ona billion, two hundred seventy-three million. one hundred eleven thousand. twohundred ninety
Waye You can use the short wordlorm.
I billion. 273 million. 111 It>o<Jsand.290
Guided Practice
Write each number in standard lorm.
Moll YoUrself
• What place comes t>&lo<eeachoonwna?
1. 8 million. 345 thousand. 752
2. one hundred nine million. three hundred forty-two
3. (8 x 10"1 + (3 x lOS) + (4 X 1~) + (6 x 10~) + (7 x l(3) Explain Your Thinking" In Exercise 2. how did you decide in which
place the digit 9 should bewritten?
Practice and Problem Solving Write each number In standard lorm.
4. 24 million. 79 thousand. 129 !s. 392 billion. 34 million. 25 s. three billion. fourteen million. five hundred eighty-nine
1. four hundred two billion. three million. one hundred seventeen
a. (4 x 10'°) + (6 x lOS) + (9 x 107) + (6 x 10') + (1 x l(3) + (2 x 1(0) Write tile value 01 the underlined digit in ahort wordlorm.
9. 45.11.76.541 10. 2,a46.780.102 11. 4~.073.969.208
Write each number In expanded lorm using exponents.
13. 200.000.700 14. 19.6OO.tOO Solve.
1$. Russia has a land area of 17.075.400 square kilometers. The United States has a land area of 9 million square
kilometers, Write each measurement in expanded fonn using exponents.
Mixed Review and Test Prep Open Response
Add or sublrll(:l.~41
17.99-96 18.32+45
16. In 2000 the population of the United States was two hundred eighly-one million. four hundred twenty-one thousand. nine hundred sl!tWrite that number in standard form.
Multiple Choice 1
23. What is the value of the digit ~ in I
12.648.067.905?(CIl. 1.~3l
la. 57 - 32
21. t2+23+34
20. 71 + 28
22.96-81 B 400.000
c 4.000.000 o 40,000,000
E.dr3PraclJce See page 25, Set C. Chapter 1 lesson 3 9
Start from the left, compare the digits until they are different
18,066,000 18,131,000 18,131,000> 18,066,000
., ..
Une up the numbers by pt3ce value. o
18,066.000 18,131,000
_ _ _ IIlUsteo .... _ _
Compare, Order, and
Round Whole Numbers~=",
. o , ..
Objectiv.. Coml>are, omar,androundwt>oIe...,-,bers lh""-'Qh l>und'edbi~.
Compare 18,066,000 and 18,131,000.
Learn About It
The map shows the populations of some of the world's largest metropolitan areas in the year
2000. Which metropolitan area had a greater '---''''~~;'?
population, Bombay. India or Mexico City, Mexico? ~~;::-~
SOlution: Mexico City, Mexico had the greater population
You can use the same methodto order three or more numbers.
Llstlhe cille~ewYorkCity, Tokyo, and SAo Paulo---ln order from greatest population to least population,
R...mlle<
• Os,ead"IseQO.Ialto'
< Os 'ead "Is lesst...,ã
> is read"Is ll'''''le, than"
'!>'~ Une up the
o oomt>ersby place vei<le.
16,640,000 26,444.000 17,755,000
",,~ Stanal theIell.
a Compare digits.
16,640,000 26,444,000 2> 1 17,755,000 26,444,000 is lhe grealest oomber.
",'''''' Continue compe,irlg.
e 16.640.000 7 6
17.755,000
17,755.000> 16,640,000
So, 26,444.000 > 17.755,000 > 16,640,000.
SOlution: The cities, in Ofder from greatest population to least population, are Tokyo, sao Paulo, and New York City,
10
Round lhe population olTokyo 10 the neareat million.
.,.1b Identify the place
o yoo want to
round to.
22,444.000 rounding place!
.,.1b Look at the dig;t
e to its right.
22.444.000 digit to 1he right!
.,.1b If the digit to the right is 5 or
o greater. increase 1he rounding place digit by 1.U the digit is less than 5.do not change the rounding place digit. Then
replace all digits to the right with zeros.
22.444.000 4 5 / '_ _---..
I . / Do notChange...
26.000.000 "'" !he6. Writezeros
to1tlerigll. ../
Solution: 26.444.000 rounded to the nearest million is 26.000.000.
Guided Practice
Compare. Wrile >,<,or =lor each . , 1. 25.431 .25.661
2. 4.569.102.4.570.000
3. 73,000. 9.995
4.37,329.410.38,000,116
Order each sel 01 numbenlrom greatesllo least.
M\( YOUtself
• Arethe r"ll,lITII;Iers~nedup by pjace valoo?
• Where arethedigitsdillo,ent?
• WlIatistt>o digit to1he''I1't
01tt>o ~Iam roun<Jr.gt<l?
5. 43.055: 422,007: 42.007 e. 812,661: 82.811.121: 82.935.661 Round 10 the place indicated bythe underlined digit.
7. 545 8. 7Ba.256
O. 2~592.124 10, 674,12a,811
Ellpiain Your Thinking" Why is the digit in the hundreds place used to round a number to the nearest thousand?
Chapter 1 Lesson 4 11
Practice and Problem Solving Compare. Write >, <, or '" for eac:h • .
11. 1.652. 1.709 12. 38.459. 38.459 13. 9.302.124.9.298.116 14. 164275.808. 167.001.005
Order each set 01 numbers from 9reatest to least.
15. 90.456292.89.509.765
16. 6.714; 6.764: 6.734
18. 3.906.211; 4.031.232: 4.029.306
17. 541.536: 511.394: 601.345
11'. 265.616.645; 99.678.764; 257.724.925 Round to the place indicated by the underlined digil.
20. 5.261
Round eac:h number.
21. 571238 22. 3d89.112 23. 65a,324,721
24. 28.652 to the nearest thousand 26. 421,062,312 to the nearest million
25. 624.314 to the nearest hundred thousand 27. 385.781.521 to the nearest ten million Write a number for the missing digit that win make the Inequality true.
28.17.7.5> 17.766 21'. 32• .494 < 324.210 30. 765.789< 7.5.769
tl Data Use the tabte to solve Problems 31-34.
31. 'Mlich city is projected to have the 9reatest population in 2015? Which city will have the least population?
32. Arrange the cities in order from least population to greatest population based
00 the projected populations in 2015.
33. 'Mlich two cities will have populatiOllS that round to the same number when rounded to the nearest million?
34. In 2015. which city will have the closest population to 20.000.0001 E!lplain your thinking,
Metropolitan
.~
Mexico City New'(O{kCity
SAoPaulo
Projected Population lortheY""r :WIS
26.138.000 19.180.000 17.432.000 20,397.000 26.444,000
12 ExtraPractictSeePaoe25,~D,
-gJP@,WODi --- --- -- - -- ---:
-PPgl,OlIllID -- --
---:
Repeat Step 2 until each player has placed
6 cards, The playe. wiltlthe greater number scores a point.
Each player draws a card and places il on his or her game boa.d, Once placed. the card cannot be fl'lOVed.
Cut outlhe cards and game boardfor each player. Shullie all cards together and place them in a stack.
o o
How to Play
2 players
What you'll naa<l • twocopies01 Learning Tool 6. one copy 01 Learning Tool 29 tor each player
Digit Challenge
Repeal Steps 2-3.The fi('f;t player to score a t01a1 0110 points is Ihe winner.
o Return all cards to the deck and reshul1le.
Write each number In standard lorm.~1anti31
3. two hundred lou. billion. eight hundred seventy-nine thousand. sixty ChlM:k your understandin9 01 Lessons 1-4.
1. 96 thousand 18 2. 700,000 + 60.000 + 400 + 8
W.ite each number In expanded lo.m with exponents. ~21
4. 5.956 5. 734.508 e. 95.096
Order each sel 01 numbers lrom greatest to least.~ ~l
7.27.509: 27.590: 29,705 8.324.678: 315.798: 324.778
I Extra Pr.lc:Iceateduplace.comJmap I Chapter 1 Lesson 4 13
Place Value Through Thousandths
Vocabulary
decimal decimal point Objective RNd Md write decimals Ihrough1hQus.an<:tths.
Learn About It
A decimal is a number with OIle or more digits \0 ttle right of ttle deelmal point. Decimals can be used to compare land areas of the wol1d. The land area of Asia is 0.214 of the tand area on Earth.
Express0.214 In words.
Usa the p1aceãvalue charlla uode,stand dedmals
The \/alue of the digits to Ihe right of the ':-::"":",:libeI"I:::::l.I;:::::~::'~~:r.'~::;~'
decimal polO! is less than 1. IhY- tens ~ t~lhat""do_lhOIlS''''d!MI
Slarxia,d form: 0.214 0 . 1 4
WOfdIorm: two hundred leurleen thousandths L dlK:imal pcO!11
Shorl W()(d Iorm: 214 thousandths Thelastdigitall...It>&decimal point leUS IlOWtoname1tIOldeeimalparts,
Another Example
Write each in standard form.
Write each decimal In word form.
Guided Practice M\l Yourself
• HowcanIuse the-..Qfd rwne10fir<!th&lastplace in t!l&doamal?
• What word <10 Iwrilelor t!l&deCimal poin1?
2. four and sixteen thousandths 1. five tenths
Decimals Grealer Than 1 Write 4.035 in word Io<m.
four and thirty-live thousandths
3. 2.7 4. 0.15 5. 0.094
Exph.in Your Thinking'" How does the VlIlue 01 the last digit help you read a decimal?
14
Practice and Problem Solving Write each in standard form.
15. nine hundredths
8. twenty-five thOtJsandths 10. eleven and seven tenths
12. eighteer1 and nine thousandths Write each decimal In words.
7. one hundred thirty~eightthousandths 8. five and lorty-six hundredths
11. seventy-nine thousandths
13. ten and twenty-lour hundredths
14. 0.019 18. 0.789
15. 0.3
18. 4.306
18. 0.34
20. 0.082
11. 25.4 21.3.17 Write the value of the underlined digit in words.
22. 5.7I 28. 8.10li!
23. 6.2.45 27. 4I3
24. 7.88 28. J.99
25. 8.37,!
20. 0ã224
It!J Data Usethe graph for Problems30--33.
30. What part of the Earth's land areadoes NorthAmerica cover?Write the decimal inwords.
31. Which cootinent covefS one hundred twenty-one thousandths of Earth's land area?
32. Which cootinentor region coversthe smallest part of Earth's land area?
33. Which COI1tinents each cover mOfe than two tenths 01 Earth's land area? Use a place-value chart to explain your answer.
Land Area of Earth
EmaPracticeseepage 25. Set E.
Open Response
Multiply or divide. ~41 34.7Xl1
38.16+8
35.36+4 31. 12x4
36. Wrile the decimal 30.068 in word fonn and in short word form. I
(CIl.1.~51 ~
Chapter 1 Lesson 5 15
Problem-Solving Strategy
Find a Pattern
Objective Look k:o'a panern lO~aproblem.
Problem Postage stamps are OOIle<:led around the world.
Some rare stamps are worth oyer $100,000.10 1980. the
lit British Guiana stamp was sold for $935,000.
lani collects stamps. In 1996. a paniellisr stamp was wonh
$1.520. The value in 2000 was $1.620. The value in 2002
was $1.720. The value in 2004 was $1.820. If the t,end
continues. what is the value 01 the slamp likely to bein 2008?
Thl8 Is what you know;
• In 1998, a particular stamp was worth $1.520.
• The value in 2000 was $1.620.
• Thevalue in 2002 was$1.720.
• The valllll in 2004 was $1.820.
You can look lor a pattern to solve lhe problem.
Make a table to organize the data.
Then study tile table to lind a pattern.
Year "" rooo """ "". """ """
Value of Stamp $1,520 $1,620 $1.720 $1.82<1 , ,
The value of the stamp increases by $100 every two years.
Uso the paltem to complete the table.
$1.820 + 100 - $1.920 $1.920 + 100 - $2.020
Solution: Tile value 01 the slamp in 2008 is likely tobe $2,020.
Look bltCk at tile problem. How can I che<:k the answer?
16
Guided Practice
Use the Ask Yourself questions to help you solve each problem.
1. The value of a rare stamp from Thailand was $130 In 1990, $150 in 1995, $170 in 2000. and $190 in 2005. Predict the value of the stamp in 2010,
2. Michelle writes the followin9 series of numbers.
0.014.0.034, -..:L.. 0.074. 0.094
~,k You"./f .~ Whatlacts do Iknow?
Can I lind a pattern?
~ Old I <lescrlbethe pattern?
~ Old I continue tl>e paltern?
~ Old I solvetl>e problem?
What is the missing numbef in the pattern?
@:l Think about the numbers jusl bela,e and just alter the missing number.
Independent Practice.
Find a pattern to solve each problem.
3. People are bidding for a rare stamp from China. The first bid is $120.000.
The next three bids are $150.000:
$180,000; and $210.000. The seventh bid is the linal bid. lIthe pattern continues. what is the final bid?
4. Carla writes the following series 01 numbers.
0.496,0.796.-..:L.. 1.396. t.696 What is the missing number in the pattem?
,. One city had a population 0118.649 in 1970. 18.446 in 1980. 18.233 in 1990, and t8.021 in 2000. Round each total to the nearest hundred. Then estimate the population of this city in 2010,
II. Create and Solve Work. with a partner. Make up a panern of 5 decimal numbers. Rewrite. leaving out one 01 the numbers in yom pallem.
Exchange patterns. Explain tile patterns and find the missing number.
Chapter 1 Lesson 6 17
Mixed Problem Solving
Solve.Showyour worll.
Tell what stralegy you uM<l.
1. Peterhas 7 United States coinsworth 53c.Whal arethe7 COl. .?
.. EIleen visitsherfamityin Iraand eo.<ery
year. During one YISil sheplanted a 3-metertree.The Ifeewas 3.4 meters
Ia" after one year. 3.8meterSlall after
1\00 years, and 4.2 meters tatl after three years. How lall will the treelikely be afterfive years?
II. Kareem received $15 in chan.ge from a Slamp dealer. Thestamps he bought were 56, sa. aod $21. How much money
did Kareem give the stamp dealer?
Data Usethe gr_ph 10~ Problem. 10-13.
Thegraph shows Blue Globe Aifs round-trip airfares fortrips belween Newyert Ci1ylind setwOO foreign cilies.
to. tk. Tanner goes 10Egypllnc:fuding his airfare from Newyert Ci1y 10 Caito.
Egypt Mr.Tanner speods atotal of
$2.500 OIl his trip. HowITIllCh does tk. Tanner spend OIlexpenses other lhan airfare?
11. Jose buys a roundãtriplicket between New York. City and Athens.Greece.
Helen buys a murtd-trip licket to a
different city that costs the same amount. Towhich city isHelell flying?
12. Souvir buysa round-trip ticket between
NewVert City and Bombay. India.
Souvir pays $600 IOWIIrds histicket.
His parents pay therest. Howmuch do his parerats plJ'/?
13. WhIlt.. Wrong? lisa estJmate$ that round-trip tickets10eaencityshown on
thegraph would COlt • total of aboot
55.000. ~ whylisa'sestimate is
"'" ~""- 18
Voua-
s-.-
o Find.p,m,em
oGo-8ndO'oed:
o UseL.ogOlR•••••J :••••••
. ..,. ...
• WriIeilf1 EquMion
CDmpuIation Me1tood
oMentalMitt>
o Estimation
o paperand ~I oCakul<ltor
Rou~Trip Alrt. . .
Problem Solving on Tests
19
Education Place