Grade 7 DECIMALS - Mr Adams

Grade 7DECIMALSNAME .GRADE .TABLE OF CONTENTSPageLesson 1Conversion of common and decimals fractions1Lesson 2Multiplication and Division by 10, 100, 1 0007Lesson 3Reading Scaled Measurements9Lesson 4Rounding Off14Lesson 5Terminating, Non-terminating andRecurring decimals16Lesson 6Mixed Operations using decimal fractions18Lesson 7Mixed Examples19Lesson 8Costing26

Conversion of common and decimals fractionsLesson 10,5 0,0971.10,134 or 0,0961.20,4 or 0,471.30,3 or 0,291.43,5 or 3,511.54,615 or 4,671.61,234 or 2,341.72,60 or 2,161thousandthshundredthstenthsunitstensFor example:Which is greater0,5 or 0,097?hundredsUse the table to help you decide which of the following pairsof decimals fractions is the greater.thousandsQuestion 10500971

Question 2Complete these number sequences by finding the nextfour terms in each case:2.10,7; 1,8;2.23,86; 3,88;2.310,0; 9,7;2.40,60; 0,54;Question 3;;;;;;;;;(add 1,1);;(add 0,02)(subtract 0,3);(subtract 0,06)Complete these number sequences. Write down therule in each case.0,08;3.240; 20; 10; 5;3.37,5; 7,25;; 0,24; 0,32;; 1,25;;; 0,48; 0,56; 0,64; 0,3125; 6,5; 6,25; 6()()()Write these numbers in ascending order (i.e. from smallestto biggest).4.12,53; 4,684.22,54; 3,182; 3,654.31,234; 2,34; 1,344.42,60; 2,06; 2,1612;;;3.1Question 4;

Question 5Write the following numbers in decimal form:5.1nine and three tenths5.2seventeen and four hundredths5.3three hundredths and seven thousandths5.4seven hundredths5.5six and two tenths and one hundredthsQuestion 6Convert the following fractions to decimal 8146.9356.10183

Question 7Convert the following decimals to common 27.70,004Write the decimals for each of the following fractions and learn themoff by heart.1 21 51 81 42 53 83 43 55 84 57 8Also learn these two off by heart.1 342 3

Question 8Convert the following fractions to decimal 11258.82148.92 11208.1027208.112788.128345

Question 9CommonfractionComplete the following table:1538Decimalfraction0,65Question 106320131250,050,26Write as common fractions in their simplest 10.120,015

Multiplication and Division by 10, 100, 1 000Lesson 2Question 1Complete the table below. Do not use a calculator. 4,56 10 4,56 10 4,56 100 4,56 100 4,56 1 000 4,56 1000 Question 2Write down the answers only. Do not use a calculator.2.13,4 100 2.27,9 100 2.30,3 10 2.40,2 10 2.51,23 1 000 2.61,7 100 2.70,007 100 2.80,04 10 2.9239,5 1000 Question 3Complete the table below. Do not use a calculator.272,811,23116,21,1631710,01 100 1007

Question 4Fill in the operator.4.1For example: A will be 10. 10AB333,3C330D0,33E0,00333,34.2A0,203Question 5B0,0203C203DE2,032 03020,3Fill in the operator to complete the number chain below.5.110,76485.2* 10107, 648180,00180,140842140,8421,07648180107 64,81,85.3Reading Scaled Measurements81,408421 4084,2

Lesson 3Question 11.1Fill in the correct number at each mark on the number linebelow:231.224Do the same on this line:1,21,3Question 2(i) Write down the measurement represented by eachsmall division on the number lines below:(ii) Read off the measures of the letters A to X from thenumber lines below:2.1012BA34DCA:B:C:D:2.29

21,03VUU:V:W:X:101,04W1,05X1,1

01,1MNK:L:M:N:Question 3Read off the measures of the letters A to D from thenumber line below:12kgCBADA:B:C:D:11

Question 4Put the following four numbers in the correct positionon the number line below:141 ; 1,05;1,7;1,91Question 51110B5.1DCAWrite each of the numbers represented by thefollowing letters as a fraction in its simplest form:A:B:5.2Write each of the numbers represented by thefollowing letters as a decimal:C:D:5.312Use an E to mark 10,55 on the number line.

*Question 6The diagram below shows different readings on a kitchenscale. Write down the mass (in kilograms) for each of thereadings shown:00,10,2kgABCDA B C D Question 7Rank each group of decimal numbers from greatest tosmallest:7.10,24; 0,42: 2,47.20,3; 0,03; 3,07.30,5; 0,055; 0,557.40,8; 8,0; 0,887.50,676; 0,766; 6,767.69,0; 9,9; 9,09Rounding OffLesson 413

1.Round off 9 899,059 9 tothe nearest wholenumber2.the nearest tenth3 decimal placesthe nearest hundred2 decimal placesRound off 7 899to the nearest thousand4.the nearest thousandWrite 679,553 correct tothe nearest unit3.the nearest hundredthto the nearest tenWrite 5 648,999correct to the nearest hundred5.1Round off 382 to the nearest 10.5.2Round off 3 651 to the nearest 100.5.3Round off 199 502 to the nearest 1000.14to the nearest hundredcorrect to the nearest tenth

5.4Round off 4,859 to one decimal place.6.1Write 45,568 m to the nearest centimetre.6.2Write 345,3889 km to the nearest metre.7.Round off R45,994 to the nearestcentRand8.An overseas phone call from a pay telephone is going to costyou 1 645 cents, but you have only one type of coin.8.1If you have only 50 c coins, how many will you have to put into thepayphone? Show your working.8.2If you have only R2 coins, how many will you have to insert?How much extra will you have paid? Show you working.15

Terminating, Non-terminating and Recurring decimalsLesson 5In this section you use the calculator to write fractions as terminating orrecurring decimals.Terminating decimalsNon-Terminating decimals5 812 431 12529 3411 2511 2343 12543 12227 8027 297 1631 68Recurring decimals161 31 995 1211 125 112 31 1111 6

Question 1Convert the following common fractions to decimalfractions with the help of a calculator, using recurring dotswhere required:1.17 151.27 161.33 161.47 91.55 61.61 321.73 111.850 111Question 2Round off each answer in Question 1 to the seconddecimal place. You may prefer to work from the longcalculator answer.17

Mixed Operations using decimal fractionsLesson 6Use a calculator to work out the following sums. Write the calculator answerand then round off to two decimal places where necessary:1.(5,31) 22.103,345 27,21 1,33.135,39 (3,8)24.235,761 131,719 0,235.272,22 11,326.227,3 71,81 28,677.755 3,2 2,428.37,44 5,82 3,339.25,4 1,23 0,15610.12,678 34,56 45,305Mixed ExamplesLesson 7ALWAYS SHOW WORKING WHEN DOING “STORY SUMS”.Question 11.118Which number is 0,93 less than 3,642?

1.2Which number is 15 times larger than 0,375?1.3Which number exceeds 3,847 by 0,903?1.4What is the product of 2,3 and 0,12?1.5How many times can 0,3 be subtracted from 18?Question 2Calculate the following. Write the calculator answer andthen round off to one decimal place:2.1(3,35)22.227,2 – 9,31 2,842.30,223930,0719

2.49,995 – 0,2122.58,35 (7,92 – 3,61)2.626,8 2,78,34 1,312.713,4 3,1 – 4,31 2,4Question 3List the following numbers from smallest to largest:13 ;3Question 43,003;3,03;Give the next two terms of each of the following numbersequences:0; 0,5; 1; 1,5;1 0 ; 2 ; 0 , 4 ; 0 ,0 8 ;2031003;;;10,3; 9,9; 9,5; 9,1;;1,1; 3,3; 9,9; 29,7;;

Question 5Give the value of the letters indicated on the followingscales:5.15,35,4A25 kg5.2B26 kg*5.312B0,1 cmC0,2 cmCQuestion 6Put the following four numbers in the correct position onthe number line below:11;2*1,05;1,3;1,96Question 701BDCA21

7.1Write each of the numbers represented by thefollowing letters as a fraction in its simplest form:A:B:7.2Write each of the numbers represented by thefollowing letters as a decimal:C:D:Question 8When Nicky visited the United States she had toexchange her rands for US dollars. One randwas equal to 0,13 dollars. How many dollars didshe get for R800?Question 9The school tuckshop sells Nestle Mini Bites at70c each. At Pick 'n Pay a bulk pack containing20 Nestle Mini Bites costs R15,98. By how muchdoes the Pick 'n Pay price exceed the tuckshop pricefor each mini bar of chocolate?22

Question 10A monthly season ticket on a train costs R70,35. Thenormal single fare is R2.10.1How many single journeys must be made each monthto make it worthwhile buying a season ticket?10.2What is the saving if 42 journeys are made in onemonth?Question 1111.111.2Saul had saved R454,50 over a period of time.When Stephen asked him how long he had beensaving he said, “I don’t know, but I can tell you that Isave R50,50 a week.” Calculate how many weeksSaul had been saving.If Saul wanted to buy a Ipod Shuffle forR800 in six weeks time, how many morewhole rands would he have to save aweek from now on to make sure he hadenough money altogether?23

Question 12*Steven rode 34,7 kilometres in 25 minutes.12.1How many kilometres did he cover in 1 minute?12.2How many kilometres will he cover in 1 hour?Question 13Mr Mallion’s car travels 619,84 kilometres on 52litres of petrol.13.1How far will Mr Mallion’s car go on 1 litre of petrol?13.2Estimate how many litres of petrol the car will need totravel 100 kilometres.Question 14Mr Cohen’s car’s petrol tank holds 63,5 litres when full.He paid R380,88 to fill up with petrol.Petrol costs 1 035 cents per litre.How much petrol was in his tank before he filled up?24

*Question 15A farmer takes the onions she has grown to market on hertruck. On entering the market she has to take her truckover a weighbridge. On Monday her truck and 35 bags ofonions weighs 3,9 tonnes.On Thursday, her truck and 50 bags of onions weighs4,125 tonnes.15.1What is the mass of one bag of onions?15.2The weighbridge does not allow a load of more than5 tonnes. How many bags of onions will the farmer beable to carry on her truck without exceeding the limit?25

CostingLesson 81.What did Mr Moloto pay for 8,7 m ofcurtaining , if he paid R28,40 permetre?2.A pocket of 18 oranges costs R11,95. Whatwould you be charged for one orange?3.What would you pay for a piece of cheese, if ithad a label like this?GoudaR/kgR37,9526MASS kg0,55

4.Calculate the total cost of each of these shopping lists:4.1.ItemsCost3,08 kg grapes @ R8,60 per kg7,2 kg oranges @ R6,70 per kg3 dozen eggs @ R4,50 / half a dozen6 pawpaws @ R16,70 for twoTotal Cost4.2.ItemsCost4 melons @ R8,95 each36 bananas at R7,99 per dozen12,43 kg grapes at R8,99/kg700 g tomatoes @ R4,50/100 gTotal CostBibliographyH Barry and V Dugmore On Track with Maths Gr 7.Laridon et al. Classroom Mathematics Gr 7 200527

Lesson 1 Conversion of common and decimals fractions 1 Lesson 2 Multiplication and Division by 10, 100, 1 000 7 Lesson 3 Reading Scaled Measurements 9 Lesson 4 Rounding Off 14 Lesson 5 Terminating, Non-terminating and Recurring decimals 16 Lesson 6 Mixed Operations using decimal fractions 18 Lesson 7 Mixed Examples 19 Lesson 8 Costing 26