Order of Operations

Conceptual

100

What does PEMDAS stand for?

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

200

What does the P in PEMDAS stand for?

Parentheses

300

What does the E in PEMDAS stand for?

Exponents 

400

What is the third operator in PEMDAS?

Multiplication

500

What are the order of operations?

How to solve/computer a math problem

PEMDAS

Computation

100

8 / 4 x 2 + 18 = ?

22

200

2 (9 x 5 + 3²) + 4 = ?

2 (45 + 9) + 4 = ?

2 (54) + 4 = ?

108 + 4 = ?

112

300

(10 + 59 - 3²) / (24 - 4) = ?

(10 + 59 - 9) / (20) = ?

(60) / 20 = ?

3

400

4 x (12 x 6 - 4²) + 9 = ?

4 x (72 - 16) + 9 = ?

4 x (56) + 9 = ?

224 + 9 = 233

500

( 6 + 4 )² + (11 + 10 ÷ 2 )

116

Word Problems

100

Paul bought 3 pairs of pants for $25 each and paid with a $100 bill. Write a numerical expression to represent this situation.

100 - (25 + 25 + 25)

or

100 - (3 x 25) 

200

Kurtis bought 2 burgers for $3.50 each and 3 medium French fries for $1.20 each. Write a numerical expression to represent this situation and find the total cost of Kurtis's food

(2 x 3.50) + (3 x 1.20) = $10.60

300

How do you write the expression for the following?

Forty divided by four minus the difference of five and three.

40 / 4 - (5 - 3)

400

How do you write the expression for the following: 

Three multiplied by the sum of thirteen.

Hint: there is more than one answer!

3(12 + 1)

3(11 + 2)

3(10 + 3)

3(9 + 4)

3(8 + 5)

3(7 + 6)

3(6 + 7)

3(5 + 8)

3(4 + 9)

3(3 + 10)

3(2 + 11)

3(1 + 12)

500

Za'Zetta, Tasha, and Myra go to the book fair where paperback books are $1.50 and hardback books are $3. They buy 5 paperback books and 2 hardback books. They use a $20 bill to pay for the books. How much change will the ladies receive?

(5 x 1.5) + (3 x 2) = 13.5

20 - 13.5 = 6.5

$6.50 in change received