MODULE 6 Decimals In Real-Life
MODULE 6Decimals in Real-LifeThe average temperature for the month of April was 17.6 C.The average temperature for the month of June was 27.8 C.How many degrees hotter was it in June than in April?1Module 6: Decimals in Real-Life
PART 1TenthsTensOnesDecimalTenthsScott ran the 100-yard dash in 10.3 seconds. What is the value of the 3?You can use a place value chart to help you read and write numbers.10.3The numbers to the left of the decimal point are whole numbers. The numbers tothe right of the decimal point are parts of the whole, or decimals.You can use a decimal when a whole is divided into 10 equal parts. One tenth iswritten 0.1.In the number 10.3, the value of the 3 is three tenths. You read the decimal as tenand three tenths.Example: Write the decimal and word name for the shaded part.0.5Five tenths2Module 6: Decimals in Real-Life
Exercise 1-AWrite the decimal for the shaded part.1.2.Exercise 1-BWrite the number in words.3. 4.14. 0.25. 18.56. 3.73Module 6: Decimals in Real-Life
Exercise 1-CWrite the decimal.7. eight tenths8. Four tenths9. six tenths10. One tenth11. 6 and 2 tenths12. 9 and 6 tenths13. 20 and 5 tenths14. 32 and 1 tenth16. 23 and 6 tenths15. fifty and three tenthsPART 2HundredthsAdrienne walked 2.45 kilometers on Tuesday. She uses a pedometer to measurethe distance she walks every day. A pedometer measures the distance inhundredths of a kilometer.You can use a decimal when a whole is divided into 100 equal parts. Onehundredth is written 0.01.1 one 100 hundredths4Module 6: Decimals in Real-Life
DecimalTenths2.4HundredthsOnesThe shaded part of the place value models below shows how far Adrienne walked.52 and 45 hundredths are shaded.It is read as two and forty five hundredths.OnesDecimalsTenthsHundredthsExample: How many hundredths are shaded? Write the decimal.0.066 hundredths are shaded.The decimal is written as 0.06.It is read six hundredths.Look at the place value chart. WhyIs there a zero in the tenths column?5Module 6: Decimals in Real-Life
Exercise 2-AWrite the decimal for the shaded part.1.2.Exercise 2-BWrite the number in words.3. 0.074. 1.345. 7.196. 15.866Module 6: Decimals in Real-Life
Exercise 2-CWrite the decimal.7.8.9.10.11.12.13.14.15.63 hundredthstwo hundredths89 hundredths15 and 3 hundredths9 and 6 hundredths2 ones, 1 tenth and 2 hundredths5 ones, 1 tenth and 2 hundredths6 ones and 9 hundredths6 tens and 6 tenthsPART 3ThousandthsBaseballs players’ batting averages are given to the nearest thousandth.You can use a decimal when a whole is divided into 1,000 equal parts. Onethousandth is written 0.001.7Module 6: Decimals in Real-Life
0 .1 .1 5 .thousandthsHundredthsTenthsDecimalOnesTensUse the place value chart to help you read the numbers.3 4 86 2 40 0 7In the number 0.348, the 8 is in the thousandths place.Its value is 8 thousandths.It is read three hundred forty- eight thousandths.In the number 1.624, the 4 is in the thousandths place.Its value is 4 thousandths.It is read one and six hundred twenty-four thousandths.In the number 15.007, the 7 is in the thousandths place.Its value is 7 thousandths.It is read fifteen and seven thousandths.Exercise 3-AWrite the number in words.1. 0.0032. 1.1073. 12.3498Module 6: Decimals in Real-Life
Exercise 3-BWrite the number.4. 324 thousandths6. 5 and 341 thousandths5. 3 and 41 thousandths7. 41 and 8 thousandthsExercise 3-CIn the number 32.174 what digit is in the:8. Tens place?10. Tenths place?9. Hundredths place?11. Thousandths place?Critical ThinkingUse the cards below to solve.69.1312. Write two decimals with a 1 in the thousandths place and a 3 in the tenthsplace.13. Write all the decimals you can make with a 6 in the ones place and a 9 in thethousandths place.9Module 6: Decimals in Real-Life
PART 4Comparing and Ordering DecimalsComparing decimals is the same as comparing whole numbers. Start at the leftand compare the digits.0.8 0.30.41 0.55Example: Compare 1.2 and 1.27To compare, write a zero after the 1.2. The value stays the same.1.2 1.201.27Look at the shaded squares.1.20 1.271.2 1.27You can compare numbers mentally.1.621.791.991.62 1.79 1.99These numbers are in order from least to greatest.10Module 6: Decimals in Real-Life
Exercise 4-AWrite , , or to compare the decimals.1.0.2 0.82. 0.4 0.53. 0.6 6.04. 0.220.175. 0.300.106. 0.1340.1377. 4.114.138. 2.072.0709. 3.123.01210.2.702.7111. 3.1693.14712. 0.750.750Exercise 4-BOrder From Least To Greatest13. 0.7, 0.2, 1.714. 0.27, 0.35, 0.1615. 3.3, 3.33, 3.30316. 4.10, 4.01, 4.011, 4.10117. 0.34, 0.43, 0.52, 0.32Mental MathUse mental math. Write each number as a hundredths decimal.11Module 6: Decimals in Real-Life
PART 5Rounding DecimalsThe quarterback of the football team averaged 7.64 yards per pass last season.You can round the decimal if you do not need to know the exact answer.Rounding decimals is the same as rounding whole numbers. Look at the digit tothe right of the place to be rounded.Round down when the digit is 0,1,2,3, or 4.Round up when the digit is 5, 6, 7, 8, or 9.7.64 rounded to the nearest whole number is 8.7.64 rounded the nearest tenth is 7.6.Example:Number46.5913.713.802Round to thenearestWhole numberTenthHundredthDigit to theright512Is it 5 ormore?YesNoNoRoundUp to 47Down to 13.7Down to 3.80Example: Round 35.87 to its greatest place value.35.87Round 35.87 up to 4012Module 6: Decimals in Real-Life
Exercise 5-ARound to the nearest whole number.1. 3.24. 6.757. 39.072. 6.75. 33.218. 42.513. 3.856. 27.529. 82.17Exercise 5–BRound to the nearest tenth.10.3.3213. 9.0716.43.9411. 4.7314. 34.1217. 21.1112. 6.8815. 16.8618. 64.58Exercise 5–CRound to the greatest place value.19.3.322.8.5725.27.320. 37.423. 41.8926. 4.5221. 22.824. 39.1027.16.18Exercise 5–DRound to the place of the underlined digit.28.16.431.113.2629. 3.7232. 0.7530. 16.9433. 100.1213Module 6: Decimals in Real-Life
PART 6Problem solving strategy: Estimating with Decimals.Megan is a salesperson for a tool company. She plans on leaving her office andmaking sales calls today. She visits CY’s Circular Saws and Dan’s security doors inthe morning. About how many miles will she travel?Sometimes you do not need an exact answer. You can estimate to solve aproblem.Use the map above to solve the problem. To estimate how many miles Megantraveled, round each number to the greatest place value.15.3 37.420 4060Megan traveled about 60 miles.Example: In the afternoon, Megan traveled from Dan’s Security Doors toConnie’s Construction and Lumber City. About how many miles did she travel inthe afternoon?24.1 23.620 204014Module 6: Decimals in Real-Life
Exercise 6 –AEstimate to solve1. Megan spent 8.93 on gasoline in the morning. She spent 4.23 on gasoline inthe afternoon. About how much money did she spend on gasoline?2. Rob is making a fruit basket. He wants to buy 6 pounds of fruit. He gets 1.37pounds of grapes, 2.73 pounds of apples, and 1.99 pounds of oranges Does hehave enough fruit?3. Jessica made 276.57 in commissions this week. Peter made 124.75. Abouthow much more did Jessica make than Peter?4. Megan drove 100.4 kilometers the first day of her business trip. The secondday, she drove 86.7 kilometers. About how many more kilometers did shedrive the first day?5. Juan buys a novel for 27.23 and a bookmark for 2.19. About how much didhe spend in all?6. Brian ordered cement at Connie’s Construction. It was delivered in twoshipments. The first shipment was 75.7 pounds. The second shipment was175.8 pounds. About how many pounds of cement did Brian order?15Module 6: Decimals in Real-Life
PART 7Adding DecimalsKaren runs 1.35 miles on Monday and 4.19 miles on Tuesday. How many milesdoes she run in all?To find out, add 1.35 and 4.19. When you add decimals, it is very important tokeep decimal points in line.11.35 4.191.35 4.195.54Step One: Line up the decimal points.Step Two: Add the hundredths. Regroup if necessary.Step Three: Add the tenths. Regroup if necessary.Step Four: Add the ones.Karen ran 5.54 miles.Sometimes each decimal does not have the same number of places. When thishappens, add a zero after the last digit of a decimal. Remember, writing a zero asa placeholder does not change its value.Example: Add: 8.35 2.78.35 2.78.35 2.7011.05CalculatingWhen you use a calculator to add decimals, you do not need to add the zero as aplaceholder.Add:Press:37.7 3.5837.7 3.58 41.2816Module 6: Decimals in Real-Life
Exercise 7–AAdd.1.3.7 2.15.2.4.9 2.66.13.63 3.099.16.35 4.8933.7 34.917.89.60 13.8921.16.19.22.15.99 13.1720.13.42 63.8923.16.39 14.813.87 50.388.99 13.4752.89 18.809.92 13.8212.15.18.19.08 42.7185.37 3.8343.89 12.636.39 4.878.11.14.4.83.09 2.1713.84 1.766.39 17.388.92 3.877.10.13.3.33.89 14.6324.52.17 1.8933.17 23.8917Module 6: Decimals in Real-Life
Exercise 7–BAdd.25.16.5 326.8.92 1.727.3.7 3.8928.32.7 14.3829.0.72 3.130.8 2.3331.14.1 0.8732.33.9 2.8933.14.63 3.834.9.75 4.135.93.16 2.836.5.9 7.8737.44.89 37.238.16.7 8.9339.13.63 3.440.58.7 8.5341.22.7 13.9742.6.72 43.843.13.98 3.444.2.8 3.7218Module 6: Decimals in Real-Life
Exercise 7–CSolve45. Mike has 10. He wants to buy a roll of film for 3.79 and batteries for 5.20.Does he have enough money?46. Rose rides her bicycle for 6.8 kilometers on Saturday and 3.75 kilometers onSunday.How many kilometers does she ride in all?19Module 6: Decimals in Real-Life
PART 8Subtracting DecimalsThe high temperature on Friday was 88.7 F. The high temperature on Saturdaywas 90.3 F. How much lower was the temperature on Friday?To find out, subtract 88.7 from 90.3.98 10 1390.3- 88.790.3- 88.71.6Step one: Line up the decimal points.Step two: Subtract the tenths. RegroupStep Three: Subtract the ones. RegroupStep Four: Subtract the tens.The temperature was 1.6 F lower on Friday.Sometimes when you subtract decimals, each decimal does not have the samenumber of places. When this happens, add zeros as placeholders. Remember,adding a zero after the last digit of a decimal does not change its value.Example: Subtract 4.75 from 9.2.8 11 109.2- 4.759.20- 4.754.4520Module 6: Decimals in Real-Life
Example: Subtracting 6.39 from 42.42- 6.3942.00- 6.3942.00- 6.3935.61Step One: Line up the Decimal points.Step Two: Add a zero ion the tenths place and hundredths place.Step Three: Subtract the hundredths. RegroupStep Four: Subtract the tenths. RegroupStep Five: Subtract the ones. Regroup.Step Six: Subtract the tens.Exercise 8-ASubtract.1.0.8- 0.22.6.3- 4.13.5.8- 2.94.9.3- 4.25.16.7- 2.76.42.8- 3.47.36.8- 13.38.9.4- 2.29.33.1- 16.710.42.4- 6.811.52.5- 13.612.68.7- 13.913.4.38- 2.7214.8.74- 3.8915.37.84- 16.4316.89.31- 43.8721Module 6: Decimals in Real-Life
Exercise 8 –BSubtract.17.3.6- 118.8.39- 3.219.7.84- 2.420.13.53- 721.8- 3.722.7.8- 3.9223.0.7- 0.4224.0.9- 0.3625.82.2- 8.9526.16- 4.8127.36.7- 22.7228.43- 8.7329.74.3- 13.9130.62.6- 43.7431.89.3- 7.5432.52.9- 1.79Exercise 8 –CSolve.33. Janice has a 5 bill. She spends 1.89 at the card shop. How much changedoes she receive?34. Daniel spends 89.50 on groceries and 29.43 on records. How much moredoes he spend on groceries then on records?22Module 6: Decimals in Real-Life
CalculatingUse a calculator to find the differences.35. 8 - 3.236. 9- 4.137. 6 - 2.89ApplicationBatting AveragesBaseball players keep track of their batting performance with a batting average. Abatting average is a record of the number of hits and the number of times at bat.This average is written as a decimal to the thousandths place.American League Batting Champions0.3750.37Batting . Mattingly(1984)w. boggs ( 1985) W. Boggs ( 1986) W. Boggs ( 1987) W. Boggs (1988) K . Puckett (1989)Batting Champions23Module 6: Decimals in Real-Life
Use the graph to answer the questions.1. Who had a higher batting average, Kirby Puckett or Don Mattingly?2. In which year did Wage Boggs have the highest batting average?3. How much higher was Wade Boggs batting average in 1988 than 1987?4. Which player had the highest batting average?24Module 6: Decimals in Real-Life
Module 6: Decimals in Real-LifeReview 1Write the number in words.1. 0.72. 4.323. 48.007Write the decimal.4. 9 and 3 tenths5. 4 and 9 hundredths6. 3 and 8 thousandths7. Thirty-one thousandthsCompare8. 0.7 0.49. 4.17 4.01710. 0.85 0.08511. 4.123 4.32112. 0.70 0.1013. 13.824 13.249Round to the greatest place value.14. 4.515. 63.916. 2.817. 16.718. 43.8419. 16.17Add or subtract.20.6.3 2.421.8.9 3.722.4.1 3.7923.3.9 4.8124.6.9-2.525.8.7- 2.926.32.1-5.6327.42-3.8925Module 6: Decimals in Real-Life
PART 9Multiplying & Dividing DecimalsMultiplying Decimals by Whole NumbersWhen you multiply a decimal by a whole number, the product will have the samenumber of decimal places as the decimal.Example: Multiply 2.34 x 2.Multiply decimals as you do whole numbers.2.34X 22.34x 24.68Two decimal places.Two decimal places.Step One: Multiply 4 hundredths by 2.Step Two: Multiply 3 tenths by 2.Step Three: Multiply 2 ones by 2.2.34 x 2 4.68Multiplication can be thought of as repeated addition.2.34X 24.682.34 2.344.68Sometimes when you multiply decimals by a whole number, you need to regroup.Example: Multiply 32.85 x 7.Step One32.85X 722995Step Two32.85x 722995Step Three32.85x 7229.95Two decimal placesTwo decimal places26Module 6: Decimals in Real-Life
Step One: Multiply as you would with whole numbers.Step Two: Count the decimal places.Step Three: Write the decimal point in the product.Example: The Sock Hop was having a clearance sale. Maggie bought 32 pairs ofsocks for 1.89 each. How much did she spend at the sale?To find out, multiply. 1.89X 323785676048 1.89x 32378567 60.48Two Decimal placesTwo Decimal placesExample: Multiply 38.427 by 3.38.42738.427 38.427115.28138.427x3115.281Three Decimal placesThree Decimal Places.Exercise 9 – AMultiply1.0.36X 42.0.74x 93.0.82x 64.3.8x55.734.2X 36.89.43x 77.12.8x 248.73.89x 1727Module 6: Decimals in Real-Life
9.89.7X 4210. 41.44x 8911.9.189x 40712.8.274x 20913.22.94X 82114. 62.17x 7515.6.127x 38716.9.194x 21717.5.812X 31918.43.82x 1519. 16.89x 42520.62.3x 143Exercise 9 – BSolve21. The scout troop sold 457 boxes of cookies. Each box sells for 2.25. How muchmoney did they make from the cookie sale?22. Marisa bought her grandson 3 books. The price of each book was 10.95.How much did she spend in all?28Module 6: Decimals in Real-Life
PART 10Multiplying DecimalsYou can use decimal models to show what happens when you multiply decimals.This model shows 0.4 x 0.2.0.40.20.4 x 0.2 0.08When you multiply tenths by tenths. The product is in hundredths.Look at the hundredths model above. The shaded area that overlaps four tenthsand two tenths is the product, or 8 hundredths.When you multiply hundredths by tenths, the product is in thousandths.Example: Multiply 3.82 x 2.7.3.82X 2.710.314In general, if you add the number of decimal places in each factor, you will get thenumber of decimal places in the product.3.82X415.2861.8X 0.6741.406Two Decimal PlacesZero Decimal PlacesTwo Decimal PlacesOne Decimal PlacesTwo Decimal PlacesThree Decimal Places29Module 6: Decimals in Real-Life
Exercise 10 – AMultiply1.0.7x 0.82.5.12.7x 0.96.0.309x 2.27.10.27.2x 8.911.14.2.714x 23.99.13.17.13.413x 3.92.62x 142.831.19x 0.7218.0.5x 0.913.8x 147.93.0.36x 0.74.0.83x 0.58.0.412x 2.714.189x 6.712.0.7x 148.315.12.7x 3.616.4.176x 0.3219.18.73x 20.120.3.9x 0.20.9x 42.830Module 6: Decimals in Real-Life
Exercise 10 – BUse a calculator and multiply21. 33.7 x 41.9 x 3.722. 1.7 x 82.3 x 4.175PART 11Dividing Decimals by Whole NumbersDividing decimals by whole numbers is the same as dividing whole numbers.However, you must remember to write a decimal point in the quotient.Example: Divide 9 13.5Step One159 13.5- 945- 450Step Two1.59 13.5- 945-450Step One: Divide as you would with whole numbers.Step Two: Write the decimal point in the quotient above the decimal point in thedividend.When dividing decimals. You may need to add a zero in the quotient.Example: Divide 6 0.0840.0146 0.084- 624- 240Add zeros in thequotient to show 0ones and 0 tenths31Module 6: Decimals in Real-Life
When dividing decimals, you may need to add a zero in the dividend. Remember,when you add a zero after the last digit of a decimal, the value stays the same.Example: Divide: 18 2.43Step One13518 2.430-1863- 5490- 900Step Two0.13518 2.430-1863- 5490- 900Step One: Divide as you would with whole numbers. Add zero to the dividend tocomplete the division.Step Two: Write the decimal point in the quotient above the decimal point individend.Example: Marcella is knitting a baby blanket. She needs 189.8 grams of yarn.Each package of yarn is 52 grams. How many packages of yarn does she need?To find out, divide.3.6552 189.80- 15633 8- 31 22 60- 2 600Marcella needs to buy four packages of yarn. The quotient, 3.65, must berounded up to the nearest whole number so that Marcella will have enough yarnto finish the blanket.32Module 6: Decimals in Real-Life
Exercise 11 – ADivide1.3 34.52.6 10.53.7 9.84.5 107.55.8 83.26.4 29.687.9 594.98.6 0.1089.3 9.32110.8 0.5611. 32 2.425612. 39 10.06213.15 15.614.27 64.815. 41 224.2716. 69 1.407617. 52 2.844418.62 1.73621 770.720. 17 5.247919.33Module 6: Decimals in Real-Life
PART 12Multiplying or Dividing by Power or 10You can multiply by a power of ten mentally.Multiply by Ten.10 x 2.34 23.410 x 24.3 24310 x 243 2,430Multiply by Hundred100 x 6.214 621.4100 x 62.14 6,214100 x 621.4 62,140Multiply by 1,0001000 x 3.8724 3,872.41000 x 38.724 38,7241000 x 387.24 387,240Multiplying by 10 moves the decimal point one place to the right.Multiplying by 100 moves the decimal point two places to the right.Multiplying by 1,000 moves the decimal point three places to the right.Multiplying by power of ten makes a greater number.You can divide by a power of ten mentally.Divide by 1032.5 10 3.253.25 10 0.3250.325 10 0.0325Divide by 100284.3 100 2.84328.43 100 0.28432.843 100 0.02843Divide by 1,0004.783.5 1,000 4, 7835478.35 1,000 0. 4783547.835 1,000 0.047835Dividing by 10 moves the decimal point one place to the left.Dividing by 100 moves the decimal point two places to the left.Dividing by 1,000 moves the decimal point three places to the left.Dividing by a power of 10 makes a lesser number.34Module 6: Decimals in Real-Life
Exercise 12 – AMultiply Mentally1. 10 x 3.972. 10 x 0.093. 10 x 3.74. 100x8.875. 100x4.636. 100x0.8537. 1,000x2.438. 1,000x38.16 9. 1,000x0.09Exercise 12 – BDivide Mentally10. 8.7 1011. 12.83 1012. 0.04 1013. 5.9 10014. 0.82 10015. 0.893 10016. 7.143 1,000 17. 4.16 1,000 18. 39.12 1,000Exercise 12 – CMultiply or divide mentally.19. 100 x 3.47 20. 10 x 0.76321. 843.6 1,00022. 0.16 1023. 1,000 x 85.1 24. 9.198 10025. 0.659 10 26. 12.07 1035Module 6: Decimals in Real-Life
PART 13Problem solving strategy:Organizing Information in a Trade:Barbara wants to go to the beauty salon to get a haircut, a permanent, and amanicure. She reads these ads in the newspaper to decide which salon has theleast expensive rates.Shirley’s ShearsHaircuts 20. 25Manicure 15.99Tints 38.76Permanent 59.88Chuck’s Cutting CribHaircut 10.00Manicure 29.95Tints 18.70Permanent 50.00Carole’s Comb OutHaircut 35.85Manicure 21.89Tints 70.89Permanent 61.45She decides to make a table to organize the information.Prices at Each SalonSalonShirley’sChunk’sCarole’sHaircut 20.25 10.00 35.85Permanent 59.88 50.00 61.45Manicure 15.99 29.95 21.89Total 96.12 89.95 119.19Barbara’s table is organized in such a way that it is easy to add the prices. She hascolumns that are labeled and rows that give the prices for each service. Barbaracan see from the Total Column that it would cost less to have a haircut,permanent, and manicure at Chuck’s Cutting Crib36Module 6: Decimals in Real-Life
Exercise 13 – ACarole’s Comb out Salon sells shampoo, conditioner, gel, and mousse. UseCarole’s receipts to complete the table.Sales at Carole’s Comb ampoo3 Bottles6 gelShampoo3Conditioner0Tuesday18 Conditioner3 MousseWednesday13 Shampoo19 MousseGel6Thursday12 Conditioner16 GelMousse0Total9Friday14 Shampoo10 ConditionerUse the table to answer the questions.5. On which day were the most products sold?6. Was more shampoo or conditioner sold this week?7. How many jars of gel were sold altogether this week?8. On which day of the week were the most bottles of shampoo sold?9. How many products did Carole sell altogether this week?37Module 6: Decimals in Real-Life
Dividing by TenthsLook at the place value models. Each strip represents 1 tenth, or 0.1.How many times can you match the two tenths strip with the shaded part of thetenths model?This model shows 0.6 0.2 0.3. To make dividing easier; you can also make thedivisor a whole number by multiplying the divisor and the dividend by the samepower of 10.Example: Divide 6.8 by 0.4Step 1:(10 x 0.4)Step 2:0.4 6.8Step 3:174 680.4 6.8(10 x 6.8)Step 1: Multiply the divisor and the dividend by a power of 10.Step 2: Move the decimal points one place to the right.Step 3: Divide.Check by multiplying.17 x 0.4 6.8Divide 4.23 by 0.938Module 6: Decimals in Real-Life
Step 1: Multiply the divisor and the dividend by 10.(10 x 0.9)0.9 4.23(10 x 4.23)Step 2: Move the decimal points to the right.0.9 42.3Step 3: Divide.4.79 42.3- 3663-630Exercise 14 – ADivide1.0.6 7.22.0.4 2.23.0.7 4.414.0.3 0.2675.0.8 50.086.0.5 0.327.0.2 6.228.0.9 11.079.1.3 85.0210. 6.2 2.23211. 4.9 15.72912.7.2 30.639Module 6: Decimals in Real-Life
Exercise 14 – BDivide13.3.2 5.2814. 4.9 22.39315. 6.2 2.963616. 8.9 2.13617. 4.1 1.512918. 2.2 2.118619. 5.8 182.1220. 3.7 3.14521. 31.2 196.5622. 49.7 62.12523. 50.6 23.78224. 13.8 3.726Exercise 14 – CSolve.25. James drove 111.54 miles on a business trip. He averaged 50.7 miles per hour.How many hours did James Drive?40Module 6: Decimals in Real-Life
CalculatingYou can use the constant feature on a calculator to find the quotient to divisionexercises without using the key.Example: 36.6 6.1 Press 36.6 – 6.1 0The number of times you pressed to get 0 is the quotient, 6.Find the quotient without using the key.26. 2.1 0.7 27. 1.6 0.2 28. 16.4 4.1PART 15Dividing by hundredths and thousandths.A chemist has 29.04 grams of substance needed to perform an experiment. Shemust put 0.24 grams into each test tube. How many test tubes does she need?To find out, divide 29.04 by 0.24. Remember, when the divisor is a decimal,multiply it by a power of 10 to make a whole number.Step one: Multiply the divisor and the dividend by 100.(100 x 0.24)0.24 29.04(100 x 29.04)Step Two: Move the decimal points two place to the right.0.24 29.04Step Three: Divide.12124 2904The chemist will need 121 test tubes.41Module 6: Decimals in Real-Life
Example: Divide 2.25 by 0.9(100 x 0.09) 0.09 2.25 (100 x 2.25)0.09 2.25259 225To divide a decimal by thousandths, multiply the divisor and dividend by 1,000.Sometimes you may need to add a zero in the dividend to complete the division.Example: Divide 797.44 by 0.623Step One:(1,000 x 0.623)0.623 797.44Step Two:0.623 797.440(add a zero)Step Three:(1,000 x 797.44)1280623 797440- 6231744- 12464984- 49840Example: Divide 8.2755 by 3.065Step One:(1,000 x 3.065)3.065 8.2755Step Two:3.065 8.2755Step Three:2.73.065 8275.5- 61302145 5- 2145 50(1,000 x 8.2755)42Module 6: Decimals in Real-Life
Exercise 15 – ADivide1. 0.08 2.1042.0.04 15.63.0.06 1.354. 0.09 5.7425. 0.11 4.9836.0.05 11.57. 0.03 1.5698. 0.02 1.9289.0.17 9.4052510.0.014 11.958811.8.26 51.459812.0.247 15.536313.0.743 2.5782114.0.812 1.37228Exercise 15 – BAvocados sell for 1.09 each. Tell how many were purchased for each sale.15. 6.5416. 3.2717. 16.3543Module 6: Decimals in Real-Life
ApplicationAreaSuppose you want to carpet the family room. You can find the area of the roomby multiplying the length times the width.14 ft widthThe length is 20 feet.The width is 14 feet.Multiply 20 x 14 to find the area.Area 20 x 14Area 280The area of the family room is 280 square feet.20 ftlengthWhat is the area? Complete.1.0.562.0.70.36Square units4.0.935.0.93Square Unit3.9.370.63square unitssquare units0.853.896.0.17 0.17Square Unit77Square Unit44Module 6: Decimals in Real-Life
Module 6: Decimals in Real-LifeReview 2Multiply.1.0.24x 62.0.92x 83.4.6x 34.24.7x 185. 19.25x 3246.0.809x 0.77.0.82x 0.58.0.319x 3.79.18.43x 16.110.13.7x 8.411.12.0.8x 113.9Divide.13.5 22.614.9 4.0517.10 4.68321. 0.14 8.87618. 0.7 43.7522.6.3x 124.7315. 14 3466.416. 58 31.7260.8 17.220. 0.3 16.9219.0.73 32.273323.0.256 0.819245Module 6: Decimals in Real-Life
Module 6: Decimals in Real-Life PART 5 Rounding Decimals The quarterback of the football team averaged 7.64 yards per pass last season. You can round the decimal if you do not need to know the exact answer. Rounding decimals is the same as rounding whole numbers. Look at the digit to the right of the place to be rounded.
whole numbers and positive decimals. Order a set of positive whole numbers and decimals. 1-2 Learning Targets: Add and subtract multidigit decimals. Solve real-world problems by adding and subtracting decimals. 1-3 Learning Targets: Multiply multidigit decimals. Sub
Teacher’s Book B LEVEL - English in school 6 Contents Prologue 8 Test paper answers 10 Practice Test 1 11 Module 1 11 Module 2 12 Module 3 15 Practice Test 2 16 Module 1 16 Module 2 17 Module 3 20 Practice Test 3 21 Module 1 21 Module 2 22 Module 3 25 Practice Test 4 26 Module 1 26 Module 2 27 Module 3 30 Practice Test 5 31 Module 1 31 Module .
Adding & Subtracting fractions 28-30 Multiplying Fractions 31-33 Dividing Fractions 34-37 Converting fractions to decimals 38-40 Using your calculator to add, subtract, multiply, divide, reduce fractions and to change fractions to decimals 41-42 DECIMALS 43 Comparing Decimals to fractions 44-46 Reading & Writing Decimals 47-49
Oct 05, 2017 · Understand decimals to thousandths. 2-3 Equate and Compare Thousandths Compare decimal numbers through thousandths. 3-3 ays BIG IDEA 2: Addition and Subtraction 2-4 Adding and Subtracting Decimals Use models to add and subtract decimals. M05.A-T.2.1.3 M05.D-M.1.1.1 2-5 Add Whole Numbers and Decimals Add decimals by aligning their place values. 2-6
Exercise Worksheets . Add & Subtract Fractions 11. Add & Subtract Mixed Numbers 12. Multiply Fractions 13. Divide Fractions DECIMALS 14. Decimals to Fractions 15. Add & Subtract Decimals 16. Multiply Decimals 17. Divide Decimals . Worksheet #3 Multiplying Whole Numbers 46 x 72 205 x 34 493 x 67 800 x 30 376 x 18 776 x 98 2309 x 278 79,248 x .
Decimals to Fractions (Calculator) [MF8.13] Ordering Fractions, Decimals and Percentages 1: Unit Fractions (Non-Calculator) [MF8.14] Ordering Fractions, Decimals and Percentages 2: Non-Unit Fractions (Non-Calculator) [MF8.15] Ordering Fractions, Decimals and Percentages 3: Numbers Less than 1 (Calculator) [MF8.16] Ordering Fractions, Decimals .
Create a Powerpoint presentation that teaches another student how to add, subtract, multiply, and divide decimals. 25 Create a project cube with real-world examples of adding, subtracting, multiplying, and dividing decimals. 20 Convert and rewrite one of your favorite recipes from fractions into decimals. 10
Academic writing is often a highly problematic but always potentially trans-formational activity. Despite the great diversity within and between different academic disciplines, several common themes are associated with the experi-ence of writing in academia. It is often encountered as a process that is full of paradoxes. This book aims to identify and explore those common themes and to help .
