5th Grade PEMDAS (Order of Operations)

Spiral

100

56.34 - 2.97

53.37

200

562/12

46 r10

300

3.45 x 1.6

5.52

400

0.21 x 10 ³ =

210

500

What is the difference in the value of 6 in the number 4,761 compared to the value of 6 in the number 4,684?

a) The value of 6 in 4,761 is 1/10 the value of 6 in 4,684.

b) The value of 6 in 4,761 is 1/100 the value of 6 in 4,684.

c) The value of 6 is 100 times greater in 4,684 than in 4,761.

d) The value of 6 is 10 times greater in 4,761 than in 4,684.

a) The value of 6 in 4,761 is 1/10 the value of 6 in 4,684.

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

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

Solve 2

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

Writing Expressions

100

Add 11 to the product of 7 and 8.

11+ (7 x 8)

(7 x 8) + 11

200

Add 11 and 7, then multiply the sum by 8.

(11 +7) x 8

8 x (11 x 7)

300

Multiply 11 and 7, then add 8 to the product.

11 x 7 + 8

8 + (11 x 7)

400

Write a numerical expression that represents the phrase “six more than the product of three and nineteen.”

 6 + (3 x 19)

500

Ms. Garcia has 10 pencils for her class. Mr. Cuomo has 16 pencils for his class. When school starts, their students take half of their pencils.  

Which calculation would represent a way to find how many pencils Ms. Garcia and Mr. Cuomo have left altogether? 

a) Multiply 16 and 2, then add 10.

b) Subtract 2 from the sum of 10 and 16.

c) Add 10 and 16, then divide by 2. 

d) Divide the product of 10 and 16 by 2.

c) Add 10 and 16, then divide by 2.