Order of Operations
What is the correct order of operations?
Parentheses
Exponents
Multiplication/Division from left to right
Addition/Subtraction from left to right
1*100
2*50
4*25
5*20
10*10
8,16,24,32,40,48,56,64,72,80.
A group of 20 friends plays a card game. The game can be played with 2 or more teams of equal size. Each team must have at least 2 members. List the possible numbers and sizes of teams.
2 teams of 10.
4 groups of 5.
5 groups of 4.
10 groups of 2.
What does it mean when a number is squared?
3*6+8^2
82
Whats is the greatest common factor of 15 and 25?
5
What is the LCM of 4 and 12?
12
You arrange 150 chairs in rows for a school play. You want each row to have the same number of chairs. How many possible arrangements are there? Are all of the possible arrangements appropriate for the play? Explain.
2 rows of 75
3 rows of 50
5 rows of 30
6 rows of 25
10 rows of 15
Any combos reversed.
Write the power of
5*5*5*5
5^4
(6+2^2)*10
100
Using a factor tree find the GCF of 24 and 30.
6
Prime factorization for 24: 2*2*2*3
Prime factorization for 30: 2*3*5
Common factors are 2 and 3.
Using a factor tree find the LCM of 16 and 24.
48
Prime factorization of 16: 2*2*2*2
Prime factorization of 24:2*2*2*3
LCM=2*2*2*2*3
A science museum makes gift bags for students using 168 magnets, 48 robot figurines, and 24 packs of freeze-dried ice cream. What is the largest number of gift bags that can be made using all of the items if all the bags are identical? How many of each item are in each gift bag?
24 gift bags
7 magnets
2 robot figures
1 pack of ice cream
Write in final form:
2*2*3*3*5*11*11*11
2^2*3^2*5*11^3
7+2^2*6+2^2-6
29
What is the GCF of 144 and 132?
12
What is the LCM of 15, 25, 30?
150
15: 3*5
25: 5*5
30: 2*3*5
LCM = 2*3*5*5
A competition awards prizes for fourth, third, second, and first place. The fourth place winner receives $5. Each place above that receives a prize that is five times the amount of the previous prize. Write the first prize as a power. How much prize money is awarded in total?
5*5*5*5=$625
1st place :$625
2nd place: $125
3rd place: $25
4th place: $5
Total: 5+25+125+625=$780
If I have a square patio made up of 196 tiles. How many tiles are in each row and how many rows are there?
14 rows and 14 tiles in each row.
((5+4^2)+2^2)/(5*1^4)
5
6
Find the LCM of 48, 6, and 24.
48
48: 2*2*2*2*3
6:2*3
24: 2*2*2*3
LCM=2*2*2*2*3
A movie theater gives away $15 to every 15th visitor, $25 to every 25th visitor, and a free ticket to every 100th visitor. When will the movie theater first give away all three prizes to one visitor? When this happens, how much money and how many tickets are given away?
LCM of 15, 25, and 100.
The 300th customer will get all 3 prizes. By the 300th customer $600 dollars and 3 movie tickets have been given away.
What is the largest perfect square that is a factor of 300.
100