Math Review

Conversions

100

Convert DECIMAL to PERCENT:

0.08

8%

200

Write the FRACTION as a PERCENT:

9/20

45%

300

Mr. Winters was cutting a piece of wire for some art. He cut a .65 piece. How long would this be written as a fraction?

65/100

400

There are 15 blue pens out of 25. What percent of the pens are blue?

60%

500

After reading a book for English class, 100 students were asked whether or not they enjoyed it. Nine twenty-fifths of the students did not like the book. How many students liked the book?

64 students

Order of Operations

100

2(3² + 4²) =

50

200

7 × 5−2² =

7 × 5−2²

= 7 × 5 − 4 

= 35 − 4

= 31

300

(3 × 2²) ÷ (6−4) =

(3 × 2²) ÷ (6−4)

= (3×4) ÷ (6−4)

= 12 ÷ (6−4) 

= 12 ÷ 2 

=6

400

(9 + 3 - 8) x 10 ÷ 2² =

(9 + 3 - 8) x 10 ÷ 2² 

= ((12−8) × 10) ÷ 2² 

= (4×10) ÷ 2² 

= 40 ÷ 2²

= 40 ÷ 4 

= 10

500

(10 + 2 - 5) x (6² ÷ (8 - 4))=

63

Integers

100

Find the sum:

-51 + (-23) =

-74

200

Find the sum:

-22 + (-13) + 6 =

-29

300

Find the difference:

-18 - (-5) =

-13

400

Josie has $47 left on her checking account. If she writes a check for $55, what will Josie's balance be?

-$8

500

A scuba diver swam 96 feet beneath the surface of the lake. He then climbs up 49 feet. What is his depth now?

47 feet beneath the surface = -47 feet

Conversions

100

Convert DECIMAL to PERCENT:

0.125

12.5%

200

Write the PERCENT as a FRACTION:

24%

6/25

300

Convert FRACTION to PERCENT:

3/4 =

75%

400

What is greater?

7/8 or 88%

88%

500

BONUS QUESTION: 

Where did Ms. Jess go to college?

Denison University in Granville, Ohio!

Order of Operations

100

(6+2²) × 10 =

(6+2²) × 10

= (6+4) × 10 

= 10×10

= 100

200

(9−5)² ÷ 4 =

(9−5)² ÷ 4

= 4² ÷ 4

= 16÷4

= 4

300

(3 + 5² − 8) × 4 =

(3 + 5² − 8) × 4 = 

= (3 + 5²−8) × 4 

= (28−8) × 4 

= 20 × 4 

= 80

400

3³ × (6 + 2 −8) =

3³ × (6 + 2 −8)

= 3³ × (8−8) 

= 3³ × 0 

= 27 × 0

= 0

500

(3 + 9) ÷ 6 - 2 x 8 ÷ 4² =

1