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Prealgebra

Alan S. Tussy, R. David Gustafson, Diane R. Koenig

Chapter 1

Whole which of Numbers - all with Video Answers

Educators


Section 1

An Introduction to the Whole Numbers

00:10

Problem 1

Fill in the blanks.
The numbers $0,1,2,3,4,5,6,7,8,$ and 9 are the _____.

Brandon Fox
Brandon Fox
Numerade Educator
00:29

Problem 2

Fill in the blanks.
The set of _____ numbers is $\{0,1,2,3,4,5, \ldots\}$.

Rebecca Dias
Rebecca Dias
Numerade Educator
00:09

Problem 3

Fill in the blanks.
When we write five thousand eighty-nine as $5,089,$ we are writing the number in _____ form.

Brandon Fox
Brandon Fox
Numerade Educator
00:13

Problem 4

Fill in the blanks.
To make large whole numbers easier to read, we use commas to separate their digits into groups of three, called _____.

Brandon Fox
Brandon Fox
Numerade Educator
00:12

Problem 5

Fill in the blanks.
When 297 is written as $200+90+7,$ we are writing 297 in _____ form.

Brandon Fox
Brandon Fox
Numerade Educator
00:08

Problem 6

Fill in the blanks.
Using a process called graphing, we can represent whole numbers as points on a _____ line.

Brandon Fox
Brandon Fox
Numerade Educator
00:10

Problem 7

Fill in the blanks.
The symbols $>$ and $<$ are _____ symbols.

Rebecca Dias
Rebecca Dias
Numerade Educator
00:07

Problem 8

Fill in the blanks.
If we _____ 627 to the nearest ten, we get $630 .$

Brandon Fox
Brandon Fox
Numerade Educator
01:38

Problem 9

Copy the following place-value chart. Then enter the whole number $1,342,587,200,946$ and fill in the place value names and the periods.

Brandon Fox
Brandon Fox
Numerade Educator
00:41

Problem 10

a. Insert commas in the proper positions for the following whole number written in standard form: 5467010
b. Insert commas in the proper positions for the following whole number written in words: seventy-two million four hundred twelve thousand six hundred thirty-five

Brandon Fox
Brandon Fox
Numerade Educator
00:28

Problem 11

Write each number in words.
a. 40
b. 90
c. 68
d. 15

Brandon Fox
Brandon Fox
Numerade Educator
00:36

Problem 12

Write each number in standard form.
a. 8 ten thousands $+1$ thousand $+6$ hundreds $+9$ tens $+2$ ones
b. $900,000+60,000+5,000+300+40+7$

Brandon Fox
Brandon Fox
Numerade Educator
00:14

Problem 13

Graph the following numbers on a number line. (GRAPH CANNOT COPY).
$$1,3,5,7$$

Brandon Fox
Brandon Fox
Numerade Educator
00:13

Problem 14

Graph the following numbers on a number line. (GRAPH CANNOT COPY).
$$0,2,4,6,8$$

Brandon Fox
Brandon Fox
Numerade Educator
00:12

Problem 15

Graph the following numbers on a number line. (GRAPH CANNOT COPY).
$$2,4,5,8$$

Brandon Fox
Brandon Fox
Numerade Educator
00:12

Problem 16

Graph the following numbers on a number line. (GRAPH CANNOT COPY).
$$2,3,5,7,9$$

Brandon Fox
Brandon Fox
Numerade Educator
00:15

Problem 17

Graph the following numbers on a number line. (GRAPH CANNOT COPY).
the whole numbers less than 6

Brandon Fox
Brandon Fox
Numerade Educator
00:17

Problem 18

Graph the following numbers on a number line. (GRAPH CANNOT COPY).
the whole numbers less than 9

Brandon Fox
Brandon Fox
Numerade Educator
View

Problem 19

Graph the following numbers on a number line. (GRAPH CANNOT COPY).
the whole numbers between 2 and 8

Brandon Fox
Brandon Fox
Numerade Educator
00:22

Problem 20

Graph the following numbers on a number line. (GRAPH CANNOT COPY).
the whole numbers between 0 and 6

Brandon Fox
Brandon Fox
Numerade Educator
00:12

Problem 21

Fill in the blanks.
The symbols $\{\quad\},$ called _____, are used when writing a set.

Brandon Fox
Brandon Fox
Numerade Educator
00:29

Problem 22

Fill in the blanks.
The symbol > means _____ _____ _____, and the symbol < means _____ _____ _____.

Brandon Fox
Brandon Fox
Numerade Educator
00:29

Problem 23

Find the place values.
Consider the number $57,634$.
a. What is the place value of the digit $3 ?$
b. What digit is in the thousands column?
c. What is the place value of the digit $6 ?$
d. What digit is in the ten thousands column?

Brandon Fox
Brandon Fox
Numerade Educator
00:38

Problem 24

Find the place values.
Consider the number $128,940$.
a. What is the place value of the digit $8 ?$
b. What digit is in the hundreds column?
c. What is the place value of the digit $2 ?$
d. What digit is in the hundred thousands column?

Brandon Fox
Brandon Fox
Numerade Educator
00:48

Problem 25

Find the place values.
On the website Freerice.com, sponsors donate grains of rice to feed the hungry. As of October $2008,$ there have been $47,167,467,790$ grains of rice donated.
a. What is the place value of the digit $1 ?$
b. What digit is in the billions place?
c. What is the place value of the $9 ?$
d. What digit is in the ten billions place?

Brandon Fox
Brandon Fox
Numerade Educator
00:39

Problem 26

Find the place values.
It is estimated that the number of beverage cans and bottles that were not recycled in the United States from January to October of 2008 was $102,780,365,000$.
a. What is the place value of the digit $7 ?$
b. What digit is in the ten thousands place?
c. What is the place value of the digit $2 ?$
d. What digit is in the ten billions place?

Brandon Fox
Brandon Fox
Numerade Educator
00:10

Problem 27

Write each number in words.
$$93$$

Brandon Fox
Brandon Fox
Numerade Educator
00:12

Problem 28

Write each number in words.
$$48$$

Brandon Fox
Brandon Fox
Numerade Educator
00:14

Problem 29

Write each number in words.
$$732$$

Brandon Fox
Brandon Fox
Numerade Educator
00:17

Problem 30

Write each number in words.
$$259$$

Brandon Fox
Brandon Fox
Numerade Educator
00:24

Problem 31

Write each number in words.
$$154,302$$

Brandon Fox
Brandon Fox
Numerade Educator
00:14

Problem 32

Write each number in words.
$$615,019$$

Brandon Fox
Brandon Fox
Numerade Educator
00:21

Problem 33

Write each number in words.
$$14,432,500$$

Brandon Fox
Brandon Fox
Numerade Educator
00:18

Problem 34

Write each number in words.
$$104,052,005$$

Brandon Fox
Brandon Fox
Numerade Educator
00:25

Problem 35

Write each number in words.
$$970,031,500,104$$

Brandon Fox
Brandon Fox
Numerade Educator
00:24

Problem 36

Write each number in words.
$$5,800,010,700$$

Brandon Fox
Brandon Fox
Numerade Educator
00:17

Problem 37

Write each number in words.
$$82,000,415$$

Brandon Fox
Brandon Fox
Numerade Educator
00:19

Problem 38

Write each number in words.
$$51,000,201,078$$

Brandon Fox
Brandon Fox
Numerade Educator
00:11

Problem 39

Write each number in standard form.
Three thousand, seven hundred thirty-seven

Brandon Fox
Brandon Fox
Numerade Educator
00:10

Problem 40

Write each number in standard form.
Fifteen thousand, four hundred ninety-two

Brandon Fox
Brandon Fox
Numerade Educator
00:08

Problem 41

Write each number in standard form.
Nine hundred thirty

Brandon Fox
Brandon Fox
Numerade Educator
00:08

Problem 42

Write each number in standard form.
Six hundred forty

Brandon Fox
Brandon Fox
Numerade Educator
00:09

Problem 43

Write each number in standard form.
Seven thousand, twenty-one

Brandon Fox
Brandon Fox
Numerade Educator
00:10

Problem 44

Write each number in standard form.
Four thousand, five hundred

Brandon Fox
Brandon Fox
Numerade Educator
00:15

Problem 45

Write each number in standard form.
Twenty-six million, four hundred thirty-two

Brandon Fox
Brandon Fox
Numerade Educator
00:20

Problem 46

Write each number in standard form.
Ninety-two billion, eighteen thousand, three hundred ninety-nine

Brandon Fox
Brandon Fox
Numerade Educator
00:15

Problem 47

Write each number in expanded form.
$$245$$

Brandon Fox
Brandon Fox
Numerade Educator
00:13

Problem 48

Write each number in expanded form.
$$518$$

Brandon Fox
Brandon Fox
Numerade Educator
00:16

Problem 49

Write each number in expanded form.
$$3,609$$

Brandon Fox
Brandon Fox
Numerade Educator
00:15

Problem 50

Write each number in expanded form.
$$3,961$$

Brandon Fox
Brandon Fox
Numerade Educator
00:21

Problem 51

Write each number in expanded form.
$$72,533$$

Brandon Fox
Brandon Fox
Numerade Educator
00:16

Problem 52

Write each number in expanded form.
$$73,009$$

Brandon Fox
Brandon Fox
Numerade Educator
00:19

Problem 53

Write each number in expanded form.
$$104,401$$

Brandon Fox
Brandon Fox
Numerade Educator
00:15

Problem 54

Write each number in expanded form.
$$570,003$$

Brandon Fox
Brandon Fox
Numerade Educator
00:28

Problem 55

Write each number in expanded form.
$$8,403,613$$

Brandon Fox
Brandon Fox
Numerade Educator
00:28

Problem 56

Write each number in expanded form.
$$3,519,807$$

Brandon Fox
Brandon Fox
Numerade Educator
00:24

Problem 57

Write each number in expanded form.
$$26,000,156$$

Brandon Fox
Brandon Fox
Numerade Educator
00:22

Problem 58

Write each number in expanded form.
$$48,000,061$$

Brandon Fox
Brandon Fox
Numerade Educator
00:19

Problem 59

Place an $<$ or an $>$ symbol in the box to make a true statement.
a. $11 \square 8$
b. $29 \square 54$

Brandon Fox
Brandon Fox
Numerade Educator
00:21

Problem 60

Place an $<$ or an $>$ symbol in the box to make a true statement.
a. $410 \square 609$
b. $3,206 \square 3,231$

Brandon Fox
Brandon Fox
Numerade Educator
00:20

Problem 61

Place an $<$ or an $>$ symbol in the box to make a true statement.
a. $12,321 \square 12,209$
b. $23,223 \square 23,231$

Brandon Fox
Brandon Fox
Numerade Educator
00:22

Problem 62

Place an $<$ or an $>$ symbol in the box to make a true statement.
a. $178,989 \square 178,898$
b. $850,234 \square 850,342$

Brandon Fox
Brandon Fox
Numerade Educator
00:14

Problem 63

Round to the nearest ten.
$$98,154$$

Brandon Fox
Brandon Fox
Numerade Educator
00:13

Problem 64

Round to the nearest ten.
$$26,742$$

Brandon Fox
Brandon Fox
Numerade Educator
00:19

Problem 65

Round to the nearest ten.
$$512,967$$

Brandon Fox
Brandon Fox
Numerade Educator
00:16

Problem 66

Round to the nearest ten.
$$621,116$$

Brandon Fox
Brandon Fox
Numerade Educator
00:12

Problem 67

Round to the nearest hundred.
$$8,352$$

Brandon Fox
Brandon Fox
Numerade Educator
00:13

Problem 68

Round to the nearest hundred.
$$1,845$$

Brandon Fox
Brandon Fox
Numerade Educator
00:15

Problem 69

Round to the nearest hundred.
$$32,439$$

Brandon Fox
Brandon Fox
Numerade Educator
00:16

Problem 70

Round to the nearest hundred.
$$73,931$$

Brandon Fox
Brandon Fox
Numerade Educator
00:22

Problem 71

Round to the nearest hundred.
$$65,981$$

Brandon Fox
Brandon Fox
Numerade Educator
00:23

Problem 72

Round to the nearest hundred.
$$5,346,975$$

Brandon Fox
Brandon Fox
Numerade Educator
00:21

Problem 73

Round to the nearest hundred.
$$2,580,952$$

Brandon Fox
Brandon Fox
Numerade Educator
00:16

Problem 74

Round to the nearest hundred.
$$3,428,961$$

Brandon Fox
Brandon Fox
Numerade Educator
00:30

Problem 75

Round each number to the nearest thousand and then to the nearest ten thousand.
$$52,867$$

Brandon Fox
Brandon Fox
Numerade Educator
00:33

Problem 76

Round each number to the nearest thousand and then to the nearest ten thousand.
$$85,432$$

Brandon Fox
Brandon Fox
Numerade Educator
00:30

Problem 77

Round each number to the nearest thousand and then to the nearest ten thousand.
$$76,804$$

Brandon Fox
Brandon Fox
Numerade Educator
00:34

Problem 78

Round each number to the nearest thousand and then to the nearest ten thousand.
$$34,209$$

Brandon Fox
Brandon Fox
Numerade Educator
00:30

Problem 79

Round each number to the nearest thousand and then to the nearest ten thousand.
$$816,492$$

Brandon Fox
Brandon Fox
Numerade Educator
00:30

Problem 80

Round each number to the nearest thousand and then to the nearest ten thousand.
$$535,600$$

Brandon Fox
Brandon Fox
Numerade Educator
00:34

Problem 81

Round each number to the nearest thousand and then to the nearest ten thousand.
$$296,500$$

Brandon Fox
Brandon Fox
Numerade Educator
00:33

Problem 82

Round each number to the nearest thousand and then to the nearest ten thousand.
$$498,903$$

Brandon Fox
Brandon Fox
Numerade Educator
01:01

Problem 83

Round $79,593$ to the nearest...
a. ten
b. hundred
c. thousand
d. ten thousand

Brandon Fox
Brandon Fox
Numerade Educator
01:05

Problem 84

Round $5,925,830$ to the nearest...
a. thousand
b. ten thousand
c. hundred thousand
d. million

Brandon Fox
Brandon Fox
Numerade Educator
01:04

Problem 85

Round 419,161 dollars to the nearest.
a. 10 dollars
b. 100 dollars
c. 1,000 dollars
d. 10,000 dollars

Brandon Fox
Brandon Fox
Numerade Educator
01:07

Problem 86

Round $5,436,483$ ft to the nearest. $. .$
a. $10 \mathrm{ft}$
b. $100 \mathrm{ft}$
c. $1,000 \mathrm{ft}$
d. $10,000 \mathrm{ft}$

Brandon Fox
Brandon Fox
Numerade Educator
00:17

Problem 87

Write each number in standard notation.
4 ten thousands $+2$ tens $+5$ ones

Brandon Fox
Brandon Fox
Numerade Educator
00:21

Problem 88

Write each number in standard notation.
7 millions $+7$ tens $+7$ ones

Brandon Fox
Brandon Fox
Numerade Educator
00:22

Problem 89

Write each number in standard notation.
$200,000+2,000+30+6$

Brandon Fox
Brandon Fox
Numerade Educator
00:17

Problem 90

Write each number in standard notation.
$7,000,000,000+300+50$

Brandon Fox
Brandon Fox
Numerade Educator
00:11

Problem 91

Twenty-seven thousand, five hundred ninety-eight

Brandon Fox
Brandon Fox
Numerade Educator
00:17

Problem 92

Seven million, four hundred fifty-two thousand, eight hundred sixty.

Brandon Fox
Brandon Fox
Numerade Educator
00:16

Problem 93

Ten million, seven hundred thousand, five hundred six

Brandon Fox
Brandon Fox
Numerade Educator
00:10

Problem 94

Eighty-six thousand, four hundred twelve.

Brandon Fox
Brandon Fox
Numerade Educator
00:54

Problem 95

On The Price is Right television show, the winning contestant is the person who comes closest to (without going over) the price of the item up for bid. Which contestant shown below will win if they are bidding on a bedroom set that has a suggested retail price of 4,745 dollars?

Brandon Fox
Brandon Fox
Numerade Educator
01:00

Problem 96

The following list shows the ten youngest U.S. presidents and their ages (in years/days) when they took office. Construct a two-column table that presents the data in order, beginning with the youngest president.
J. Polk 49 yr/ 122 days
G. Cleveland 47 yr/351 days
W. Clinton 46 yr/ 154 days
M. Filmore 50 yr/ 184 days
I. Garfield 49 yr/ 105 days
U. Grant 46 yr/ 236 days
J. Kennedy 43 yr/ 236 days
F. Pierce 48 yr/ 101 days
B. Obama 47 yr/ 169 days
T. Roosevelt 42 yr/322 days

Lily An
Lily An
Numerade Educator
01:35

Problem 97

The United States, Russia, Europe, and Japan have launched Mars space probes. The graph shows the success rate of the missions, by decade.
a. Which decade had the greatest number of successful or partially successful missions? How many?
b. Which decade had the greatest number of unsuccessful missions? How many?
c. Which decade had the greatest number of missions? How many?
d. Which decade had no successful missions?
(GRAPH CANNOT COPY).

Brandon Fox
Brandon Fox
Numerade Educator
01:04

Problem 98

The graph shows the maximum recorded ball speeds for five sports.
a. Which sport had the fastest recorded maximum ball speed? Estimate the speed.
b. Which sport had the slowest maximum recorded ball speed? Estimate the speed.
c. Which sport had the second fastest maximum recorded ball speed? Estimate the speed.
(GRAPH CANNOT COPY).

Brandon Fox
Brandon Fox
Numerade Educator
02:09

Problem 99

Complete the bar graph and line graph using the data in the table.
$$\begin{array}{cc}\text { Year } & \text { Number } \\\hline 2000 & 3,501 \\2001 & 4,709 \\ 2002 & 5,886 \\2003 & 7,225 \\2004 & 8,569 \\2005 & 10,241 \\2006 & 12,440 \\2007 & 15,756 \end{array}$$ (GRAPH CANNOT COPY).

Sarah Wharton
Sarah Wharton
Numerade Educator
00:29

Problem 100

Complete the bar graph and line graph using the data in the table.
Natural Gas Reserves, 2008 Estimates (in Trillion Cubic Feet)
$$\begin{array}{|l|l|}\hline \text { United States } & 211 \\\hline \text { Venezuela } & 166 \\\hline \text { Canada } & 58 \\\hline \text { Argentina } & 16 \\\hline \text { Mexico } & 14 \\\hline \end{array}$$

Ashley Jordon
Ashley Jordon
Numerade Educator
00:54

Problem 101

Complete each check by writing the amount in words on the proper line.
(IMAGES CANNOT COPY).

Brandon Fox
Brandon Fox
Numerade Educator
01:03

Problem 102

One style used when printing formal invitations and announcements is to write all numbers in words. Use this style to write each of the following phrases.
a. This diploma awarded this 27th day of June, 2005
b. The suggested contribution for the fundraiser is 850 dollars a plate, or an entire table may be purchased for 5,250 dollars.

Brandon Fox
Brandon Fox
Numerade Educator
01:23

Problem 103

Edit this excerpt from a history text by circling all numbers written in words and rewriting them in standard form using digits. Abraham Lincoln was elected with a total of one million, eight hundred sixty-five thousand, five hundred ninety-three votes- four hundred eighty-two thousand, eight hundred eighty more than the runner-up, Stephen Douglas. He was assassinated after having served a total of one thousand, five hundred three days in office. Lincoln's Gettysburg Address, a mere two hundred sixty-nine words long, was delivered at the battle site where forty-three thousand, four hundred forty-nine casualties occurred.

Brandon Fox
Brandon Fox
Numerade Educator
00:26

Problem 104

The amount of electricity used in a household is measured in kilowatt-hours (kwh). Determine the reading on the meter shown below. (When the pointer is between two numbers, read the lower number.) (IMAGES CANNOT COPY).

Brandon Fox
Brandon Fox
Numerade Educator
01:25

Problem 105

The speed of light is $983,571,072$ feet per second.
a. In what place value column is the $5 ?$
b. Round the speed of light to the nearest ten million. Give your answer in standard notation and in expanded notation.
c. Round the speed of light to the nearest hundred million. Give your answer in standard notation and in written-word form.

Brandon Fox
Brandon Fox
Numerade Educator
00:45

Problem 106

Graph each cloud type given in the table at the proper altitude on the vertical number line below.
$$\begin{array}{|l|l|}\hline \text { Cloud type } & \text { Altitude (ft) } \\ \hline \text { Altocumulus } & 21,000 \\ \hline \text { Cirrocumulus } & 37,000 \\ \hline \text { Cirrus } & 38,000 \\ \hline \text { Cumulonimbus } & 15,000 \\ \hline \text { Cumulus } & 8,000 \\ \hline \text { Stratocumulus } & 9,000 \\ \hline \text { Stratus } & 4,000 \\ \hline\end{array}$$ (GRAPH CANNOT COPY).

Brandon Fox
Brandon Fox
Numerade Educator
00:18

Problem 107

Explain how you would round 687 to the nearest ten.

Brandon Fox
Brandon Fox
Numerade Educator
00:54

Problem 108

The houses in a new subdivision are priced "in the low $130 \mathrm{s}$ " What does this mean?

Brandon Fox
Brandon Fox
Numerade Educator
00:56

Problem 109

A million is a thousand thousands. Explain why this is so.

Brandon Fox
Brandon Fox
Numerade Educator
00:58

Problem 110

Many television infomercials offer the viewer creative ways to make a six-figure income. What is a six-figure income? What is the smallest and what is the largest six-figure income?

Brandon Fox
Brandon Fox
Numerade Educator
01:43

Problem 111

What whole number is associated with each of the following words?
$$duo \quad decade \quad zilch \quad a grand \quad four score \\ \quad dozen \quad trio \quad century \quad a pair \quad nil$$

Brandon Fox
Brandon Fox
Numerade Educator
00:31

Problem 112

Explain what is wrong by reading $20,003$ as twenty thousand and three.

Brandon Fox
Brandon Fox
Numerade Educator