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Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

Chapter 6

Percents - all with Video Answers

Educators


Section 1

Understand Percent

00:41

Problem 1

In the following exercises, write each percent as a ratio.
In 2014 , the unemployment rate for those with only a high school degree was 6.0$\%$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:40

Problem 2

In the following exercises, write each percent as a ratio.
In $2015,$ among the unemployed, 29$\%$ were long term unemployed.

Tricia Watkins
Tricia Watkins
Numerade Educator
01:16

Problem 3

In the following exercises, write each percent as a ratio.
The unemployment rate for those with Bachelor's degrees was 3.2$\%$ in 2014 .

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:56

Problem 4

In the following exercises, write each percent as a ratio.
The unemployment rate in Michigan in 2014 was 7.3$\%$

Tricia Watkins
Tricia Watkins
Numerade Educator
00:52

Problem 5

In the following exercises, write as
(a) a ratio and (b) a percent

57 out of 100 nursing candidates received their degree at a community college.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:49

Problem 6

In the following exercises, write as
(a) a ratio and (b) a percent

80 out of 100 firefighters and law enforcement officers were educated at a community college.

Tricia Watkins
Tricia Watkins
Numerade Educator
00:49

Problem 7

In the following exercises, write as
(a) a ratio and (b) a percent

42 out of 100 first-time freshmen students attend a community college.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:45

Problem 8

In the following exercises, write as
(a) a ratio and (b) a percent

71 out of 100 full-time community college faculty have a master's degree.

Tricia Watkins
Tricia Watkins
Numerade Educator
01:21

Problem 9

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$4 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:34

Problem 10

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$8 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:07

Problem 11

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$17 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:09

Problem 12

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$19 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:32

Problem 13

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$52 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:16

Problem 14

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$78 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:26

Problem 15

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$125 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:46

Problem 16

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$135 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
02:06

Problem 17

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$37.5 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
02:04

Problem 18

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$42.5 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
02:09

Problem 19

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$18.4 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:41

Problem 20

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$46.4 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:48

Problem 21

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$9 \frac{1}{2} \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:34

Problem 22

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$
8 \frac{1}{2} \%
$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:32

Problem 23

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$5 \frac{1}{3} \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
02:15

Problem 24

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$6 \frac{2}{3} \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
02:01

Problem 25

In the following exercises, convert each percent to a decimal.
$$5 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:20

Problem 26

In the following exercises, convert each percent to a decimal.

Tricia Watkins
Tricia Watkins
Numerade Educator
01:42

Problem 27

In the following exercises, convert each percent to a decimal.
$$9 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:10

Problem 28

In the following exercises, convert each percent to a decimal.
$$2 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:52

Problem 29

In the following exercises, convert each percent to a decimal.
$$63 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:02

Problem 30

In the following exercises, convert each percent to a decimal.
$$71 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:27

Problem 31

In the following exercises, convert each percent to a decimal.
$$40 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:05

Problem 32

In the following exercises, convert each percent to a decimal.
$$50 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:54

Problem 33

In the following exercises, convert each percent to a decimal.
$$115 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:17

Problem 34

In the following exercises, convert each percent to a decimal.
$$125 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
02:08

Problem 35

In the following exercises, convert each percent to a decimal.
$$150 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:01

Problem 36

In the following exercises, convert each percent to a decimal.
$$250 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
02:40

Problem 37

In the following exercises, convert each percent to a decimal.
$$21.4 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:41

Problem 38

In the following exercises, convert each percent to a decimal.
$$39.3 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
02:47

Problem 39

In the following exercises, convert each percent to a decima
$$7.8 \%$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:57

Problem 40

In the following exercises, convert each percent to a decimal.
$$6.4 \%$$

Tricia Watkins
Tricia Watkins
Numerade Educator
03:15

Problem 41

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

In $2010,1.5 \%$ of home sales had owner financing. (Source;Bloomberg Business week, $23-29 / 2011)$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:36

Problem 42

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

In $2000,4.2 \%$ of the United States population was of Asian descent. www.census.gov)

Tricia Watkins
Tricia Watkins
Numerade Educator
02:18

Problem 43

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

According to government data, in 2013 the number of cell phones in India was 70.23$\%$ of the population.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:41

Problem 44

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

According to the U.S. Census Bureau, among Americans age 25 or older who had doctorate degrees in $2014,37.1 \%$ are women.

Tricia Watkins
Tricia Watkins
Numerade Educator
01:56

Problem 45

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

A couple plans to have two children. The probability they will have two girls is 25$\% .$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:21

Problem 46

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

Javier will choose one digit at random from 0 through 9 . The probability he will choose 3 is 10$\%$ .

Tricia Watkins
Tricia Watkins
Numerade Educator
01:23

Problem 47

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

According to the local weather report, the probability of thunderstorms in New York City on July 15 is 60$\% .$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:25

Problem 48

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

A club sells 50 tickets to a raffle. Osbaldo bought one ticket. The probability he will win the raffle is 2$\% .$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:34

Problem 49

In the following exercises, convert each decimal to a percent.
$$0.01$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:31

Problem 50

In the following exercises, convert each decimal to a percent.
$$0.03$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:17

Problem 51

In the following exercises, convert each decimal to a percent.
$$0.18$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:29

Problem 52

In the following exercises, convert each decimal to a percent.
$$0.15$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:15

Problem 53

In the following exercises, convert each decimal to a percent.
$$1.35$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:43

Problem 54

In the following exercises, convert each decimal to a percent.
$$1.56$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:09

Problem 55

In the following exercises, convert each decimal to a percent.
$$3$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:53

Problem 56

In the following exercises, convert each decimal to a percent.
$$4$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:29

Problem 57

In the following exercises, convert each decimal to a percent.
$$0.009$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:34

Problem 58

In the following exercises, convert each decimal to a percent.
$$0.008$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:54

Problem 59

In the following exercises, convert each decimal to a percent.
$$0.0875$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:40

Problem 60

In the following exercises, convert each decimal to a percent.
$$0.0625$$

Tricia Watkins
Tricia Watkins
Numerade Educator
00:52

Problem 61

In the following exercises, convert each decimal to a percent.
$$1.5$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:47

Problem 62

In the following exercises, convert each decimal to a percent.
$$2.2$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:26

Problem 63

In the following exercises, convert each decimal to a percent.
$$2.254$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:49

Problem 64

In the following exercises, convert each decimal to a percent.
$$2.317$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:47

Problem 65

In the following exercises, convert each fraction to a percent.
$$\frac{1}{4}$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:08

Problem 66

In the following exercises, convert each fraction to a percent.
$$\frac{1}{5}$$

Tricia Watkins
Tricia Watkins
Numerade Educator
02:11

Problem 67

In the following exercises, convert each fraction to a percent.
$$\frac{3}{8}$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:36

Problem 68

In the following exercises, convert each fraction to a percent.
$$\frac{5}{8}$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:31

Problem 69

In the following exercises, convert each fraction to a percent.
$$\frac{7}{4}$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:48

Problem 70

In the following exercises, convert each fraction to a percent.
$$\frac{9}{8}$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:46

Problem 71

In the following exercises, convert each fraction to a percent.
$$6 \frac{4}{5}$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:31

Problem 72

In the following exercises, convert each fraction to a percent.
$$5 \frac{1}{4}$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:48

Problem 73

In the following exercises, convert each fraction to a percent.
$$\frac{5}{12}$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:43

Problem 74

In the following exercises, convert each fraction to a percent.
$$\frac{11}{12}$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:17

Problem 75

In the following exercises, convert each fraction to a percent.
$$2 \frac{2}{3}$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
02:03

Problem 76

In the following exercises, convert each fraction to a percent.
$$1 \frac{2}{3}$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:49

Problem 77

In the following exercises, convert each fraction to a percent.
$$\frac{3}{7}$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:06

Problem 78

In the following exercises, convert each fraction to a percent.
$$\frac{6}{7}$$

Tricia Watkins
Tricia Watkins
Numerade Educator
01:25

Problem 79

In the following exercises, convert each fraction to a percent.
$$\frac{5}{9}$$

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:35

Problem 80

In the following exercises, convert each fraction to a percent.
$$\frac{4}{9}$$

Tricia Watkins
Tricia Watkins
Numerade Educator
00:57

Problem 81

In the following exercises, convert each fraction to a percent.
$\frac{1}{4}$ of washing machines needed repair.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:06

Problem 82

In the following exercises, convert each fraction to a percent.
$\frac{1}{5}$ of dishwashers needed repair.

Tricia Watkins
Tricia Watkins
Numerade Educator
00:50

Problem 83

In the following exercises, convert each fraction to a percent.
According to the National Center for Health Statistics, in $2012, \frac{7}{20}$ of American adults were obese.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:35

Problem 84

In the following exercises, convert each fraction to a percent.
The U.S. Census Bureau estimated that in $2013,85 \%$ of Americans lived in the same house as they did 1 year before.

Tricia Watkins
Tricia Watkins
Numerade Educator
03:09

Problem 85

In the following exercises, complete the table.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
03:09

Problem 86

In the following exercises, complete the table.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:13

Problem 87

Sales tax Felipa says she has an easy way to estimate the sales tax when she makes a purchase. The sales tax in her city is 9.05$\% .$ She knows this is a little less than 10$\%$ .
(a) Convert 10$\%$ to a fraction.
(b) Use your answer from (a) to estimate the sales tax Felipa would pay on a $\$ 95$ dress.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:53

Problem 88

Savings Ryan has 25$\%$ of each paycheck automatically deposited in his savings account.
(a) Write 25$\%$ as a fraction.
(b) Use your answer from (a) to find the amount that goes to savings from Ryan's $\$ 2,400$
paycheck.

Tricia Watkins
Tricia Watkins
Numerade Educator
01:13

Problem 89

Amelio is shopping for textbooks online. He found three sellers that are offering a book he needs for the
same price, including shipping. To decide which seller to buy from he is comparing their customer
satisfaction ratings. The ratings are given in the chart.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:29

Problem 90

Write seller C’s rating as a fraction and a decimal.

Tricia Watkins
Tricia Watkins
Numerade Educator
01:08

Problem 91

Write seller $\mathrm{B}$ 's rating as a percent and a decimal.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:08

Problem 92

Write seller A's rating as a percent and a decimal.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
00:46

Problem 93

Which seller should Amelio buy from and why?

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:30

Problem 94

Convert $25 \%, 50 \%, 75 \%,$ and 100$\%$ to fractions. Do you notice a pattern? Explain what the pattern is.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:30

Problem 95

Convert $\frac{1}{10}, \frac{2}{10}, \frac{3}{10}, \frac{4}{10}, \frac{5}{10}, \frac{6}{10}, \frac{7}{10}, \frac{8}{10},$ and $\frac{9}{10}$ to percents. Do you notice a pattern? Explain what the pattern is.

Cassidy Mccammon
Cassidy Mccammon
Numerade Educator
01:07

Problem 96

When the Szetos sold their home, the selling price was 500$\%$ of what they had paid for the house
30 years ago. Explain what 500$\%$ means in this context.

Khushbu Rani
Khushbu Rani
Numerade Educator
01:40

Problem 97

According to cnn.com, cell phone use in 2008 was 600$\%$ of what it had been in 2001 . Explain what
600$\%$ means in this context.

Jennifer Stoner
Jennifer Stoner
Numerade Educator