PEMDAS Review

Grouping Symbols

100

Insert the grouping symbols so that the expression has the value of 32  

 2 x 9 + 7

2 x (9 + 7) = 32

200

Insert the grouping symbols so that the expression has the value of 6  

 ⅓ x 21 - 3

 ⅓ x (21 - 3) = 6

300

Insert the grouping symbols so that the expression has the value of 16  

2 x 9 + 7 ÷ 2

2 x (9 + 7) ÷ 2 = 16

400

Insert the grouping symbols so that the expression has the value of 43  

2.5 + 5 x 6 - 2

(2.5 + 5) x 6 - 2 = 43

500

Insert the grouping symbols so that the expression has the value of 24  

34 - 5 x 4 ÷ 8 - 6

34 - 5 x [4 ÷ (8 - 6)] = 24

Explain the Mistake

100

Explain the error. What is the correct answer?

12 - 3 (12 ÷ 3)

9 (12 ÷ 3)

9 (4)

36

They subtracted 12 minus 3 instead of dividing 12 by 3 first.

12 - 3 (12 ÷ 3)

12 - 3 (4)

12 - 12

0

200

Explain the error. What is the correct answer?

10 + 2 (12 − 3)

10 + 2 (9)

12 (9)

108

They added 10 + 2 when they should have multiplied 2 x 9 first.

10 + 2 (12 − 3)

10 + 2 (9)

10 + (18)

28

300

Explain the error. What is the correct answer?

90 ÷ 5 (3 x 2) − 1

90 ÷ 5 (6) -1

90 ÷ 30 -1

3 - 1

2

They multiplied 5 x 6 when they should have divided 90 by 5 first.

90 ÷ 5 (3 x 2) − 1

90 ÷ 5 (6) -1

18 x (6) -1

108 - 1

107

400

Explain the error. What is the correct answer?

40 − 2 + 4 x 3²

40 – 2 + 4 x 9

40 – 2 + 36

40 – 38

2

They added 2 and 36 instead of subtracting 40 by 2 first.

40 − 2 + 4 x 3²

40 – 2 + 4 x 9

40 – 2 + 36

38 – 36

74

500

Explain the error. What is the correct answer?

2³ + 24 ÷ 2 x 6 − 3

8 + 24 ÷ 2 x 6 – 3

8 + 24 ÷ 12 – 3

8 + 2 – 3

10 - 3

7

They multiplied 2 x 6 instead of dividing 24 by 2 first (did not solve left to right!)

2³ + 24 ÷ 2 x 6 − 3

8 + 24 ÷ 2 x 6 – 3

8 + 12 x 6 – 3

8 + 72 – 3

80 – 3

77

PEMDAS (w/ decimals)

100

Solve. (SHOW YOUR WORK!)

5.5 + 5.1 (7 – 6.2)

5.5 + 5.1 (7 - 6.2)

5.5 + 5.1 (0.8)

5.5 + 4.08

9.58

200

Solve. (SHOW YOUR WORK)

7 – 6 + (7.5 − 6.5)

7 – 6 + (7.5 − 6.5)

7 - 6 + (1)

1 + (1)

2

300

Solve. (SHOW YOUR WORK)

24.4 - (9.5 – 6.1) × 5

24.4 - (9.5 – 6.1) × 5

24.4 - (3.4) × 5

24.4 - 17

7.4

400

Solve. (SHOW YOUR WORK)

9.5 − (7 + 3.6) × 4²

9.5 − (7 + 3.6) × 4²

9.5 − (10.6) × 4²

9.5 − (10.6) × 16

9.5 −169.9

-160.1

500

Solve. (SHOW YOUR WORK)

[8 × (8.5 ÷ 5 × 5)] - 82.2

[8 × (8.5 ÷ 5 × 5)] - 82.2

[8 × (1.7× 5)] - 82.2

[8 × 8.5] - 82.2

[68] - 82.2

-14.2

PEMDAS (w/ fractions)

100

Solve. (SHOW YOUR WORK)

1/2 x 2 + 3

1/2 x 2 + 3

1 + 3

4

200

Solve. (SHOW YOUR WORK)

(1/4 + 1/4) x 2

(1/4 + 1/4) x 2

(1/2) x 2

1

300

Solve. (SHOW YOUR WORK)

(2/3 - 1/3 + 4/6) x 2

(2/3 - 1/3 + 4/6) x 2

(1/3 + 4/6) x 2

(1) x 2

2

400

Solve. (SHOW YOUR WORK)

1/3 x 2/3²

1/3 x 2/3²

1/3 x 4/9

4/27

500

Solve. (SHOW YOUR WORK)

(3/5 + 2/5)² + (6² - 2)

(3/5 + 2/5)² + (6² - 2)

(1)² + (6² - 2)

(1)² + (36 - 2)

(1)² + (34)

(1) + (34)

35

Challenge Questions

100

Solve. (SHOW YOUR WORK)

9 + 3² x (6 - 3)

9 + 3² x (6 - 3)

9 + 3² x (3)

9 + 9 x 3

9 + 27

36

200

Solve. (SHOW YOUR WORK)

7 - 24 ÷ 8 x 4 + 6

7 - 24 ÷ 8 x 4 + 6

7 - 3 x 4 + 6

7 - 12 + 6

-5 + 6

1

300

Solve. (SHOW YOUR WORK)

10 × 4 - 2 × (4² ÷ 4)

10 × 4 - 2 × (4² ÷ 4)

10 × 4 - 2 × (16 ÷ 4)

10 × 4 - 2 × (4)

40 - 2 x (4)

40 - 8

32

400

Solve. (SHOW YOUR WORK)

-2 (1 × 4 - 2 ÷ 2) + (6 + 2 - 3²)

-2 (1 × 4 - 2 ÷ 2) + (6 + 2 - 3²)

-2 (4 - 2 ÷ 2) + (6 + 2 - 3²)

-2 (4 - 1) + (6 + 2 - 3²)

-2 (3) + (6 + 2 - 3²)

-2 (3) + (6 + 2 - 9)

-2 (3) + (8 - 9)

-2 (3) + (-1)

(-6) + (-1)

-7

500

Solve. (SHOW YOUR WORK)

6 - 2 x (6² - 2)² + 4

6 - 2 x (6² - 24)² + 4

6 - 2 x (36 - 24)² + 4

6 - 2 x (12)² + 4

6 - 2 x (144) + 4

6 - 288 + 4

-282 + 4

-278