GEMDAS (Order of Operations)

Word Stuff

100

Give the correct order of operations.

Grouping, Exponents, Multiplication OR Division, Addition OR Subtraction

200

Why is it important to know GEMDAS as a mathematician?

So everyone can solve every problem the same (correct) way.

300

If multiplication and division are both in a problem, which do you do first?

Whichever comes first, left to right

400

Tell what 5 ³ really means.

It means 5 x 5 x 5

500

The problem was 20 - 5 x 2 + 3. My answer was 33. What did I do wrong?

I went from left to right without using the correct order of operations.

Solve

100

3 + 4 x 5

23

200

7 + (2 x 4) - 1

14

300

56 ÷ (4+4) + 3²

16

400

20 – (5+3) x 2 + 4

8

500

(5 x 4) – 6 ÷ 2 + 9

26

Fix my Mistake

100

9 - 3 x 2=12

Correct answer is 3. Do x then -, not - then x.

200

5 ² + 1=11

5 ² = 25, not 10. Correct Answer is 26.

300

3² - 6 = 0

3 ² = 9, not 6. Correct answer is 3

400

4 + 5 + 7 - 3 x 2 = 26

You need to follow PEMDAS and do x first. Correct answer is 10.

500

10 ³ = 30

10 ³ = 10 x 10 x10, which is 1000, not 30.

Solve

100

14 - 2 x 7

0

200

49 ÷ (3+4) + 5²

32

300

5 + 14 ÷ 2 × 5

40

400

(4-1)² + (5+ 1)²

45

500

1² + 2² x 3² - 4²

21

Word Stuff

100

If you have multiple grouping symbols where do you start? Ex. {1+[5-3(2²)]x6}

The inner most grouping 

Ex. parentheses

200

What are different grouping symbols? (Hint: there are 6)

Parentheses, braces, brackets, radical, fraction bar, absolute value

300

If addition and subtraction are both in a problem, which do you do first?

Whichever comes first, left to right

400

Tell what a square root does. Ex: √16

A square root of a number is a value that, when multiplied by itself, gives the number. Ex: 4 × 4 = 16, so a square root of 16 is 4

500

The problem was 16 + 2 (3 - 6). My answer was 48. What did I do wrong?

I went from left to right without using the correct order of operations.