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SeriesEStudentMy nameMultiplicationand Division

Copyright 2009 3P Learning. All rights reserved.First edition printed 2009 in Australia.A catalogue record for this book is available from 3P Learning Ltd.ISBN978-1-921860-58-4Ownership of content The materials in this resource, including without limitation all information, text,graphics, advertisements, names, logos and trade marks (Content) are protected by copyright, trade markand other intellectual property laws unless expressly indicated otherwise.You must not modify, copy, reproduce, republish or distribute this Content in any way except as expresslyprovided for in these General Conditions or with our express prior written consent.Copyright Copyright in this resource is owned or licensed by us. Other than for the purposes of, andsubject to the conditions prescribed under, the Copyright Act 1968 (Cth) and similar legislation whichapplies in your location, and except as expressly authorised by these General Conditions, you may notin any form or by any means: adapt, reproduce, store, distribute, print, display, perform, publish or createderivative works from any part of this resource; or commercialise any information, products or servicesobtained from any part of this resource.Where copyright legislation in a location includes a remunerated scheme to permit educationalinstitutions to copy or print any part of the resource, we will claim for remuneration under that schemewhere worksheets are printed or photocopied by teachers for use by students, and where teachersdirect students to print or photocopy worksheets for use by students at school. A worksheet is a page oflearning, designed for a student to write on using an ink pen or pencil. This may lead to an increase inthe fees for educational institutions to participate in the relevant scheme.Published 3P Learning LtdFor more copies of this book, contact us at: www.3plearning.com/contactDesigned3P Learning LtdAlthough every precaution has been taken in the preparation of this book, the publisher and authorsassume no responsibility for errors or omissions. Neither is any liability assumed for damages resultingfrom the use of this information contained herein.

Series E – Multiplication and DivisionContentsTopic 1 – Multiplication facts (pp. 1–7)Date completed 5 and 10 times tables// 2 and 4 times tables// 8 times table// 3 and 6 times tables// 9 times table// 7 times table// square numbers// factors and multiples// multiplying by 10 and 100// doubling strategy// split strategy// compensation// choose a strategy// doubling and halving// division is sharing and grouping// division is repeated subtraction// linking multiplication and division facts// remainders//Topic 2 – Using known facts (pp. 8–12)Topic 3 – Mental multiplication strategies (pp. 13–21)Topic 4 – Division (pp. 22–28)

Series E – Multiplication and DivisionContentsTopic 5 – Mental division strategies (pp. 29–33)Date completed dividing by 10 and 100// halving strategy// split strategy// strategy review// contracted multiplication// extended multiplication// short division// short division with remainders// short division with 3-digit numbers// triple product – apply// factor bingo – apply// doubling strategy to 20 – apply// symbols – solve//Topic 6 – Written methods (pp. 34–39)Topic 7 – Games and investigations (pp. 40–44)Series Author:Nicola HerringerCopyright

Multiplication facts – 5 and 10 times tablesThe 5 and 10 times tables are easier if you learn them together.1Answer the 5 times table:21 5 Count in 5s down the ladders:ab5c75402 5 3 5 4 5 5 5 6 5 7 5 3Fill in the missing number for each timestable fact:8 5 a 5 25b 5 459 5 c 5 30d 5 5010 5 e 5 35f 5 40Turnaround factsare the times tablesturned around!3 5 1545 3 15Complete the 5 times table turnarounds.a 5 8 b 5 3 c 5 10 d 5 4 Multiplication and DivisionCopyright 3P LearningE1SERIESTOPIC1

Multiplication facts – 5 and 10 times tables5Answer the 10times table:Write the missingnumbers for these5 times table facts:61 10 a2 10 b3 10 4 10 5c7Write the missingnumbers for these10 times table facts: 5 35a 5 b 10 5 30c 45d 10 15e 10 60 10 70 10 305 10 205 10 d6 10 7 10 5 e 59 8 10 9 10 10 10 8f5 10fg5 20g10 10 Follow the arrows by counting up in 10s:109Multiply each number in the top row by 5 and then by 10: 21459687103510What do you notice?2E1SERIESTOPICMultiplication and DivisionCopyright 3P Learning

Multiplication facts – 2 and 4 times tablesThe 2 and 4 times tables are good facts to learn together.1Complete the skip counting pattern of 2:2244Answer the 2 times table. One is in order, theother is mixed up.3It is useful to be able tomultiply numbers above10 by 2. Try these:1 2 7 2 2 2 10 2 3 2 6 2 4 2 8 2 5 2 1 2 6 2 9 2 16 2 7 2 4 2 17 2 8 2 3 2 18 2 9 2 2 2 19 2 10 2 5 2 20 2 Complete thesedoubling wheels asquickly as you can.Multiplying by 2ais the same asdoubling.1211 2 12 2 13 2 14 2 15 2 20 Double 1318501615Multiplication and DivisionCopyright 3P Learningb1419 Double 1001724E1SERIESTOPIC3

Multiplication facts – 2 and 4 times tablesNow for the 4 times table. The 4 times table is just double the 2 times table.This is handy to remember if you forget a 4 times table fact.57The 2 timestable shouldbe easier, socomplete itfirst. Thendouble eachof the 2 timestable facts toget the 4 timestable facts:1 2 1 4 2 2 2 4 3 2 3 4 4 2 4 4 5 2 5 4 6 2 a 4 8b 4 16c 4 406 4 d 4 247 2 7 4 e 4 128 2 8 4 f 4 369 2 9 4 g 4 2010 2 10 4 h 4 28Hint: Double 16bHint: Double 12 4 4Write the missingnumbers for these4 times table facts:Use the hint to get the answer. Then fill in the missing digit to make the 4 timestable fact complete:a86 4 Look at the numbers in the gridand circle 3 numbers that wouldmake a multiplication fact. Lookfor 2 and 4 facts. They areeither left to right or top tobottom. The first one has beendone for you. There are 10 to find.E1SERIESTOPICHint: Double 18c 4 iplication and DivisionCopyright 3P Learning

Multiplication facts – 8 times tableHere is the 8 times table. You can double the 4 times table to get the8 times table.123Complete the4 times table asquickly as youcan. Then afteryou have checkedthem, double themto complete the8 times table facts:1 4 1 8 2 4 2 8 3 4 3 8 4 4 4 8 5 4 5 8 6 4 6 8 7 4 7 8 8 4 8 8 9 4 9 8 10 4 10 8 Use double, double and double again for these problems:a6 8 b4 8 c9 8 If you get stuck on the 8s,think double, double anddouble again.For example, 3 8Think: d ouble 3 is 6double 6 is 12double 12 is 24On Mia’s calculator, the 8key is broken. Show her thesteps she could follow to findthe answer to 16 8. Use acalculator to test the steps.Multiplication and DivisionCopyright 3P LearningE1SERIESTOPIC5

Multiplication facts – 3 and 6 times tablesHere are the 3 times and 6 times tables together. Can you think of why it’sbetter to learn these facts together?13Use thepicture of thedice aboveto completeboth the3 timestable and the6 times table:Now try thesemixed up:1 6 2 3 2 6 a 3 6 3 3 3 6 b 4 3 4 3 4 6 c 8 3 5 3 5 6 d 9 6 6 3 6 6 e 4 6 7 3 7 6 f 5 3 8 3 8 6 g 8 6 9 3 9 6 h 9 3 10 3 10 6 i 5 6 Fill in the missing digits to make these times table facts complete:a3 d6 gj621 3 5 E1SERIESTOPIC39 b 36e3 27h6 30k 6c 3 18 24f 6 60 42i9 54 48l7 21 26Multiplication and DivisionCopyright 3P Learning

Multiplication facts – 3 and 6 times tables4Match the answers to the questions. Each answer has two matching questions.4 616 3035 334842 831235 108666 62421 6Complete the cross number puzzle:1Across2. 9 32345678Down1. 8 63. 3 64. 10 66. 5 65. 9 68. 7 66. 6 67. 4 69109. 6 310. 7 36What number am I? I am in the 3 times table, 4 times table and 6 times table.I’m not 12.I amMultiplication and DivisionCopyright 3P LearningE1SERIESTOPIC7

Using known facts – 9 times tableIf you get stuck on a 9 times table fact, you can use the 10 times table facts andthen build down.3 9 ?3 10 30 3 So, 3 9 271Think of the 10 facts and build down to get the 9 facts. The first one is done for you. 10 tableBuild down by 9 table1 10 1011 9 92 10 203 10 304 10 405 10 506 10 607 10 708 10 809 10 9010 10 1002Complete the 9: 2648398E2SERIESTOPICMultiplication and DivisionCopyright 3P Learning91057

Using known facts – 7 times tableIf you get stuck on a 7 times table fact, remember the 8 times table fact andbuild down.1Think of the 8 table fact and build down to get the 7 table fact. 8 table23Build down by 7 table1 8 811 7 2 8 1622 7 3 8 2433 7 4 8 324 7 5 8 405 7 6 8 486 7 7 8 567 7 8 8 648 7 9 8 729 7 10 8 8010 7 Add the missing numbers to each fact:a 7 28b 7 35c 7 21d 7 42e 7 49f 7 14Use the 8 to complete the 7: 42619537887Multiplication and DivisionCopyright 3P LearningE2SERIESTOPIC9

Using known facts – square numbersA square number is a number multiplied by itself.11 1 12 2 43 3 912 122 432 9Show these square numbers on the grid and write what they are equal to:a 42 2b 62 c 52 Shade the square numberson this multiplication grid:d 32 e 72 2345246810 12 14 16 18 2036912 15 18 21 24 27 304812 16 20 24 28 32 36 40510 15 20 25 30 35 40 45 50612 18 24 30 36 42 48 54 60714 21 28 35 42 49 56 63 70816 24 32 40 48 56 64 72 80918 27 36 45 54 63 72 81 9067891010 20 30 40 50 60 70 80 90 10010E2SERIESTOPICMultiplication and DivisionCopyright 3P Learning

Using known facts – factors and multiplesWhen 2 numbers are multipled together, the answer is called a multiple.The first 3 multiples of 2 are 2, 4, 6.1 2 22 2 43 2 65, 10, 15, 20, 25, 30, 35, 40, 45, 50 are the first 10 multiples of 5.1List the first ten multiples of each number:a 66b 22c 10d 3e 42Write these numbers in the correct spots on the Venn diagram:8496Multiplesof 23123The space in thediagram where thecircles overlap is whereyou put numbers that areboth multiples of 2 and 3.Multiplesof 3Can you think of any other numbers up to 60 that could go into the overlappingspace in the Venn diagram above?Multiplication and DivisionCopyright 3P LearningE2SERIESTOPIC11

Using known facts – factors and multiplesFactors are numbers that you multiply together to give a multiple.3 6 182 9 18These arrays show some of the factors of 18: 3, 6, 2 and 9.Can you think of any other factors of 18?1Complete the number sentence for each set of arrays and then list the factors.ab c d The factors of 12 are: 2Complete each diagram to show the factors of the number in the middle circle:1224a212E2SERIESTOPICcb16Multiplication and DivisionCopyright 3P Learning30

Mental multiplication strategies – multiplying by 10 and 100When we multiply any number by 10, a zero goes in the units column and thedigits all move one space along to the left.When we multiply any number by 100, a zero goes in both the units and thetens columns and all the digits move two spaces along to the left.ThousandsHundreds41TensUnits45450 10500 100Use the place value tables to multiply these numbers by 10 and 100:acThThHHTU15TU72bThHTU48 10 10 100 100Can you see a patternin each of the tables? 10 1002Use patterns to solve these:a 14 1 14 10 14 100 b 25 1 25 10 25 100 c 82 1 82 10 82 100 Multiplication and DivisionCopyright 3P LearningE3SERIESTOPIC13

Mental multiplication strategies – multiplying by 10 and 100How do you multiply by other multiples of 10? Let’s look at 8 20.We can use known times tables facts and write this as place value amounts:8 2 tens 16 tens So, 8 20 1601234Draw lines from the numbers written as place value amounts to the times tables facts:10 tens14 tens36 tens27 tens12 tens16 tens3 4 tens4 4 tens5 2 tens7 2 tens6 6 tens9 3 tensWrite the digit that represents each place value amount:a 10 tens b 36 tens c 12 tens d 15 tens e 22 tens f 8 tens g 19 tens h 16 tens i 18 tens First complete the hints and then use them to write the facts:Facts:Hints:a 4 6 tens tens4 60 b 9 2 tens tens9 20 c 2 7 tens tens2 70 Complete thenumber wheels:2a14E3SERIESTOPIC754 30103289bMultiplication and DivisionCopyright 3P Learning856 407943

Mental multiplication strategies – doubling strategyThere are many double facts that you should know.This includes numbers outside the times tables we have been working on.Here are 2 double facts that are handy to know:double 50 is 100double 15 is 301Complete these function machines:a2Can you think of 045451850Can you see whatdouble-double is thesame as? Yes, that’s right,it’s the same as 4.Complete these doubling wheels:7a11 Double42189b41 Double 322515Multiplication and DivisionCopyright 3P Learning1250E3SERIESTOPIC15

Mental multiplication strategies – doubling strategyWe also use doubling when we multiply by 4 and by 8.To multiply a number by 4,double it twice.To multiply a number by 8,double it 3 times.10 4 40111 8 88Double 10 once20Double 11 once22Double 10 twice40Double 11 twice44Double 11 three times88Keep doubling to get the 4 and 8 facts. Here are some tables to help you. Thefirst one has been done for you.a12 4 b4815 4 Double 12 once24Double 15 onceDouble 12 twice48Double 15 twicecd18 4 22 4 Double 18 onceDouble 22 onceDouble 18 twiceDouble 22 twiceef16 8 35 8 Double 16 onceDouble 35 onceDouble 16 twiceDouble 35 twiceDouble 16 three timesDouble 35 three timesgIn this last tablechoose a 2-digitnumber to multiplyby 8 and double itthree times.16E3SERIESTOPIC 8 DoubleonceDoubletwiceDoublethree timesMultiplication and DivisionCopyright 3P Learning

Mental multiplication strategies – split strategyThe split strategy is when we multiply numbers in 2 pairs and then add the parts.Let’s use the split strategy for 26 4. Split 26 into 20 and 6. Multiply each part. Add the answers together.26 4 20 4 6 480 24 104So, 26 4 1041Use the split strategy to answer these:a34 3 30 90 3 4 3 So, 34 3 b45 5 So, 45 5 c52 4 So, 52 4 Multiplication and DivisionCopyright 3P LearningE3SERIESTOPIC17

Mental multiplication strategies – compensationUse the compensation strategy to make it easier to multiply 2-digit numbersthat are close to a ten.Look at 4 19.19 is close to 20, so we can multiply by the next multiple of ten which is 20.Then we build down because we have an extra group of 4.4 19 4 20 80 – 4So, 19 4 761Use the compensation strategy to answer these:a 5 29 5 So, 5 29b 3 49 3 So, 3 49c 4 39 4 So, 4 392– – – Use the compensation strategy to answer these questions.This time you need to look for more than one extra groupto subtract:a 4 18 4 –So, 4 18 b 3 17 3 18 –So, 3 17 E3SERIESTOPICMultiplication and DivisionCopyright 3P LearningWe have rounded upto 20. So instead of4 18 we have 4 20.This is 2 more groupsof 4. So we subtract 8.

Mental multiplication strategies – choose a strategy1Roll a die to get the missing number, then use either the split orcompensation strategy to get the answer. You can place the numbersrolled on the die in any question.a 25 So, 25 b 36 So, 36 c 49 So, 49 d 58 So, 58 Multiplication and DivisionCopyright 3P LearningE3SERIESTOPIC19

Mental multiplication strategies – doubling and halvingWe can change the factors of a multiplication question to make it easier. Lookat 16 3. If we halve the largest factor and double the smaller factor, we makean array on the grid that is the same size. Both arrays have the same amount ofsquares. Count the squares, are they equal to 8 6?16 Halve813Double 6 Make these problems easier by using doubling and halving. Shade an array for each:a18 Halve3Double b14 HalveE3SERIESTOPIC 4Double 2048 Multiplication and DivisionCopyright 3P Learning

Mental multiplication strategies – doubling and halving2Use the doubling and halving strategy to solve these:a14 HalveDouble c16485Double d5Double Halve Halve3b364 Halve 5Double Follow this doubling and halving trail through to the bottom:a Halve8b HalveDouble 56 ?8c HalveDouble 35 ?8Double So, 8 56 So, 8 35 45 ?So, 8 45 d What do you notice?Multiplication and DivisionCopyright 3P LearningE3SERIESTOPIC21

Division – division is sharing and groupingDivision can mean sharing or grouping.There are 12 lollies shared between 4 kids. How many are in each share?12 4 3There are 16 apples and 4 go into each basket. How many baskets do I need?16 4 41Solve these sharing and grouping questions:a There are 9 cupcakes and 3 kids are sharing. How many are in each share? b 10 lollies are shared between a group of kids so they each get 2. How many kidsare sharing? c There are 24 pencils and 6 pencil pots. How many pencils go into each pencil pot? 22E4SERIESTOPICMultiplication and DivisionCopyright 3P Learning

Division – division is sharing and grouping2Draw pictures to show thesedivision questions. Then write thedivision fact and decide whether itis a sharing or a grouping question.If you need to find outhow many items thereare in each share, it’sa sharing question. Ifyou need to find out thenumber of equal shares,it’s a grouping question.a Divide 16 lollies between 4 girls. How many does each girl get? sharing / groupingb From a packet of 24 pencils, each person will get 6. How many people aresharing the pencils? sharing / groupingc 48 eggs are laid by 6 hens. If they all laid the same amount, how many dideach hen lay? sharing / groupingMultiplication and DivisionCopyright 3P LearningE4SERIESTOPIC23

Division – division is repeated subtractionDivision can also be thought of as repeated subtraction.Look at 30 5 ? This question is asking how many groups of 5 there are in 30.Jump in 5s along the number line and then count the jumps.6 55 5014 55103 52 515So, 30 5 61 5202530Show these division facts as repeated subtraction. First label the number lines andthen show the jumps.a 36 6 036b 21 3 0221Write a division fact to match these number lines. Show the jumps.a 0b4 024 84SERIESTOPIC16202428 8E1216Multiplication and DivisionCopyright 3P Learning2432

Division – linking multiplication and division factsKnowing multiplication facts will help with division facts. This is because theyare opposites. Look at how we can describe this array:16 groups of 4 is 24.4 6 244 groups of 6 is 24.24 4 624 divided into 4 shares is 6.24 6 424 divided into 6 shares is 4.Describe each of these arrays using two multiplication and two division facts:ac26 4 24 b dDraw an array of 6 rows of 3 then describe it with multiplication and division facts. Multiplication and DivisionCopyright 3P LearningThis is also calleda fact family.E4SERIESTOPIC25

Division – linking multiplication and division facts3Write a fact family for each set of numbers in the triangle. The first one has beendone for you.abcd45 7 357 5 35 357535 5 735 7 5279348684085 For these problems, think of a multiplication fact to help write the division fact:a 25 is shared between 5 people. How much does each person get? b 45 people get into 9 cars. How many people are in each car? 26E4SERIESTOPIC Multiplication and DivisionCopyright 3P Learning

Division – remaindersSometimes division is not exact.From 13, we can make 2 fair shares of 6 with1 left over. We call the left over the remainder.13 6 2 remainder 11In each array, ring the fair shares to see the remainder:a22 5 remainder19 6 remainder31 7 remainder31 9 remainderbcdMultiplication and DivisionCopyright 3P LearningE4SERIESTOPIC27

Division – remaindersNow use your multiplication facts.25 6 Think?So,225 6 4 remainder 1Use your multiplication facts to write the division facts and the remainder:a 32 10 b 30 4 c 37 9 34 6 24 1 is 25?Think isSo, remainderThink So, remainderThink So, remainderisisComplete each word problem:a 39 pencils were shared between 6 kids. How many did each kid get? remainderb 43 fish were divided between 6 tanks. How many fish are in each tank? remainderc From 17 flowers, 5 flowers were arranged in each vase. How many vases were used? 4 remainderWrite in the missing digit to make this statement true: 6 8 remainder 228E4SERIESTOPICMultiplication and DivisionCopyright 3P Learning

Mental division strategies – dividing by 10 and 100When we divide anynumber by 10, we movethe number one placevalue space to the right.Thousands Hundreds6When we divide anynumber by 100, we movethe number two placevalue spaces to the right.1c3Units700670 1067 100Use the place value tables to divide these numbers by 10 and 100.a2TensThHTU5300ThHTU8400bThHTU4100 10 10 100 100dThHTU2400 10 10 100 100Use patterns to solve these:a 1 400 1 1 400 10 1 400 100 b 5 600 1 5 600 10 5 600 100 b 3 500 1 3 500 10 3 500 100 Use a calculator tosolve these:a 270 100 Multiplication and DivisionCopyright 3P Learningb 49 10 E5SERIESTOPIC29

Mental division strategies – halving strategyWhen you halve numbers you aredividing them by 2. In this functionmachine, numbers go IN, have the ruleapplied and come OUT e100Below is a halving-halving function machine. The number goes IN and is halvedand then halved again and comes omplete the halving function machines. Halve the number going IN the machineand write the answer in the OUT column:a2OUTE5SERIESTOPICMultiplication and DivisionCopyright 3P Learning

Mental division strategies – halving strategyWe also use halving-halving to divide by 4. Look at these diagrams:Halve 16 onceHalve 16 twice48416483Use the tables for halving-halving to divide by 4:ace44b80 4 48 4 Halve 80 onceHalve 48 onceHalve 80 twiceHalve 48 twiced64 4 120 4 Halve 64 onceHalve 120 onceHalve 64 twiceHalve 120 twicef244 4 88 4 Halve 244 onceHalve 88 onceHalve 244 twiceHalve 88 twiceComplete thedivision wheels:14 82a9042 230 705620Multiplication and DivisionCopyright 3P Learningb36 846020052 412 8844E5SERIESTOPIC31

Mental division strategies – split strategyDivision problems can be much easier to solve if yousplit the number.125 5100 25 5 520 5 25Look at 125 5.Can we split the number into two multiples of 5?Yes, we can split 125 into 100 and 25.We divide each part by 5 and then add the two answers together.1Use the split strategy to divide these by 5:a115 b5135 5 5 5 64 b4116 4 4 4 4 4 Use the split strategy to divide these by 3:a330 b3612 3 32 5Use the split strategy to divide these by 4:a35 2 E5SERIESTOPIC 3 3 3 Multiplication and DivisionCopyright 3P Learning 3

Mental division strategies – strategy reviewReview your division strategies.1Use either the halving strategy or the split strategy to complete the tables. The firstone has been done for you.aUse the split strategy:48 3 bUse the halving strategy:64 4 1648 is 30 1830 3 10 and 18 3 610 6 16cUse the split strategy:d312 3 2Use the halving strategy:140 4 Solve this riddle by matching the letter to the answer. Use a mental divisionstrategy for each problem.What is it that the more you take, the more you leave behind?68 4 s90 6 p135 5 e1 200 10 f240 4 o128 4 t1206060321732Multiplication and DivisionCopyright 3P Learning271517E5SERIESTOPIC33

Written methods – contracted multiplicationH1TUStart with the units. 4 3 12 units.54Rename this as 1 ten and 2 units. Put the 2 in the unitscolumn and regroup the 1 to the tens column. 31162Rename this as 1 hundred and 6 tens.Practise these problems:aHTU42 b9dHTU26 23 5 plus the regrouped 1 is 16 tens.HTU38 e47HTU55 HTU25 f84HTU62 7Use contracted multiplication to solve these word problems:a On a farm, 6 lambs were born everyday over 25 days. How many lambswere born in total?HTb For my school fete day, I baked9 trays of cupcakes. If there are14 cupcakes on each tray, howmany did I bake in total?UH 34cE6SERIESTOPIC Multiplication and DivisionCopyright 3P LearningTU

Written methods – extended multiplicationHTU34 1112(3 4)90(3 30)02Practise these problems:aHTU23 cb4H 2In extended multiplication, we multiplythe units and tens separately, then addthe answers together.3TU74HTU36 5(4 3)(5 6)(4 20)(5 30)d6HTU52 7( )( )( )( )HUse extended multiplication to solve thisword problem:In a pet store, there are 7 tanks of tropicalfish with 14 fish per tank.How many fish are there altogether?U Multiplication and DivisionCopyright 3P LearningT( )( )E6SERIESTOPIC35

Written methods – short divisionAnother way to represent division is with the division symbol.TU66136If the answer is a single digit, it should go in theunits column.Solve these division problems using the division symbol:ab535dc428e654g25214749Use the division symbol to solve each problem:b How many pots were used if 6 seeds were planted in eachpot from a packet of 54?c I run the same distance each day. Over 9 days the totaldistance is 72 km. How far did I run each day?E6SERIESTOPIC18416848ia 42 cupcakes were iced by 7 kids. If they each iced the sameamount, how many did they ice each?369fh52This is the same as 36 6 6Multiplication and DivisionCopyright 3P Learning

Written methods – short division with remaindersThis is the way we write remainders when using the division symbol.261This is the same as 15 6 2 remainder 3.r3Check your work with the closest multiplication fact:6 2 125Then add on the remainder: 12 3 151Solve these division problems and then check them. Check with the multiplicationrafact and add the remainder:82 7 Check with the multiplicationrbfact and add the remainder:9c 4 5 Check with the multiplicationrfact and add the remainder:52 8 Check with the multiplicationrfact and add the remainder:6d34 8 What is the question if I am checking with this multiplication fact?r5 6 30 3Multiplication and DivisionCopyright 3P LearningE6SERIESTOPIC37

Written methods – short division with 3-digit numbersIn short division with 3-digit numbers we split the number:468 is 400 60 8400 divided by 2 is 200, so we put a 2 in the hundreds place.60 divided by 2 is 30, so we put a 3 in the tens place.28 is divided by 2 is 4, so we put a 4 in the units place.1234TU234468Practise splitting these:a 368 is b 445 is c 567 is d 235 is Now put these split numbers back together:a 500 70 8 isb 700 90 4 isc 200 40 6 isd 800 50 5 isSolve these division problems with 3-digit numbers:a4844b3693c2842d2488Here are two division problems with missing numbers in the questions. Find outthe missing numbers by using the numbers that are part of the answer as clues.14a38HE6SERIESTOPIC234b3Multiplication and DivisionCopyright 3P Learning36

Written methods – short division with 3-digit numbersSometimes we need to split the number a different way,for example: 515 500 15500 divided by 5 is 100, so we put a 1 in the hundreds place.15 divided by 5 is 3, so we put a 3 in the units place.What goes in the tens place?5A zero does. The zero has the very important job ofkeeping the other numbers in their place!5TU103515Practise these problems. We have put the zero in to remind you:0a48102b390c6H3912402d4824Practise these problems. This time, you need to remember the zero!a3918b6612c4832d4816Multiplication and DivisionCopyright 3P LearningE6SERIESTOPIC39

Triple productGettingreadyWhatto do40applyThis is a game for 2 players. You will need a copy ofthis page, 6 counters each and 3 dice.copyPlayer 1 rolls all 3 dice and chooses 2 of the numbers to multiply.If the player can see the answer in the grid, they claim this numberby placing a counter over the number. Then Player 2 has a turn.The winner is the first to place all 6 counters on the ERIESTOPICMultiplication and DivisionCopyright 3P Learning

Factor bingoGettingreadyapplyThis is a game for three players. Each player needs acopy of this page. The caller needs a pile of the numbersfrom 1 to 9.Whatto docopyEach multiplication grid contains all the answers, while the factorsare missing. Remember factors are the numbers that you multiplyto get the answer.The aim of the game is to be the first player to fill their grid withthe factors. One hint is provided in each grid to start you off.Choose one person to be the caller and the other two play theround. The caller picks a number without looking and reads it outto the players. The players write it on the grids, if it fits as a factor.The first to fill in one of the grids completely is the winner. 162738495 6 42 24 1812 20 2863 36 2718 30 4235 20 1527 45 63 33 98 40 64414 183 15 24279 45 7212 42 54Multiplication and DivisionCopyright 3P Learning9E7SERIESTOPIC41

Doubling strategy to 20GettingreadyWhatto doThis is a game for two players. You will need a copy ofpage 43, a die and a pencil to write down your scores. Youmay like to ma

Multiplication facts – 2 and 4 times tables Now for the 4 times table. The 4 times table is just double the 2 times table. This is handy to remember if you forget a 4 times table fact. The 2 times table should be easier, so complete it first. Then double each of the 2 times table facts to get the 4 times table facts: Write the missing