5th Grade Decimal Concepts - Weebly
decimal concepts.notebookFebruary 19, 20155th GradeDecimal Concepts2014 08 15www.njctl.orgTable of ContentsWhat is a Decimal?Identify Place ValuesRead and Write DecimalsCompare & Order DecimalsRound Numbers to Designated Place ValuesGlossaryClick on a topicto go to that section.
decimal concepts.notebookFebruary 19, 2015The charts have 4 parts.1FactorVocab Word2Its meaningA whole numberthat can divide intoanother numberwith no remainder.153A whole numberthat multiplies withanother number tomake a third number.5 R.13 1653 is a factor of 153Examples/Counterexamples(As it is usedin thelesson.)3 x 5 153 is not afactor of 163 and 5 arefactors of 154Link to return to theinstructional page.Back toInstructionVocabulary words are identified with adotted underline.Sometimes when you subtract the fractions,you find that you can't because the firstnumerator is smaller than the second! Whenthis happens, you need to regroup from thewhole number.(Click on the dottedunderline.)How many thirds are in 1 whole?How many fifths are in 1 whole?How many ninths are in 1 whole?The underline is linked to the page in the presentation'sglossary containing the vocab chart.
decimal concepts.notebookFebruary 19, 2015What is a Decimal?Return toTable ofContentsWhat is a decimal number?A Decimal Number (based on thenumber 10, tenth parts, and powersof ten) contains a Decimal Point.Click to find out!
decimal concepts.notebookFebruary 19, 2015Where do we see decimals being used?Click on the photo to find out!In races to show speed.The women's record for thefastest 100 meter dash is10.88 seconds.Music Stationsthat show theirradio frequencyin decimals.In baseball, battingaverages are indecimals. MiguelCabrera has abatting average of0.387With money toshow dollarsand change.This shows 6.91.And many other places!Why do we need decimals?Decimals are used in situations when more precisionis needed.For instance, when two people crossthe finish line, someone will win by afraction of a second. We show thosefractions as decimals.If you are spending money, manythings are not worth an exact dollaramount.
decimal concepts.notebookFebruary 19, 2015Click on the picture below for an interactive number line.Identify Place ValuesReturn toTable ofContentsTeacher NotesLets take a look at decimals on a number line.Pladdsectshodecimnumbtwo whlook aa
decimal concepts.notebookFebruary 19, 2015Our place value chart is almost like a mirror image, witha line between the ones place and the decimal point.thousands hundredstensones.tenthhundredth thousandthsPlaceValueChartTeacher NotesEverything to the left ends in "s" andeverything to the right ends in "ths"
decimal concepts.notebookFebruary 19, 20151 What digit is in the thousandths place?Answer987,654.0123A7B2C3D82 What digit is in the tenths place?Answer987,654.0123A1B4C0D5
decimal concepts.notebookFebruary 19, 20153 What digit is in the hundredths place?A5B0C1D2Answer987,654.0123TenthsHow many yellow rodsare needed to fill the blueblock? 10clickWhat is the value of a yellowrod? one tenth (0.1)clickBlue BlockOne Unit(1)Teacher NotesYellow Rod
decimal concepts.notebookFebruary 19, 2015Think of it in terms of money.How many dimes does it take to make a dollar?dimes 1 dollarSo, a dime is one tenth of a whole dollar.HundredthsYellow RodRed BlockHow many red blocks are needed to fillthe blue block? 100(Hint: Fill a yellow rod with red blocks)What is the value of a red block?one hundredth (0.01)clickBlue BlockOne Unit(1)Teacher Notesclick
decimal concepts.notebookFebruary 19, 2015Think of it in terms of money.How many pennies does it take to make a dollar?pennies 1 dollarSo, a penny is one hundredth of a whole dollar.So a dollar is a whole.A dime is a tenth.And a penny is a hundredth.one.tenthhundredthWhat if we had a coin that was smaller than a penny?How many times smaller than a penny do you think itwould be?What would you call it?
decimal concepts.notebookFebruary 19, 20153 yellow rods 0.3three tenthsBlue One Unit23 red blocks 0.23twenty three hundredthsBlue One Unit
decimal concepts.notebookFebruary 19, 2015Interactive Number Grid Use to Show DecimalsTeacher NotesClick to Go to Interactive SiteIf the square equals one whole, what does the shaded arearepresent?Answer4
decimal concepts.notebookFebruary 19, 2015If the square equals one whole, what does the shaded arearepresent?6If the square equals one whole, what does the shaded arearepresent?AnswerAnswer5
decimal concepts.notebookFebruary 19, 2015If the square equals one whole, what does the shaded arearepresent?8If the square equals one whole, what does the shaded arearepresent?AnswerAnswer7
decimal concepts.notebookFebruary 19, 2015Lets look at place value using money again.thousands hundredstensones.tenthhundredthdimepennypennies 1 dimedimes 1 dollar bill1 dollar bills 1 ten dollar billten dollar bills 1 hundred dollar billWhat do you notice about place value?Place ValueAs you look at the place value chart, how many times doesthe value of the number decrease as you go to the right?Each place has a value that is one tenth ofthe value of its placeits left.Click toto reveal
decimal concepts.notebookFebruary 19, 201510 tens 1 hundred10 ones tenone x 10 ten x 10 1 hundred x 10 1 thousand.Lets look at place value using money again.thousands hundredstensones.tenthhundredthdimepennyA hundred dollars is times as much as ten dollarsA ten dollars is times as much as a dollarA dollar is times as much as a dimeA dime is times as much as a pennyWhat do you notice about place value?Teacher NotesLets take a closer look at what happens as wemove to the left on the place value chart.
decimal concepts.notebookFebruary 19, 2015Place ValueAs you look at the place value chart, how many times doesthe value of the number increase as you go to the left?Each place has a value that is 10 timesthe value of its Clickplaceto the right.to reveal1 hundred1 thousand10 ten10 1 hundredten10 one10 ten10 1Teacher NotesLets take a closer look at what happens as wemove to the right on the place value chart.
decimal concepts.notebookFebruary 19, 2015Lets use place value to compare decimal #s.standard formword form.tenthshundredths33thirty three hundredths0.3 0.03expanded formThe 3 in the tenths place is ten times asmuch as the 3 in the hundredths place.standard form.word formexpanded formtenthshundredths44forty four hundredths0.4 0.04The 4 in the hundredths place isone tenth the 4 in the tenths place.Teacher Notes.
decimal concepts.notebookFebruary 19, 20159 In the number 3.33, the digit in the tenths place isone tenth of the digit in the hundredths place.FalseAnswerTrue10 In the number 11.111, the digit in the thousandthsplace is one tenth of the digit in the place.B tenthsC hundredthsAnswerA ones
decimal concepts.notebookFebruary 19, 201511 A digit in the ones place is 100 times as much as adigit in the place.AnswerA onesB tenthsC hundredthsB 10 timesC 1/100D 100 timesFrom PARCC sample testAnswer12 The value of the 6 in 26.495 isthe value of the 6 in 17.64.A 1/10
decimal concepts.notebookFebruary 19, 201513 The value of the 3 in 0.931 isthe value of the 3 in 0.384A 1/10C 1/100D 100 timesAnswerB 10 timesFrom PARCC sample test23What does each line, between the whole numbers2 and 3, represent on this number line ?Label the number line.Teacher NotesDecimals on the number line
decimal concepts.notebookFebruary 19, 2015Decimals on the number line3233What does each line, between the whole numbers32 and 33, represent on this number line ?Label the number line.Decimals on the number line4.34.4What does each line, between the decimalnumbers 4.3 and 4.4, represent on this numberline ?Label the number line.
decimal concepts.notebookFebruary 19, 201564Decimals on the number line0.63.0What does each line, between the decimalnumbers 0.63 and 0.64, represent on this numberline ?Label the number line.National Library of Virtual ManipulativesClick to go to web site.Change Places to"Decimals"at the bottom left.Zoom in todrag the dotmoreprecisely.
decimal concepts.notebook14February 19, 2015Which letter corresponds to the number 4.4 on thisnumber line?10A BC DAnswer0Which letter corresponds to the number 6.8 on thisnumber line?0AB CD10Answer15
decimal concepts.notebook017ABCD1AnswerWhich letter corresponds to the number 0.8 on thisnumber line?Which letter corresponds to the number 7.2 on thisnumber line?7ABC D8Answer16February 19, 2015
decimal concepts.notebook19 ADC20B CDAnswerA54Which letter corresponds to the number 324.5 on thisnumber line?3219BAnswerWhich letter corresponds to the number 19.3 on thisnumber line?3218February 19, 2015
decimal concepts.notebook20February 19, 2015Which letter corresponds to the number 5.35 on thisnumber line?5.3BC5.4DAnswerAWhich letter corresponds to the number 1.08 on thisnumber line?1 ADBC 1.1Not plotted on this number lineAnswer21
decimal concepts.notebook22February 19, 2015Which letter corresponds to the number 6.23 on thisnumber line?6.2CB6.3AnswerANot plotted on this number lineDWhich letter corresponds to the number 17.4 on thisnumber line?17.1DABC17.2Not plotted on this number lineAnswer23
decimal concepts.notebookFebruary 19, 2015Read & WriteDecimalsReturn toTable ofContentsIn this unit, we will be working with numberswritten in standard, word and expanded form.Lets review each.
decimal concepts.notebookFebruary 19, 2015Word FormWord form is simply the number written using wordsinstead of digits, commas, and a period when edths thousandths038451Word Formthree and four hundredthstwo and three hundred fifty one thousandthseight tenthsTo read decimal numbers we:1. Read the number to the left of the decimal2. Say "and" for the period3. Read the number to the right of the decimal4. State the place value of the last digit.
February 19, 2015ndthousaten ndousaten thhundmillionred thousanddecimal concepts.notebook9, 8 7 5, 6 1 0 . 4 7 9This number is read:Nine million, eight hundred seventy five thousand, six hundred tenAND four hundred seventy nine thousandthsRemember the place values after the decimal point start hshundtens5tenth3and24ones5ssdredhunthousandsCan you read the number?91
decimal concepts.notebookFebruary 19, 2015Teacher NotesClick on the the dice, and then read the number.How do you write a decimal in words?1. Look to see if there is a number to the left of the decimal; if sowrite it out. If there is no number to the left of the decimal, skipto step 3.2. Write an and for the decimal point.3. Write the number in the decimal part.4. Write the word for the place value of the rightmost digit.Write 13.24 in wordsThirteen and twenty fourClick to reveal hundredthsThe numbers twenty one throughClickalwaysto revealninety nine arehyphenated.Click othe firsnumbdoubledic
decimal concepts.notebookFebruary 19, 2015How does a comma help when writing a decimalnumber?The place value before the comma is always stated.For example:1,547 is writtenOne THOUSAND, five hundred forty seven6,547,100 is written6 MILLION, five hundred forty seven THOUSAND,one hundredWrite the decimal in words1) 5.04Five and four hundredths2) 146.457One hundred forty six and four hundredfifty seven thousandths3) .0009Nine ten thousandths4) 6,345.149Six thousand, three hundred forty fiveand one hundred forty nine thousandths
February 19, 2015Teacher Notesdecimal concepts.notebook
decimal concepts.notebook25Afour and thirty sixBfour and thirty six tenthsCfour, thirty sixDfour and thirty six hundrethsAnswerWhat is 4.36 in word form?What is 63.067 in word form?Asixty three and sixty seven hundredthsBsixty three and sixty seven thousandthsCsixty three and sixty sevenDsixty three, sixty seven thousandthsAnswer24February 19, 2015
decimal concepts.notebookAzero and four hundred nineteenB four hundred nineteen hundredths27Cfour hundred nineteen thousandtsDfour one nineWhat is 0.09 inAnswerWhat is 0.419 in word form?word form?A nine and nineBnine hundredthsC nine and nine hundredthsD nine and zero nine tenthsAnswer26February 19, 2015
decimal concepts.notebookWhat is 407.021 inword form?Afour zero seven zero two oneBfour hundred seven twenty oneCfour hundred seven and twenty one thousandthsDfour hundred seven and twenty one hundredthsStandard FormStandard form is the way we usually seenumbers written, using digits, commasand a period when needed.Standard Form10.880.38792.36.91Answer28February 19, 2015
decimal concepts.notebookFebruary 19, 2015Standard Form1. If there is a ths, there will be a decimal2. If there is an and, there will be a whole number to the left ofthe decimal3. Note the ending this is the place where the decimal numberwill end4. Use the decimal chart to help thousandsUse the chart as a guide to writethe decimal numbers in standard form.1. two hundred sixteen and 2 tenths2. thirty two and nine thousandths3. four thousand, five hundred six and twenty four hundredths4. nine hundred and eight hundredths
February 19, 2015Teacher Notesdecimal concepts.notebookWhat is fifty two and eighteen hundredths?A52,18B52.018C52.18D52.0018Answer29
decimal 5AnswerWhat is five thousand, fifty and five hundredths?What is six hundred three and four February 19, 2015
decimal concepts.notebook33A340B34C0.34D0.034AnswerWhat is thirty four hundredths?What is four hundred ninety five ary 19, 2015
decimal concepts.notebookFebruary 19, 2015Expanded FormTo write a number in expanded form, the number is written as asum of the value of each digit.Place value charts make it easy to write numbers in expandedform, because it helps us see the value of each hs thousandths038451Expanded Form3 0.042 0.3 0.04 0.0010.820.50.030.008Teacher Notes10
decimal concepts.notebookFebruary 19, 2015This interactive gamewill help you practicewriting numbers inexpanded form.As a class, select thecorrect building blocksfor each place value,then write the numberin expanded form.Check your work as aclass.100 20 9 0.2 0.04
decimal concepts.notebookFebruary 19, 2015Answer34 What is 80 0.2 0.03 in standard form?Answer35 What is 0.5 0.004 in standard form?
decimal concepts.notebookFebruary 19, 2015A 30 0.5 0.3B 3 0.05 0.03Answer36 Which is equivalent to 30.53?C 30 0.5 0.03D 0.3 0.05 0.00337 Which is equivalent to 0.873?B 8 0.7 0.3C 0.8 0.07 0.3D 0.8 0.07 0.003AnswerA 0.8 0.07 0.03
decimal concepts.notebookFebruary 19, 2015A eight tenthsB .8 0.08Answer38 Which number is equivalent to 0.08?C eight hundredthsA 3.04B 0.34C three hundred four thousandthsAnswer39 Which number is equivalent to 0.3 0.004
decimal concepts.notebookFebruary 19, 201540 Which number is equivalent to sixteen hundredths?AnswerA .016B 0.1 0.06C .01 0.06Compare & OrderDecimalsReturn toTable ofContents
decimal concepts.notebookFebruary 19, 2015There are two symbols we use to compare numbers when theyare not equal. We call these number sentences inequalities. (greater than) (less than)One number goes on the left of the symbol and another numbergoes on the right of the symbol.The number on the left of the " " shows the larger number.For example:2 12 is "greater than" 1The number on the left of the " " shows the smaller number.For example:1 21 is "less than" 2Symbols and Words to rememberwhen comparing numbersSYMBOLWORDS greater than/largest less than/ smallestequal
decimal concepts.notebookFebruary 19, 2015Comparing Decimals Line up the decimal pointsPut zeros in wherever digits are missingCompare the digits, from left to rightThe largest digit, having the same place value, names thelargest numberCompare 0.045 and 0.21 Line up the decimal pointsPut zeros in wherever digits are missingCompare the digits, from left to rightThe largest digit, having the same placevalue, names the largest number0.045 0.21Click to reveal0.0450.210Compare left to right.2 is greater than 0,so 0.21 is greatest.put zeroon theend
decimal concepts.notebookFebruary 19, 2015Compare 0.36 and 0.312 Line up the decimal pointsPut zeros in wherever digits are missingCompare the digits, from left to rightThe largest digit, having the same placevalue, names the largest number0.3600.312put zeroon theendCompare left to right.6 is greater than 1,so 0.36 is greatest.0.36Click to0.312revealCompare 0.009 and 0.02 Line up the decimal pointsPut zeros in wherever digits are missingCompare the digits, from left to rightThe largest digit, having the same placevalue, names the largest number0.009 0.02Click to reveal0.0090.020Compare left to right.2 is greater than 0,so 0.02 is greatest.put zeroon theend
decimal concepts.notebookFebruary 19, 2015Decimal Squares Interactive GamesClick for link.In this game the robot won,because 0.7950 is greaterthan 0.5021.Game could also be playedwith two students having aspinner and writing downtheir decimal number.Choose the correct symbol.A B C 0.410.049Answer41
decimal concepts.notebookChoose the correct symbol.43A B C Answerthree hundred eleven thousandths0.301Choose the correct symbol.A B C 0.0070.05Answer42February 19, 2015
decimal concepts.notebookChoose the correct symbol.A B C 0.179twenty four hundredthsAnswer44February 19, 2015Choose the correct symbol.A B C forty six hundredths0.6Answer45
decimal concepts.notebookFebruary 19, 2015Answer46 In a paper airplane contest, Marcel's plane travels3.345 meters. Salvador's plane travels 3.35 meters.Based on the measurements, whose plane traveledthe farthest distance?On your paper, explain how you know.A MarcelB Salvador(Derived fromOrdering Decimals Line up all of the decimal points Put zeros in wherever digits are missing Compare the digits, from left to right The largest digit, having the same place value,names the largest numberExample:Why isthis 070What digit tells usthis is the largestnumber?1Compare the digitsclick(
decimal he number with the least value is:The number with the least value is:A0.005B0.5C0.05D0.0005Answer47February 19, 2015
decimal concepts.notebook50A9.888B9.8C9.008D9.088AnswerThe number with the greatest value is:The number with the greatest value is:A0.67B0.067C0.0067D0.00067Answer49February 19, 2015
decimal concepts.notebook51February 19, 2015How much money would you like to win?A 150.59C 150.82D 140.50AnswerB 140.991, 7, 0 , 2Answer52 Using the following digits, create the largest numberyou can between 0 and 1.
decimal concepts.notebookFebruary 19, 201553 Using the following digits, create the smallestnumber you can between 0 and 1.Answer1, 7, 0 , 2Ordering DecimalsOrder the numbers from least to greatest.Move the numbers to put them in order.1501.50.0150.15
decimal concepts.notebookFebruary 19, 2015Ordering DecimalsOrder the numbers from greatest to least.Move the numbers to put them in order.0.7090.680.080.07Which of the following is ordered least to greatest?A0.3, 0.03, 0.33, 3.3B0.03, 0.3, 0.33, 3.3C3.3, 0.33, 0.3, 0.03Answer540.009
decimal concepts.notebook56A0.008, 0.06, 0.5B0.5, 0.06, 0.008C0.06, 0.5, 0.008AnswerWhich of the following is ordered least to greatest?Which of the following is ordered greatest to least?A8.07, 0.008, 0.087, 0.87B0.008, 0.087, 0.87, 8.07C8.07, 0.87, 0.087, 0.008Answer55February 19, 2015
decimal concepts.notebook58A0.23 0.08 0.009B0.23 0.009 0.08C0.009 0.08 0.23AnswerWhich of the following is not correct?Which of the following is correct?A0.8 0.32 0.41 0.701B0.8 0.701 0.41 0.32C0.32 0.41 0.701 0.8Answer57February 19, 2015
decimal concepts.notebookFebruary 19, 2015Answer59 In a paper airplane contest, Marcel's plane travels3.345 meters. Salvador's plane travels 3.35 meters.Jennifer's plane travels 3.3 meters. Based on themeasurements, who won the contest?On your paper, explain your answer.A MarcelB SalvadorC Jennifer(Derived from(Round Numbers toDesignated Place ValuesReturn toTable ofContents
decimal concepts.notebookFebruary 19, 2015Number Line InvestigationInstructions for the next slide:1. Roll the die.2. Click the yellow arrow to pop out the number.3. Move the number to the correct place on the numberline.4. Determine whether the number is closer to 0 or 10.The dotted line shows the halfway mark between 0 and 10.This can be repeated six times.010Think, Pair, Share:What rule can you use to determine whetherany given number is closer to 0 or to 10?
decimal concepts.notebookFebruary 19, 2015RoundingRounding makes numbers easier to work with in your head. Rounded numbers are only approximate. An exact answer generally can not be obtained using roundednumbers. Use rounding to get an answer that is close and does not haveto be exact.ReviewRound 8,749 to the nearest ten.Look to the right.2. Is the digit 5 or more?Yes OR No3. What happens to the digit?Increases by 1 OR remains the same4. What happens to everything to the left of the tensplace?Those digits always remain the same.5. What happens to everything to the right of the tens place?Those digits become zero.Teacher Notes1. Put your pencil point under the digit in the tens place.
decimal concepts.notebookFebruary 19, 2015ReviewRound 8,749 to the nearest hundred.2. Is the digit 5 or more?Yes OR No3. What happens to the digit?Increases by 1 OR remains the sameTeacher Notes1. Put your pencil point under the digit in the tens place.Look to the right.4. What happens to everything to the left of the hundredsplace?Those digits always remain the same.5. What happens to everything to the right of thehundreds place?Those digits become zero.60143 to the nearest ten.AnswerRound
decimal concepts.notebookFebruary 19, 2015614,561 to the nearest hundred.AnswerRound62AnswerRound 564,012 to the nearesthundred thousand.
decimal concepts.notebookFebruary 19, 2015637,399 to the nearest thousand.Round63,752AnswerRound64Answerto the nearest hundred.
decimal concepts.notebookFebruary 19, 2015What happens in this case?Round 697 to the nearest ten.The 7 to the right of the 9 tells us to increasethe 9 by 1.What happens?Answer653,972 to the nearest hundred.AnswerRound
decimal concepts.notebookFebruary 19, 20156698 to the nearest ten.AnswerRound67to the nearestAnswerRound 399,238ten thousand.
decimal concepts.notebookFebruary 19, 201568AnswerRound 9,521 to the nearest thousand.699,983to the nearest hundred.AnswerRound
decimal concepts.notebookFebruary 19, 2015Number Line InvestigationInstructions for the next slide:1. Roll the die.2. Click the yellow arrow to pop out the number.3. Position the number in the correct place on thenumber line.4. Determine whether the number is closer to 1 or 2.The dotted line shows the halfway mark between 1 and 2.This can be repeated six times.12Think, Pair, Share:What rule can you use to determine whetherany given number is closer to 1 or to 2?
decimal concepts.notebookFebruary 19, 2015Rounding DecimalsLet's learn how to round decimals using the following examples:Round 687.268 to the nearest tenths place.When rounding decimals, put your pencil point under the placevalue that you are rounding toDO NOT MOVE IT687.268Round 687.268 to the nearest tenth.1. Put your pencil point under the digit in the tenthsplace.Look to the right.2. Is the digit 5 or more?Yes OR No3. What happens to the digit?Increases by 1 OR remains the same4. What happens to everything to the left of the tenthsplace?Those digits always remain the same.
decimal concepts.notebookFebruary 19, 20155. What happened to the digits to the right of the tenths place?Remember, we are rounding.The place values to the right of the tenths place have zero value,so now the digits 6 and 8 become zeroes.687.300 687.3However we leave the zeros off when they are at theend of a number to the right of the decimal point.Round 8.73258 to the hundredths place.1. Put your pencil point under the digit in the hundredths place.Look to the right.2. Is the digit 5 or more?Yes OR No3. What happens to the digit?Increases by 1 OR remains the same4. What happens to everything to the left of the hundredths place?Those digits always remain the same.5. What happens to everything to the right of the hundredths place?Those digits become zero (and we leave themoff since they are to the right of the decimal).
decimal concepts.notebookFebruary 19, 2015Which of the decimals round to 0.02?0.01050.01670.020.010.0130.0150.018Try this:Round 687.4953 to the nearest hundredths placeAnswer: 687.50Click to reveal
decimal concepts.notebookFebruary 19, 201570 Roundto the nearest hundredth.Round6874.6479to the nearest ten.Answer71Answer6874.6479
decimal concepts.notebook72February 19, 2015Roundto the nearest hundred.Round6874.6479to the nearest tenth.Answer73Answer6874.6479
decimal concepts.notebook74February 19, 2015Roundto the nearest thousand.Answer6874.647975 Roundto the nearest thousandth.Answer6874.6479
decimal concepts.notebookFebruary 19, 2015Caution!When rounding to a specific place, your answer MUST have adigit in that place.Example:Round 23.97 to the nearest tenthAnswer: 24.0There must be a digit in the tenths place, since we were to roundto the tenths place.Round678.97to the nearest tenth.Answer76
decimal concepts.notebook77February 19, 2015Roundto the nearest hundredth.Round5.03to the nearest tenth.Answer78Answer6.304
decimal concepts.notebook79February 19, 2015Roundto the nearest thousandth.Round84.951to the nearest tenth.Answer80Answer0.3497
decimal concepts.notebookFebruary 19, 2015Answer81 A decimal number has two digits to the right of itsdecimal point. If we round it to the nearest tenth, theresult is 18.6.What is the maximum possible value of this decimal?On your paper, use words and the number line toexplain your reasoning.(Problem derived from(Answer82 A decimal number has two digits to the right of itsdecimal point. If we round it to the nearest tenth, theresult is 18.6.What is the minimum possible value of this decimal?On your paper, use words and the number line toexplain your reasoning.(Problem derived from(
decimal concepts.notebookFebruary 19, 2015Answer83 Jules reads that one pint is equivalent to 0.473 liters.He asks his teacher how many liters there are in apint. His teacher responds that there are about 0.47liters in a pint. He asks his parents, and they saythere are about 0.5 liters in a pint. Who is correct?On your paper, explain your answer.A His teacherB His parentsC Both of them(Problem derived from(A 3.251 cmB 3.349 cmC 3.352 cmD 3.295 cmAnswer84 Rainfall collected in a rain gauge was found to be 3.4cm when rounded to the nearest tenth of acentimeter.Select all the measurements below that could be theactual measurement of the rainfall.
decimal concepts.notebookAnnual rainfall total for cities in New York are listedbelow.RochesterIthaca0.97 metersAnswer85February 19, 20150.947 metersSaratoga SpringsNew York City1.5 meters1.268 metersRound the smallest total rainfall to the nearest tenth.(Derived fromDrag and DropDrag and drop one number into each box. When you arefinished, the number inside each box should match the numberbelow the box when rounded to the nearest hundredth.From PARCC sample test(
decimal concepts.notebookFebruary 19, 2015Use rounding to estimate answers to problems.At a restaurant, a burger is 5.99,fries are 3.85 and a small drink is 1.29. Round to the nearest dollarto estimate the cost to purchaseall three items.Cost Estimate 6 5.99 4 3.85 1 1.29It would cost about 11 to purchase all three items.Round the following items, to the nearest dollar, to figure outthe approximate cost if all of the items were bought.pens 2.99pencils 2.20book bag 15.75Answer86
decimal concepts.notebookFebruary 19, 201587 Round the following items to the nearest dollar to figure outjeans 24.99t shirt 6.79 12.31hatAnswerthe approximate cost if all of the items were bought.88 Round the following items to the nearest dollar to figure outmilk 3.79bread 2.15juice 2.40Answerthe approximate cost if all of the items were bought.
decimal concepts.notebookFebruary 19, 201589 Round the following items to the nearest half dollar to figurechicken 8.60potatoes 2.45peas 0.99Answerout the approximate cost if all of the items were bought.90 Round the following items to the nearest half dollar to figureapples 4.60bananas 1.90oranges 3.10Answerout the cost if all of the items were bought.
decimal concepts.notebookFebruary 19, 201591 Round the following items to the nearest ten dollars to figuresneakers 36.21sweatshirt 13.99 6.00socksAnswerout the approximate cost if all of the items were bought.92 Round the following items to the nearest hundred dollars tocomputer 688.23printer 213.50desk 175.89Answerfigure out the approximate cost if all of the items werebought. 40.0 60.0
decimal concepts.notebookFebruary 19, 2015GlossaryReturn toTable ofContentsDecimal NumberA Decimal Number (based on thenumber 10, tenth parts, and powers often) contains a Decimal Point.Back toInstruction
decimal concepts.notebookFebruary 19, 2015Expanded FormWhen a number is written as asum of the value of each digit.0.456 0.4 0.05 0.006Back toInstructionGreater ThanA symbol that shows that the number on theleft is larger than the number on the right.4 .2the alligator eatsthe bigger numberfour tenthsis greater thantwo tenthsBack toInstruction
decimal
decimals. Miguel Cabrera has a batting average of 0.387 Music Stations that show their radio frequency in decimals. With money to show dollars and change. This shows 6.91. And many other places! Why do we need decimals? Decimals
To read a decimal correctly, first find the decimal point Whole numbers are to the left of the decimal point; any numbers to the right of a decimal point form a decimal fraction Say “and” for the decimal point The decimal 2164.511 is read as “two thousand, on
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Grade 4 NJSLA-ELA were used to create the Grade 5 ELA Start Strong Assessment. Table 1 illustrates these alignments. Table 1: Grade and Content Alignment . Content Area Grade/Course in School Year 2021 – 2022 Content of the Assessment ELA Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 9 Grade 10 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8
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