Order of Operations

Are you smarter than a 5th grader?

Solve It

Fix It

Order It

Are you as smart as a 7th grader? (Challenge)

100

What is the acronym for the order of operations?

PEMDAS

100

3 + 4 x 5

100

What mistake was made?

9 - 3 x 2=12

They did 9 - 3=6, then multiplied by 2 to get 12. They should have done 3 x 2=6, then 9 - 6 to get 3.

100

Order from least to greatest:

6²-6

4²+2²

5²

4²+2²=20

5²= 25

6²-6 = 30

100

Evaluate the following expression.

-7 - 7²

-56

200

What do each of the letters in PEMDAS stand for?

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

200

7 + (2 x 4) - 1

200

What was the mistake?

5² + 1=11

They did 5 x 2=10, then 10 + 1 = 11. They should have done 5 x 5=25, then 25 + 1=26.

200

Order from least to greatest:

6 + (9-5) x 4 = 22

12 x 2 + 6 - 8 x 3 = 6

2⁴ x 5 = 80

12 x 2 + 6 - 8 x 3 = 6

6 + (9-5) x 4 = 22

2⁴ x 5 = 80

200

(-5)² - (-2)⁴ =

300

Does Multiplication always come before Division?

Multiplication does not always come before division. They have equal priority and must be solved from left to right.

300

56 ÷ (4+4) + 3²

300

What is the mistake?

4 + 5 + 7 - 3 x 2 = 26

They did everything from left to right instead of following PEMDAS. They should have done 3 x 2=6, then 4 + 5 + 7 + 6 =33.

300

Order from least to greatest:

4²

2⁵

4 + 2²

4 + 2²= 8

4²=16

2⁵= 32

300

10 - 9 x (-6)

400

Does Addition always come before Subtraction?

Addition does not always come before subtraction; solve left-to-right.

400

20 – (5+3) x 2 + 4

400

What is the mistake?

2 - 1 + 9² x 3 - 2 = 242

They did 9 x 2 instead of 9 x 9, then multiplied 81 times 3 to get 243.

Then they did 2 - 1 + 243 - 2 = 242.

400

Order from greatest to least:

9 x 10 + 4 - 2(1+1)

5 + 5(3+2) - 3

8²+ 3(1+2) - 6

9 x 10 + 4 - 2(1+1) = 90

8²+ 3(1+2) - 6 = 67

5 + 5(3+2) - 3 = 27

400

10 x (-9 + (-6))

-150

500

What happens when you multiply or divide a negative number by a negative number?

It equals a positive number.

500

(5 x 4) – 6 ÷ 2 + 9

500

12² + 4(9 - 2) = 1036

They did 12² = 144 then added 4 to get 148. Then they did (9-2) = 7 and multiplied 7 x 148.

They should have done (9-2)=7, then multiply by 4 to get 28. 28 + 144 = 172.

500

Order from greatest to least:

6⁴

6²+6²

6³+2²

6^{4 =}1,296

6³+2²=220

6² + 6²=72

500

10 + 54/-6