Fractions, Decimals, and Precents

Question 1

Use the percent change table to solve:

If the price of a $30 shirt decreased by 20%, what was the final price of the shirt?

Answer 1

Change | x | 20

Original | 30 | 100

x 20

___ = ____ = 6

30 100

Therefore, the price of the shirt decreased by $6. The final price of the shirt was $30 - $6 = $24

Numbers | Percentage or Fraction

Question 2

What number is 50% greater than 60?

Answer 2

Original x (1 + Percent increase/100) = New

60(1+50/100) = 90

Question 3

Translate:

A is 1/6 of B

Answer 3

A = (1/6)B

Question 4

A plant originally cost $35. The price is increased by 20%. What is the new price?

Answer 4

Original x (1 + Percent increase/100) = New

35(1+20/100) = 42

Question 5

Simplify: (4 x 10^-2) - (2.5 x 10^-3)

Answer 5

0. 0400
   - 0.0025

________

0.0375

Question 6

Simple Interest

Answer 6

Principal x Rate x Time

Question 6

Translate:

E is 10% greater than F

Answer 6

E = (1+ 10/100)F

Question 8

What is the integer closest to:

64,239,028 / 16,127,512

Answer 8

64,239,028 / 16,127,512 =

64/16 = 4

Question 8

Convert 0.23 to a fraction

Answer 8

23

_____

100

Question 9

89.507 x 10

Answer 9

895.07

Move the decimal forward 1 space

Question 10

Convert 8% to a fraction

Answer 10

8 2

___ = ____

100 25

Question 11

The Percent Table

Answer 11

| **Numbers **| Percentage or Fraction

**Part **| |

**Whole | | ** 100

Question 11

Use the percent change table to solve:

The price of a cup of coffee increased from 80 cents to 84 cents. By what percent did the price change?

Answer 11

Change | 4 | x

Original | 80 | 100

4 x

___ = ____ = 5. The price increased by 5%

80 100

Numbers | Percentage or Fraction

Question 11

Translate:

X percent

Answer 11

X

_____

100

Question 13

4,169.2 ÷ 10²

Answer 13

41.692

Move the decimal backward 2 spaces

Question 14

When the numerator is smaller than the denominator, the fraction will be

Answer 14

less than one

Question 14

Simplify: (0.08)² ÷ 0.4

Answer 14

(0.08)² 0.0064 0.064

_______ = ________ = ______ = 0.016

0.4                  0.4                  4

Question 15

Convert 45% to a fraction

Answer 15

45 9

___ = ____

100 20

Question 16

14.29 ÷ 10⁵

Answer 16

0.0001429

Question 18

2.57 x 10⁶

Answer 18

2,570,000

Question 19

3.9742 x 10³

Answer 19

3,974.2

Move the decimal forward 3 spaces

Question 20

53.0447 ÷ 10^-2

Answer 20

5,304.47

Question 21

Convert 0.3 to a fraction

Answer 21

3

____

10

Question 21

Convert .007 to a fraction

Answer 21

7

_____

1000

Question 22

Use the percent table to solve: 75% of what number is 21?

Answer 22

| Numbers | Percentage or Fraction Part | 21 | 75 Whole | x | 100 21 75 \_\_\_ = ____ = 28 x 100

Question 23

Compound Interest

Answer 23

P = principal r = rate (decimal) n = number of times per year t = number of years

Question 24

The Percent Change Table

Answer 24

| Numbers | Percentage or Fraction Change | | Original | | 100

Question 25

What number is 150% greater than 60?

Answer 25

Original x (1 + Percent increase/100) = New 60(1+150/100) = 150

Question 26

# Translate: Y is X percent of Z

Answer 26

Y = (X/100)Z OR Y X \_\_\_\_ = \_\_\_\_\_ Z 100

Question 28

Use the percent table to solve: What is 30% of 80?

Answer 28

| Numbers | Percentage or Fraction Part | x | 30 Whole | 80 | 100 x 30 \_\_\_ = \_\_\_\_ = 24 80 100

Question 30

Terminating Decimals: If after being full reduced, the denominator has

Answer 30

Any prime factors besides 2 or 5, then it's decimal will repeat If the denominator only has factors of 2 and/or 5, then the decimal will terminate

Question 31

Simplify: (4.5 x 2 + 6.6) ÷ 0.003

Answer 31

1) 4.5 x 2 = 9 2) 9 + 6.6 15.6 15,600 \_\_\_\_\_\_\_ = _______ = \_\_\_\_\_\_\_ = 5,200 0.003 0.003 3

Question 31

# Translate: Ratio of X to Y

Answer 31

X/Y

Question 33

70 is 250% greater than what number?

Answer 33

Original x (1 + Percent increase/100) = New x(1+250/100) = 70 x = 20

Question 34

When the numerator is larger than the denominator, the fraction will be

Answer 34

Will be greater than 1

Question 35

As the denominator of a number gets bigger, the value of the fraction gets

Answer 35

Smaller

Question 36

# Translate: G is 30% less than H

Answer 36

G = (1-30/100)H

Question 37

15% of the water in a full 30-gallon drum evaporated. How much water is remaining?

Answer 37

| Numbers | Percentage or Fraction Change | x | 15 Original | 30 | 100 x 15 \_\_\_ = \_\_\_\_ = 4.5 30 100 30 - 4.5 = **25.5 gallons remain**

Question 38

As the denominator of a number gets smaller, the value of the fraction gets

Answer 38

Bigger

Question 40

Multiplying a number by a fraction between 0 and 1 created a product _________ than the orginal number

Answer 40

Smaller

Question 41

10^-3 =

Answer 41

1 \_\_\_\_ = 0.001 10³

Question 42

83.708 ÷ 10

Answer 42

8.3708 Move the decimal backward 1 space

Question 43

Dividing by a fraction between 0 and 1 yields a quotient, or result, that is _________ than the orginal number

Answer 43

Larger

Question 44

6,782.01 x 10^-3

Answer 44

6.78201

Question 45

Simple Interest =

Answer 45

Principal x Rate (decimal) x Time (years)

Question 46

As the numerator gets bigger

Answer 46

The fraction gets bigger because you have more pieces