Order of Operations (PEMDAS)

Show your work for each problem.

1.
What is ?
1. a)13
2. b)16
3. c)10
4. d)11
Answer: 11
First, do multiplication: . Then add:
2.
Calculate:
Answer: 4
First: . Then:
3.
What is ?
1. a)12
2. b)14
3. c)18
4. d)10
Answer: 18
Parentheses first: . Then multiply:
4.
Calculate:
Answer: 8
First: . Then:
5.
Solve step by step:
Answer: 9
1. First, calculate . What do you get? 12
2. Now we have . Calculate from left to right. What is ? 14
3. Finally, what is ? 9
6.
What is ?
1. a)1
2. b)4
3. c)8
4. d)16
Answer: 16
Left to right: , then
7.
Calculate:
Answer: 16
. Then . Finally
8.
What is ?
1. a)19
2. b)9
3. c)12
4. d)15
Answer: 15
. Then . Finally
9.
Calculate:
Answer: 3
Left to right: , then
10.
Solve:
Answer: 14
1. Inside the parentheses, first calculate . What is it? 4
2. Now calculate (inside parentheses). What do you get? 8
3. Now we have . Calculate : 24
4. Finally, what is ? 14
11.
Calculate:
Answer: 7
, (parentheses done). Then , . Finally
12.
What is ?
1. a)24
2. b)6
3. c)42
4. d)8
Answer: 6
. Then . Then . Finally
13.
Solve:
Answer: 15
1. First, solve the first parentheses: 5
2. Now solve the second parentheses: 3
3. Finally, multiply the results: 15
14.
Calculate:
Answer: 22
1. First, calculate the exponent: 9
2. Now we have . Multiply first: 18
3. Finally, add: 22
15.
Solve:
Answer: 19
1. First, do the division: 3
2. Now we have . Work left to right: 17
3. Finally: 19
16.
Calculate:
Answer: 15
1. Start with the parentheses: 4
2. Calculate the exponent: 8
3. Now multiply: 12
4. Now we have . Add first: 20
5. Finally subtract: 15