houghton mifflin math grade 5

eight hundred ninety-six 3- 26.257 Reading Words and Symbols Different ways to read and write All these statements represenllhe same number: • One ttlousand.. CONCEPTS AND SKILLS Write t

~ HOUGHTON MIFFLIN BOSTON

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New\'(Irk, NV

Dr Korol \'eon,Associate Professor

ORBlended Usage Advisor

HOughton Mimln Moth

and Moth Expr.stion

Berry Elementtl'y School

Delloil MI

Morel GoIGZ~lewJcz Norlh Bementory School VIb.Jkegan.1L

Ano Gos,porLowrie Bemenl<WySchoolEIgin.IL

Han!>'.ef A:I1l, Il

Debbie Taylor Sonot<>'lSkya.m oICI'y

-"

,

Scientists, athletes, artists, OM health care workers all use

moth avery doy-ord you will too This yoor in moth you"1I leorn about numbers, potterns, shapes, and dIfferent ways

problems and describe objects and patterns you see.

mathematician 000 about the other sh.denls in your closs.

Many of your classmates may like the same things;n

math that you like Other classmates may like

totally different things

• Think of one topic you'd like to know your

classmates' opinions about

• Write a survey question for your topic

• Conduct your survey among your

classmates

• Make a line or bar graph to show

your results

• Write a paragraph, using words and

numbers to describe your results

Include predictions about your

survey results if you surveyed

100 slUdents

Write your math autobiography by answering these questions

You can write about other experiences as well as long as they

tell about you as a math SlUdent

• What do you like best about math class?

• What are you good at in math class?

• How do you use math outside of math class?

• How do you think you might use mathematics in the fUlUre?

Problem Solving and Numbers

Review and Remember

You have worIIed before with tlole numbers,

deomals 9nd fractoons. You can USIIl the ITIlIth

lotof thongs.

Josh Micki. lllld.lana walkedin awalkBlhotl

and family to pledge an amount of money lor

Joshraaded r.s _ hec:oo,lIpIeled the

walkalhon HeM , has hewalled? Howmany

Practice and Problem Solving

YouIwfttNmed- y utE.r-sol.i1if1strMeglft

SotvoINdl utEn.EIlpl8lnwhich 8b8IeV'I'you -:I.

11. look II themapon the prew:lUS~.WhIt is

thedist.-.oe of the entirewalkathon? Howmud'!

tIrttlerooe.Josh h3Ye towalk?

long did heIlIke towalk the entireroute?

13 Mid<J and Jana ran lor partof the route Mickiran

l mile and Jana illni mile Whoran fanher? How

much farther?

14 Josh and Jaila completed Ihe 10-mile walkathon

Micki had time 10 walk only 4.75 miles Which

sectionsof the route did she walk?

15 Multistep Joslfs mother pledged$2.00 amile,

Jana's uncle pledged $1.50 a mile Howmuch did

18. Createlind SoIwe Write and soIw 8 word

plOblem USIfIg the in/ormation from the mapon

ptge 82. E.odIange WIth II~.

Milled Review and Test Prep

II. Aob8ft ate i of !hepizza and his

brother ate 1. HowITll.dl was leftlor

lheir mothIIr? p.-<OJ

Ai Bl co o}

_ _ ;Ba;;;;;"';.';;;.O School 83

Batkto 5chool ==================

Objective Review basic measuremeol skills needed

to slart tihh grade

Materials

12·inchruleryardstick

Work Together

You can use math10describe the size 01your dassroom (With yourteocher

you mayde<Xle to describe the sil:e of a smaller rectangular section01

Estimate the length and widthof your classroom in leel

Record your estimale

Decide whether you will use a yardstick or ruler to measureyour classroom Measure and record the length arK! width ofItle room Round each measurement10 the fl8arestlool

• How-close are your measurements 10your estimates?

Estimate the areaof your classroom Then use yourmeasurements10find the area 01 the classroom

• Howdo you lind the area01 a rectangle?

• Howdo you label area?

• How close was your estimate to the actual area of your classroom?

84 Bacll to School

On Your Own

4 Dmw a sketch at your classroom Use the measurements

in your chari to label each skle 01 your sketch

5 Use your sketch end measurements to lind theparmeter

01 your classroom

U .centlmeteflll1dPl'per lor P~m.&-11

perimeterand area 01 the rectangle

7 Drawanolher rectangleWIth the$lUTIe IIfN

bul diIIerent IengItI andwidth Labellhe

length. wdh, and perimeter

What isthe area 01 • rectangIa !tIat has

rectangle al the~?

What isthe pati,.ter01'. rectangle wilh

in P,ttiam 8?

10 You818 expIa"'g 10 • youngerstudenl how10choose the

beSl measuring nstrumenl lor • project Forwhichtypes 01

models for the I100rs 0I1wOclassrooms.Which rectangle do

so Use lhe words Ieoglh. widrh. perimeter, and area in your

explanation

Back to School 65

-Science Connection

Meet the Eagles

&gles _ largetwds thai lJSUllIty build

lheIf nests near!heIOJl' oftall trees.Many

eagle habitats ' - been destroyed

though aspeople haveCUI down forests to

thll United Stales,

In JIlIIe 2002 foor babyeagles flew on an

airplane to New Yor1< City as pan of a

b<aYe e!!perimenl Scientists were hoping

• verydifferent hablUlll

Try These

z Make a line gqph of thedata USWl{I ill

grid like thISone.

e.gle hirs inthe

Place Value of Whole Numbers

and

Decimals

page 2

Here are some math vocabulary words that you should know.

2 The sum of 3.333 and 197 is 3.530.

ltle answer in subtraction

tile answer in addition

determines the value 01 the digit

to find about how many or abouthow much by expressing a number

tothe nearest len, hundred, thousand

and so onrounding

.m

1. two thousand eight hundred

ninety-six

3- 26.257

Reading Words and Symbols

Different ways to read and write

All these statements represenllhe same number:

• One ttlousand two hundred thirty-four

• (1 X 1,000) + (2 x 100) + (3 x 10) + (4 X I)

• 1,234

In mathematics numbers and computation with

Jlumbers can be read and wrillen in different ways

Reading Mathematics

aa a

Read "The Most Amazing Sights

in Nature" on pages 6~9.

Then work with II partner to

answer questions about the story

•

Starling Unit 1 Reading Mathematics 1c

7 CaICl,llale the sum of 626 and 321.

To calculate you use II m3lhematiC<lloperation to find an elUlct answer

+

• Education Place

5 Which number represents the sum of

these sets of blocks?

Choose the correct IInswer lor each.

Approximate means to use estim3lion to

find the anwer

Reading Test Questions

Watch lor Ihese words in this unit.

Write their definitions In your Journal

~H

Represents means ·stands for: or ·shows:

or -names.'

\ INVESTIGATION

Use Data

In which age group will you be in United Stat•• Popul.tlon

202O? Use thedata and what you r-;;~~I~~~~~~~~~Age 2000 2020 (Proje<:llOd)

know about place value to describe

howthe population seems to be 0 19 80.549.000 86.687.000

group isprojected to grow the ~ andover 35.061.000

most? Which groupis projected to

grow the least?Whydo you think

this is so?

'.

.e Use What You Know

Use this page to review end rememberwhat you need to know lor this chapter

VOCABULARY

Choose the best word 10 complete each $enlen~.

1 In a number each group of 3 digits separated by a

3 The of"two hundred seventeen" is 217.

CONCEPTS AND SKILLS

Write the place value 01 the 7 In each number

18.41,997 41,987

111 5.51

5.49

20 Why are Ihe zeros ;mpol1301 io 206.905?

• _ TIll 1/1 Us1eo 0I'IIl~s"'od

Place Value Through Hundred Thousands

Objective Read and Wlita numbersIMlogh horl<lred

thoosands In slallda,d end e>.pand9d 101m.

i , ,

Learn Aboul II

Saint Lucia is located in the Caribbean Sea In 2001.

the population of Saint Lucia was 158.178

Look atthe chan The ~alue of a digit in a number is

detennined byits place, For example the first 8 from

the left in 158.178 has a place value of 8.000.The

second 8 has a place value of8.

In a number each group of 3 digits from right to left

called a period is separated by a comma

- (1 x 100,0(0) + (5 x 10.000)

+ (8 x 1.0(0) + (1 x 100) + (7 x 10)+(8x 1)

Waye You can use word lorm Way 0 You can use short

onehundred fifty·eight thousand word form.

onehundred seYenty·e~hI 158 lhousarld 178

bplain Your Thinking In Exercise 1 how did YO" decide in which

places to write the digits 4 and 5?

4

Practice and Problem Solving

Write each nllmber in standard form

7 one hundred fo"y thousand four

11 What was the population of Nauru in

2004? Write the word name for the

number

18 Write the population 01 San Marino in

e~panded form Is this greater or less

than 20.ooo? Use expanded lorm to

e~plain your answer

Ill Suppose the population of Palau

new population? Use place vahle to

explain your answer

20 Suppose the population of Palau

new population? Use place value to

explain your answer

Mixed Review and Test Prep

Least Populated Countries In 2004

More About

Place Value

Objective ANd ->d wrihl numbers Ihrough hl.w"Id<ed

lI>ousands wiIh e ;>onenl$.

Learn About It

Ashort way to write the product 10 x 10 X 10 X 10 x 10

is lOs To read lOs, say "ten to the fiflh power." The 10 is

lhe factor Ihal is repeated in the product Tile exponent

shows the number of times the base is used as a factor

1,000_10'

100 _ 10'

10 _ 10'

1 _ 10"

The place-value chart above shows each place as a power 01 ten.

You can use powers of len to write numbers in expanded form

Way 0 You can use expanded form

Guided Practice ~Yourse/f

Use exponents to write each number In expanded form

• Whal pow<H" 01 too

repfesoots the

lI"'al"'" placevalue?

Explain Your Thinking In Exercise 2 how did you decide how to

represent the value of the digit 7 in expanded form?

Practice and Problem Solving

Use exponents to write each number in expanded form

33 - 27

32- 3' =.

:J<'=.

13 4~ = f.0244' _ 256

5° = •

X Algebra. Equations What is the val e of rtin eaeh eqllation?

Solve

10 What's Wrong? The paper shows

Celine's woO< What did Celine do

wrong?

how can you tell which number is

Mixed Review and Test Prep

rOpen Response

SUbtract.(G<a<lo 4)

21 16 - 9 22 17 - 6

Place Value Through Hundred Billions

Objective ANd ->d Wlil<l numbers

ltIroogh hundred billions ,starw:latdande><pande<:l!Qr0\$.

Learn About It

In 2001 the population of China reached

1273.111290 What are some different

ways to write this number?

B~Uon! : MIllions _u_ "'-,-J

WayO You can use standard lorm

1,273,111,290

WayE) You can use e~pandedlorm.

(1 x 1.000,000,000) + (2 x 100,000,000) + (7 )( 10,OOO,OOO) +

(3 x 1,000,000) + (1 )( 100,000) + (1 x 10,000) +(1 X 1.000) +(2 x 1(0) + (9)< 10)

WayE) You can use expanded form with exponents

(1 x 10~ +(2 x lOS) + (7 X 10') + (3 x lOS) + (1 X 1()5) +(1 X 10') + (1 X 10') + (2 x 10") + (9 x 10')

ona billion, two hundred seventy-three million one hundred eleventhousand 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

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

Start from the left, compare thedigits until they are different

18,066,00018,131,00018,131,000> 18,066,000

.,

o

Une up the numbers by pt3ce value

18,066.00018,131,000

_ _ _ IIlUsteo _ _

Compare, Order, and

Round Whole Numbers~=",

The map shows the populations of some of the

world's largest metropolitan areas in the year

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"Islesst ,·

> is read "Is ll'''''le, than"

is lhe grealest

oomber

",'''''' Continue compe,irlg

e 16.640.000 7 617.755,000

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

digit to 1he right

.,.1b If the digit to the right is 5 or

o greater increase 1he roundingplace digit by 1.U the digit isless than 5.do not change therounding place digit Thenreplace all digits to the right with

• Where arethedigits dillo,ent?

• WlIatistt>o digitto1he''I1't

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 •

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.

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 thesame 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{kCitySAoPaulo

Projected PopulationlortheY""r :WIS26.138.00019.180.00017.432.00020,397.00026.444,000

-gJP@,WODi - - - -:

-:

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

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

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 p1ace·value 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

WOfdIorm:two hundred leurleen thousandths L dlK:imal pcO!11

Shorl W()(d Iorm: 214 thousandths Thelastdigitall It>& decimal point

leUS IlOWtoname1tIOl deeimalparts,

Another Example

Write each in standard form

Write each decimal In word form

• HowcanIuse the- Qfd rwne 10 fir<! th& last place

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

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

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

Ema Practice seepage 25.SetE.

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

• 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

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

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

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 leavingout one 01 the numbers in yom pallem.Exchange patterns Explain tile patternsand find the missing number

Chapter 1 Lesson 6 17

Mixed Problem Solving

Solve.Show your worll

Tell what stralegy you uM<l

1 Peterhas 7 United States coins worth

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 after five 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 New yert Ci1ylind setwOO foreign cilies

to tk Tanner goes 10Egypllnc:fuding his

airfare from New yert Ci1y 10 Caito.

Egypt Mr.Tanner speods a total of

$2.500 OIl his trip HowITIllCh does

tk Tanner spend OIlexpenses other

lhan airfare?

11 Jose buys a round·triplicket 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

New Vert City and Bombay India.

Souvir pays $600 IOWIIrds histicket

His parents pay therest Howmuch

do his parerats plJ'/?

13 WhIlt Wrong? lisa estJmate$ that

thegraph would COlt • total of aboot

55.000. ~ whylisa'sestimate is

Problem Solving on Tests

d After you c:ornplete 'fOOl"budget.you

Ieam that the IICIOI"S wMt the IOtaI 01

theirsalariesto be lwioe thedn:lclor's salary Revise 'fOOl" budgetto keep theactors happy

c How much will the oostumesand

"""'Y """

• De<:ide how much mOIlOY the actors

will make.

5 You are the new ' - I oil mcMe Sludio!

YOOl fll"Sl piaurewil cost 525.000.000.

Thedirector'ssalaIy rntI$l beless thanthe combined salaries01 01 the

acIOIS.Costumes and scetlel'lwill cost

more than the direclo(l salary but lessthan therombiood salaries 01 aM theactors You must keep $2.500.000 aside

in case 01 emergencies You must spend

Ihe eIltire $25.000.000

;i

;i

i •• • • •• • • • • • ~~

,

;i

;

,

;

;i

4. TheOr;;ma Club YOl:ed 10 decidewhich

play 10produce One foul1tI 01 thedub

voted lor The Music M.'nThe dub has

24 members How manymembers YOl:ed

lor The MusicMad1

2. Measuremetlt At amuseum a short

film starts every45 minutes OnSaturday

the fll"Sl film start:s at 10:00AM. What

time does the fifth mcMe Slaft?

I. N~ boughl 8 $UIITIJIS and gave away

3 stamps Then she bought 4 more

stamps and sold 2 $Ulmps After buying

3 more stamps NJoa had 47 stamps.

How many stamps did Nina start with?

SOlve elK:h problem

i

Choosethe letterof the correet answer ;

ttlCOITedIn._Isnot he~.c:hoose NH i

;i

;l

j

i i i

,; ~ i

j

._~;.~;.;:.;j,;;,.; -di1J 1I.Usl<n _

Compare, Order, and Round Decimals

Objective Com,:>are, order lind fOUnd doldnIaIs,

Learn About It

Which of the numbers at the right is greater?

Compare 0.5 lind0.25.

Way 0 You ClIn use1I number line

0.5 is to the rightof 0.25 $0 0.5>0,25 00 0.25 I

Way 0 You ClIn compllre digits

STEP 1 Align the decimal points STEP 2 Staft from the left Compare the

digitS until they are different

0.50

0.25

Solution: 0.5 is greater than 0.25

Order 4, 4.32, and 4.317 from greatesllo least

0.50

0.25 Since 5 > 2, 0.5 > 0.25

You can use what youknow to order three or more decimals

'01

£.,0 Align the oeeimal ~n Start !Iom the left

points Write zeros 0 Compare the digits

4.000 0

4.3204.317

Round 0.607 to the nearest hundredth.

0.607 is closer to 0.61 lhan to 0.60 "~ "~ t O.al

0.607

WayO You can use rules for rounding decimals

STEP 1 IdenlWy the place STEP 2 Look al the digit10 STEP 3 If that digit is 5or

you want10round 10. its right greater increase lhe

rour.ding·place digit by t.

I I 00placenotdig~.changeThen drop allthe rounding·

rounding ~ce digntolhe right

digitsto the right

Order the numbers tram greatesllo least,

Compare Write >, <, or =for each • •

1.0.45.0.88 2 0.6 • 0.006 3.4.153.4.2

• [);d I 819'l!le decimalpoints?

• WhooI "'81h& digits _em?

• Whal is It>e digillO the right

01the r<Uldingplace?

4 0.0825; 0.56; 0.8 $. 1.3; 1.52; 2.08

Round to the pla<:e of the underlined digit

8 0.0.e,5 7. 0.512 8.0.1!5 9 ;1.957

Explain Your Thinking" How does aligning the decimal points

help)lOu compare decimals?

Chapter 1 Lesson 7 21

Practice and Problem Solving

Compare Write >, <.or '" lor each e.

311 Australia has 2.5 persons per square

kilometer Mongolia has 1.7 persons per

square kilometer and Namibia lias2.2

persons per square kilometer Order the

countries from least to most crowded

41. Robin weighs a bunch of green grapes

and a bunch or red grapes on a digilal

scale The green grapes weigh 120.308

grams and the red grapes weigh

120.381 grams Which bunch of grapes

weighs less? Explain

40. Represent Suppose a 10 x 10 gridrepresents the number 1 Use 10 x togrids to represent the numbers t.24and 1.05 Explain how you can use thegrids to compare the two numbers

42. Many libraries use the Dewey DecimalSystem to classify and order books.Books are shelved from lowest numbers

to highesl numbers Three books arenumbered 1.97t.l.978.and 1,97

Which book should be first on theshelf?

Mixed Review and Test Prep

Open Response

Round each number to the place indicated

Multiple Choice

Our numbel" system is just one way to write

numbers The Romans created a number

system usillg symbols called Roman numerals

To read Roman numerals, follow Ihese rules:

• Add Ihe numerals from left to right

• If a numeral has a value that is less than

numerals Then continue to add

6 Explain the similarities and differences

between our decimal system and

Roman numerals

~ Chapter Review/Test

VOCABULARY

1 In the number lOS the 5 tells how many times 10is used as

thefactor 1\ is called the '

:l. Inthe number lOS the 10 is caled the ,

3. A numberwritten WI shows thevalue of each digit

CONCEPTS AND SKIUS

Wrftt e ::11 number in standard form.~HI ",-<HI.

• two hundred twoand tweI1ly-twohundredUis

UMuponent, to write each number in .~~ncledform ' '""2-3.",- ~

20. The lilelllbelship of the localstamp

QOIedon' club iilOeasedsteadily in pasl

years. In2OCI3 !herewere 21 mernbeB:

Show You Undentand

ExplainthediHerence in YltIoeof

each digil:in !henumber 1.111.111.