Using Decimals for Large Whole Numbers 1 - · PDF fileGuiDED You will need • Place Value Charts (to Billions) (BLM 2) • Internet access or Millions and Billions (BLM 1) Pathway

OPEN-ENDEDPathway 1

You will need•Internetaccess,or

MillionsandBillions(BLM1)

•PlaceValueCharts(toBillions)(BLM2)

ApopularTVshowhadabout12.3millionviewersinonenight.

12.3millionisbetween12millionand13million.

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13 million12 million 12.3 million

Theplacevaluechartbelowshowsthat12.3million,writteninstandard form,isthewholenumber12300000.

Toexplainwhyyoucanwriteawholenumberusingadecimal,youcanthinkof1millionas1unit.– The12in12300000is12million,soitis12units.– The3in12300000is3tenthsof1million,or0.3units.

Billions Millions Thousands Ones

H T O H T O H T O H T O

1 2 3 0 0 0 0 0

Part A

• Find3numbersthatarewrittenasadecimalnumberofmillions.– Tellwhateachnumberdescribes.– Writeeachnumberinstandardform.– Explainhowyouknowyouareright.

Decimal number of millions and what it describes

Standard form

How you know

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ISBN: 0-17-635153-1FNCO Dave McKay Illustration

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Using Decimals for Large Whole Numbers

standard formtheusualwayweseeandwriteanumber

Copyright © 2012 by Nelson Education Ltd.1

Leaps and Bounds UsingDecimalsforLargeWholeNumbers,Pathway1

Leap SR 7-8_Topic 1.indd 1 2/25/12 2:46 PM

• Find2numbersgreaterthan1millionthatarewritteninstandardform.– Tellwhateachnumberdescribes.– Estimatethedecimalformofeachusingunitsof1million.

Standard form

What it describes

Estimate in decimal number of millions

Part B

• RepeatPartAfor3numberswrittenasadecimalnumberofbillions.

Decimal number of billions and what it describes

Standard form

How you know

• Repeatfor2numbersgreaterthan1billionwritteninstandardform.

Standard form

What it describes

Estimate in decimal number of billions

Part C

• Writeall10numbersfromPartsAandBinorderfromleasttogreatest.Explainyourthinking.

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Leaps and BoundsUsingDecimalsforLargeWholeNumbers,Pathway1


GuiDED

You will need•PlaceValueCharts

(toBillions)(BLM2)•Internetaccessor

MillionsandBillions(BLM1)

Pathway 1

Recently,agoldanddiamondsmartphonecasehadapriceof$3.2million.

3.2millionisanumberbetween3millionand4million.

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4 million3 million 3.2 million

• Youcanseefromtheplacevaluechartbelowthat3.2millionwritteninstandard formisthewholenumber3200000.

Toexplainwhyyoucanwriteawholenumberusingadecimal,youcanthinkofonemillionasoneunit.– The3in3200000is3million,soitis3units.– The2in3200000is2tenthsof1million,or0.2units.



3 2 0 0 0 0 0

• Youcanwritesomeverylargenumbersusingabillionsunitinsteadofamillionsunit.

Forexample,4650000000is4.65billion.The6in4650000000is0.6,or 6

10ofthebillionsunit.

The5in4650000000is0.05,or 5100ofthebillionsunit.

So,the65in4650000000is0.65units.



4 6 5 0 0 0 0 0 0 0

• Whatis3.28millionwritteninstandardform?Howdoyouknow?

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110

Using Decimals for Large Whole Numbers


• Youcanwritelargewholenumbersindecimalformtofocusonthedigitsthatmattermost.Readingthisformisusuallyquickerthancountingallthezeros.

Remember1

1001

10




Try These 1. Showeachnumberinstandardformontheplacevaluechart.

a) 4.5million Billions Millions Thousands Ones


b) 12.0million Billions Millions Thousands Ones


c) 4.13billion Billions Millions Thousands Ones


d) 0.5billion Billions Millions Thousands Ones


2. Writeeachnumberinstandardform.

a) 7.12billion

b) 7.8million

c) 13.24million

d) 12.23billion

3. Writeeachnumberusingadecimalnumberofmillionsorbillions,whichevermakesmoresensetoyou.

a) 12345000

b) 500000

c) 1200000000

d) 314120000000


Leaps and BoundsUsingDecimalsforLargeWholeNumbers,Pathway1


4. Use.or,tomakeeachstatementtrue.

a) 4.1million 3.24million

b) 5.3million 0.9billion

c) 1.23billion 9.0billion

d) 0.01billion 12.4million

5. Inwhichnumberisthedigit5worththemost?Howdoyouknow?

4.5billion 5.1million 5.4billion

6. Fillintheblanks.Usetheplacevaluecharttohelpyou.

a) 4.2million5________thousand

b) 0.6million5________thousand

c) 2.13billion52130________________



7. Ofthe7.0billionpeoplewholiveintheworld,about1.3billionliveinChina.Findatleast3morereal-worldnumbersthatareexpressedasdecimalmillionsorbillions.Tellwhateachnumberdescribes.

8. Whyarepeoplemorelikelytowrite3100000as3.1millionthantowrite3100as3.1thousand?

Inthemedia,largewholenumbersareoftenwrittenusingdecimals.

FYI




OPEN-ENDEDPathway 2


(toBillions)(BLM2)

About111millionpeoplewatchedtheSuperBowlonTV.

111millioncanbewritteninstandard formas111000000.



1 1 1 0 0 0 0 0 0

• Whydoesitmakesensethatthenumberofviewerswasabout111millionandnotabout111billion?

Part A

• Write5numbersthatarecloseto111million.– Writeeachnumberinstandardform.– Includethedigits3,5,7,and9onceineachnumber.

Youcanuseotherdigitsaswell.– Includenumbersthataregreaterthan111millionand

numbersthatarelessthan111million.

• Tellhowyouwouldreadeachnumber.

Representing Millions and Billions



Leaps and BoundsRepresentingMillionsandBillions,Pathway2


• Explainhowyouknoweachnumberiscloseto111million.

Part B

• Write5numbersthatarecloseto278billion.Includenumbersthatarelessthanandgreaterthan278billion.

• Tellhowyouwouldreadeachnumber.

Part C

• Writeall10numbersfromPartsAandBinorderfromleasttogreatest.Explainyourthinking.

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Leaps and Bounds RepresentingMillionsandBillions,Pathway2


GuiDEDPathway 2


(toBillions)(BLM2)•MillionsandBillions

(BLM1)

WhenKaiwasborn,thepopulationofTorontowas2503281.

Thenumber2503281isinstandard form.

Thespacesinthestandardformofthenumberseparatethebillions,millions,thousands,andonesperiods.



2 5 0 3 2 8 1

Youcanusetheperiodsandtheplacevaluecharttoread,interpret,andrenamelargenumbers.

• Youcanread2503281as2 million 503 thousand 281.

• Youcanestimatethat2503281isabouthalfwaybetween2millionand3million.

• Youcanrename2503281as2million1503thousand1281.

• Youcanalsorename2503281inotherways.1million51000thousandSo,250328152000thousand1503thousand1281

52503thousand1281

• Useaplacevaluecharttohelpyouread250000003281.

Try These 1. Whatisthesameandwhatisdifferentinhowyouwouldread

2500030and2005300?

same:

different:

Representing Millions and Billions


periodagroupof3placevaluecolumnsbasedonhundreds,tens,andonesofthesameunit




2. Writeeachnumberinstandardformonaplacevaluechart.

a) 22million312thousand21



b) 3million8thousand12



c) 17billion12million34thousand



d) 100billion32thousand



3. Circlethegreaternumberineachpair.

a) 89hundredthousand121 2billion

b) 153million132thousand 1billion

c) 110million 312thousand

d) 42million 42hundredthousand

4. Estimate.Useaplacevaluecharttohelpyou.

a) 4128756isabout________________million.

b) 4128756isabout________________thousand.

c) 1834567109isabout________________billion.

d) 1834567109isabout________________million.




5. Writeanumberinstandardformforeachdescription.

a) 1hundredthousandmorethan2348172

b) 3millionmorethan152417

c) 1billionmorethan3425617

d) 2millionmorethan8413465

6. Howmanydigitsareinanumberthatbeginswitheachphrase?

a) 42million… ________

b) 250million… ________

c) 20billion… ________

d) 300thousand… ________

7. Inwhichnumberisthedigit5worththemost?Howdoyouknow?

53143200 153787 5203412111


a) 4000003 1000000003

b) 3045020 3450200

c) 2781235 2781532

d) 4528134 528478

Explainyouranswertopartd):

9. Fillintheblanks.

a) 4million5____________thousand

4million5____________hundredthousand

b) 2billion5____________million

2billion5____________hundredmillion

Beingabletowritenumbersindifferentwayscanbehelpfulwhenyouperformcalculations.

FYI




10. Use,or.tomakeeachstatementtrue.

a) 30million 40hundredthousand

b) 25million 260hundredthousand

c) 8billion 9000million

d) 2billion 200million

Explainyouranswertopartd):

11. TheworldpopulationonFebruary28,2011,was7090669275.Onthesameday,thepopulationofChinawas1319175336.Describe2otherreal-worldvaluesthatwouldlikelybeexpressedinbillionsormillions.

12. Decidewhetheryouagreeordisagree.Explainyourthinking.

a) Anynumbergreaterthan1billionismorethan900million.

b) Anynumbergreaterthan1millionislessthan1billion.

c) Anynumberofbillionsisalwaysgreaterthananynumberofmillions.

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Sun. Mon. Tues. Wed.February 2011

Thurs. Fri. Sat.1 2 3 4 5

7 8 9 10 11 12

14 15 16 17 18 19

21 22 23 24 25 26

6

13

20

27 28




OPEN-ENDED


(toHundredThousands)(BLM3)

Pathway 3Representing Six-Digit Numbers

Acarcompanyhadtorecallabout750thousandcarstohavethetransmissionschecked.

750thousandwritteninstandard formis750000.

Hundredthousands

Tenthousands

Thousands

Hundreds

Tens

Ones

7 5 0 0 0 0

• Write5numbersthatarecloseto750thousand.– Writeeachnumberinstandardform.– Usethedigits3,5,7,and9atleastonceineachnumber.– Includenumbersgreaterthan750000andlessthan750000.

• Suppose100fewercarsthan750000wererecalled.List5numbersthatareclosetothatnumber.Useanydigits.

• Writeall10numbersaboveinorderfromleasttogreatest.Explainyourthinking.



Leaps and BoundsRepresentingSix-DigitNumbers,Pathway3


GuiDED


(toHundredThousands)(BLM3)

In2006,thepopulationofEdmontonwas730372.

Thenumber730372isinstandard form.

Thespaceinthestandardformofthenumberseparatesthethousandspartofthenumberfromthepartthatincludesthehundreds,tens,andones.

Hundredthousands

Tenthousands

Thousands

Hundreds

Tens

Ones

7 3 0 3 7 2

Youcanusethe2partsofthenumbertoread,interpret,andrenamelargenumbers.

• Youcanread730372as730 thousand 372.

• Youcanestimate730372asabout730thousand.

• Youcanrename730372as730thousand1372.

• Usetheplacevaluecharttohelpyoureadthenumber503020.

Try These 1. Whatisthesameandwhatisdifferentinhowyouwouldread

402030and420030?

same:

different:

Representing Six-Digit Numbers Pathway 3



Leaps and Bounds RepresentingSix-DigitNumbers,Pathway3


2. Writeeachnumberinstandardformonaplacevaluechart.

a) 300thousand78

Hundredthousands

Tenthousands

Thousands

Hundreds

Tens

Ones

b) 420thousand10

Hundredthousands

Tenthousands

Thousands

Hundreds

Tens

Ones

c) 10thousand312

Hundredthousands

Tenthousands

Thousands

Hundreds

Tens

Ones

3. Circlethenumberineachpairthathasmoredigitswhenwritteninstandardform.

a) 58hundred 22thousand

b) 20tenthousand 80thousand

c) 6hundredthousand 50hundred

4. Estimate.Useaplacevaluecharttohelpyou.

a) 562103isabout________hundredthousand.

b) 493127isabout________hundredthousand.

c) 213856isabout________thousand.

d) 478100isabout________thousand.

5. Writeanumberinstandardformforeachdescription.

a) 100000morethan203652

b) 10000lessthan243652

c) 8000morethan483622

d) 5000lessthan453000


Leaps and BoundsRepresentingSix-DigitNumbers,Pathway3


6. Inwhichnumberisthedigit5worthmost?Howdoyouknow?

503207 953218


a) 202020 92999 c) 882135 885134

b) 410014 140410 d) 711234 79929

8. Supposethenameforawholenumberincludesthesewords:

twenty thirty thousand hundred four two

Howmanydigitsmightthenumberhave?Explainyourthinking.

9. Howmany$100billsiseachamount?

a) $20000is____________$100bills.

b) $530400is____________$100bills.

c) $300000is____________$100bills.

d) $904900is____________$100bills.

10. Describe2ormorereal-worldsituationsthatmightinvolvenumbersinthehundredthousands.Considerpopulationsormoneysituations.

LB56SR


T01-F01-LB78SR

dhmPass First Pass 110801ApprovedNot Approved

Beingabletounderstandlargenumbersisuseful,sincelargenumbersappearfrequentlyinthemedia.

FYI


Leaps and Bounds RepresentingSix-DigitNumbers,Pathway3


Documents

Using Decimals for Large Whole Numbers 1 - · PDF fileGuiDED You will need • Place Value Charts (to Billions) (BLM 2) • Internet access or Millions and Billions (BLM 1) Pathway