24 x 3
Find the GCF of 40 & 48
8
Find the LCM of 6 & 8
24
Find the value of the power: 53
125
Evaluate: 3(5 + 1) / 32
2
Find the number represented by the prime factorization:
2 x 32 x 52
450
You fill bags with cookies to give your friends. You bake 45 chocolate chip cookies, 30 peanut butter cookies, and 15 oatmeal cookies. You want identical groups of cookies in each bag with no cookies left over. What is the greatest number of bags you can make?
15 Bags
A geyser erupts every fourth day. Another geyser erupts every sixth day. Today both geysers erupted. In how many days will both geysers erupt on the same day again?
12 Days
A life-size chess board is a square with a side length of 8 yards. What is the area of the chess board?
82 = 64yd2
A square plot of land has side lengths of 40 meters. An archeologist divides the land into 64 equal parts. What is the area of each part?
25m2
You arrange 24 cookies for display in a bakery. You want each row to have the same number of cookies. How many possible arrangements are there?
8 possible arrangements
1 row of 24
2 rows of 12
3 rows of 8
4 rows of 6
6 rows of 4
8 rows of 3
12 rows of 2
24 rows of 1
You use 30 sandwiches and 42 granola bars to make identical picnic baskets. You make the greatest number of picnic baskets with no food left over. How many sandwiches and how many granola bars are in each basket?
GCF: 6
5 sandwiches and 7 granola bars
A water park has two large buckets that slowly fill with water. One bucket dumps water every 12 minutes. The other bucket dumps water every 10 minutes. Five minutes ago, both buckets dumped water. When will both buckets dump water at the same time again?
55 Minutes