Math multiplication and division l3

Previously published as Reading & Math Jumbo Workbook Grade 3, Summer Express 2-3 and 3-4, Success with Multiplication Facts 3-4, Success with Multiplication & Division Grade 3 by Schola

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This book belongs to

Multiplication and Division

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Previously published as Reading & Math Jumbo Workbook Grade 3, Summer Express 2-3 and 3-4, Success with Multiplication Facts 3-4, Success with Multiplication & Division Grade 3

by Scholastic Inc.

This edition published by Scholastic Education International (Singapore) Private Limited

A division of Scholastic Inc.

No part of this publication may be reproduced in whole or in part, or stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise without the written permission of the publisher For information

regarding permission, write to:

Scholastic Education International (Singapore) Private Limited

81 Ubi Avenue 4 #02-28 UB.ONE Singapore 408830

education@scholastic.com.sg

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Helping your child build essential skills is easy!

These teacher-approved activities have been specially developed to make learning

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Instant assessment to ensure

your child really masters the skills.

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child’s leap in learning.

The focus of each activity

The read-aloud instructions are easy for your child to understand.

Meaningful learning

Each activity has been

carefully designed to

make your child’s learning

meaningful and fun.

Instant assessment to ensure

Multip Practice Testlication and Division

Fill in the bubble next to the correct answer.

Motivational cut- and- paste stickers to mark the

milestones of your child’s learning path.

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multiplication review 38

multiplying using 10 and 100 39

word problems on multiplication 40–41 understanding division 42

dividing by 2 and 3 43–44 dividing by 4 and 5 45–46 dividing by 6 and 7 47–48 dividing by 8 and 9 49–50 dividing 2-digit dividends without remainders 51–52 dividing with remainders 53–54 dividing 2-digit dividends with remainders 55–56 division 57

finding missing dividends 58

word problems on division 59–61 identifying fact families 62–63 multiplying with zeros 64

dividing with zeros 65

understanding commutative property 66

breaking up and regrouping numbers for easier multiplication and division 67

word problems on multiplication and division 68–69 Multiplication and Division Practice Test 70–74 Answer Key 75–78 Certificate 79

80

Multiplication and Division 5

using a number line 6

using the concept of grouping 7

using arrays 8

using coordinate grids 9

multiplication facts of 4 10

multiplying by 4 and 5 12

multiplying by 2 to 5 13

multiplying by 6 and 7 14

multiplying by 8 and 9 16–17 multiplying by 0 to 9 18

multiplication facts up to 10 19

multiplication facts of 11 20–21 multiplication facts of 12 22–23 multiplying up to 12 24

multiplication facts up to 12 25

multiplying 3 factors 26

multiplying 2-digit top factors without regrouping 27–28 multiplying 3-digit top factors without regrouping 29–30 multiplying 2-digit top factors with regrouping 31–33 multiplying money 34

multiplying two 2-digit factors

with regrouping 35–36

multiplying 3-digit top factors

with regrouping 37 Cut- and- P aste Stickers

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When you multiply, you add a number to itself a number

of times For example: 4 + 4 + 4 + 4 + 4 = 20 or 4 × 5 = 20

Multiplying is a quick way to add things up.

When you divide, you group numbers into equal parts In

the example 10 ÷ 2 = 5, you group 10 into 2 equal parts of 5

To check your answer, you do the opposite of division — you

multiply 5 × 2 = 10.

Sometimes you can’t group all the numbers into equal parts In

those cases you will have a remainder, a number left over For

example: 38 ÷ 6 = 6, remainder 2.

What to do

Have your child solve the multiplication and division problems

on the activity pages Review the answers with your child

Remind your child that he or she can check the division problems

by multiplying In the example 38 ÷ 6 = 6 remainder 2, multiply

6 × 6 + 2 = 38 Your answer is correct! An answer key is

provided at the back of the book for your convenience.

Keep On Going!

Show your child that math can be fun by playing a

multiplication/division game together Give your child a

multiplication problem and have him or her solve it and then

turn it into a division problem to check the answer

For example:

7 × 4 = 28

28 ÷ 4 = 7 or 28 ÷ 7 = 4

Multiplication and Division

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using a number line

A number line can be used to help you multiply One factor tells you how long each

jump should be This is like skip-counting the other factor tells you how many jumps

2 × 5

0 × 3

3 × 2

2 × 7

4

× 2

3 × 3

1 × 3

6 × 2

0 × 2

3 × 1

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Date:

using the concept of grouping

Multiplication is repeated addition using equal groups The numbers being multiplied

together are called factors The answer is called the product.

On another sheet of paper, write your own word problem that involves repeated addition using equal groups Ask a friend to solve it by drawing a model.

scored 3 points in each game How

many points did they score in all?

(Draw a box for each point.)

4 hockey sticks How many sticks

do they have?

Charlie’s coach bought 3 bags of hockey pucks

There are 4 pucks in each bag How many pucks

did he buy altogether?

This problem can be solved by drawing a model.

+ + = 12 pucks

3 × 4 = 12 pucks

factor factor product

There are 3 equal groups of 4 pucks.

Example

Read the problem and draw a model to show your answer.

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Date:

using coordinate grids

5 4 3 2 1

A multiplication sentence can be diagrammed on a coordinate

grid To show 5 × 4, use the factors as the ordered pair (5, 4)

Then go over 5 and up 4 on the grid, and mark the point where

the lines intersect to make a rectangle Finally, count all the

squares in the rectangle.

6 5 4 3 2 1 0

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multiplication facts of 4

Tracy was missing 4 buttons on 11 different shirts How many buttons does she need WR¿[DOOWKHVKLUWV"

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U 4 × 4

P 7 × 4

I 5 × 5

S 2 × 5

1 × 4

R

E 1 × 5

2 × 4

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multiplying by 2 to 5

The bike team has 4 members Each biker rides 9 km every day How many km does WKHWHDPULGHHYHU\GD\DOWRJHWKHU"

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a number sentence.

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7 8

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8 × 7

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Circle the problem in Row 5 with the same product as 2 × 4

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of what the frame might look like.

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Look at each multiplication sentence If the product is correct, circle

it If the product is incorrect, cross it out and write the correct

product above it.

When multiplying the factor 11 by a number from 1 to 9GRXEOHWKHQXPEHUWR¿QGWKHSURGXFW

Examples: 11 × 5 = 55 11 × 7 = 77

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8

=

8

× 11 =

10 × 11 =

11 × 1

0

=

0 × 11 =

Multiply If the multiplication sentence is a “tuffy,” color the space

blue If it is a double, color the space yellow

The rest of the multiplication facts with a factor of 11 are: 11 × 0 = 0, 11 × 10 = 110,

11 × 11 = 121, and 11 × 12 = 132 Since you cannot just double the number being multiplied

by 11, these are the “tuffys.”

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Date:

Multiply Then circle the number word for each product in the

puzzle The words will go across, down and diagonally.

U W T U U V N E S E X V I E U O V U

N F O N I N E T Y – S I X U V N U N

D R O D G H D R H G L O T Y D E R D

R Q U R U W U R H V I W Y R D F N R

E R C E N T K O E B E S O E Z T O E

D I Z D N H D H I D E N E N S E R D

T P G E R I L U G H T Y T I E T R F

H D S I X R E T H I R W X Y V Y M O

I B C G D T A T T D J J E O E F S R

R Q I H W Y T D Y W F K K N N I O T

T E O T L – R X – N E F O R T X U Y

Y H D R E S E E F Q I L L Y Y Y T –

– B M T N I B E O J G B V V – A Y F

T H I R H X C O U N H T C E T Y I O

W O A T Y G Y P R T Y N K T W E R U

O P F O R T Y – E I G H T Z O C J R

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Date:

Write a multiplication fact on each blank

using 12 as a factor for the product on each

wastebasket Use a different sentence for

each product.

Elizabeth wrote 12 different multiplication sentences on each of 6 different pieces

of paper After solving all the problems, she discovered 5 of the problems had the same product On another piece of paper, show how many multiplication sentences Elizabeth wrote in all Then write 5 multiplication sentences with the same product.

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0 × 11

=

8 × 4 =

4 × 9 =

5 ×

5 =

7 ×

Canoe the river.

Climb up.

Hike the trail.

Go through the pipe.

Use a stopwatch to time how long it takes to multiply around the obstacle course.

multiplying up to 12

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Date:

Multiply Then use the code to answer the riddle below

Why are multiplicationists so successful?

multiplication facts up to 12

G H I L M

N O P Q R

S T U V Y

96 30

36 36 40

0 64 20

16 132 36 42 24 49 18 21

49 49 20 20

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Date:

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¿HOG7KHQPXOWLSO\WKHQXPEHURQHDFKEDVHLQRUGHU:ULWHHDFK product on home plate.

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Date:

multiplying 2-digit top factors without regrouping

Multiply Then use the code to answer the riddle below.

What kind of dancers are math teachers?

To multiply a two-digit number by a one-digit number, follow these steps.

1 Multiply the ones digit 2 Multiply the tens digit.

34

× 2 8

34

× 2 68

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Date:

47

× 6 282

multiplying 2-digit top factors with regrouping

Sometimes regrouping will be needed when

multiplying with a two-digit number Follow these

steps to solve the problem.

24 + 4 = 28

47

× 6 2

Multiply Remember to regroup.

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Date:

Multiply Regroup inside each leaf Then use the code to

answer the riddle below.

Where does a tree keep its money?

318 204 117 108 184 204 310 504 184 204 112

!

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Multiply Remember to regroup if needed.

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Date:

Write a multiplication sentence for each problem Multiply.

What is the cost of 4 hot dogs?

You bought 3 sodas and 2 pretzels

How much did you spend?

× = ¢ × = ¢ + = ¢

soda 95¢

popcorn 29¢

snow cone 43¢

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2 7 6 + 9 2 0

3

 $GGWR¿QG the product.

2 7 6 + 9 2 0

1, 1 9 6

3 1

Multiply Then use the code to answer the riddle below.

What horses like to stay up late?

To multiply with a 2-digit factor that requires regrouping, follow these steps.

Each of Farmer Gray’s 24 horses eat 68 kg of hay How many kg of hay do the horses HDWDOWRJHWKHU"

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Date:

multiplying two 2-digit factors with regrouping

Solve the problems If the answer is even, connect the dot beside each problem to the heart on the right- and left-hand sides of the circle If the answer is odd, do nothing Two lines have been drawn for you.

× 20

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Date:

multiplication review

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On another sheet of paper, make up your own multiplication tic-tac-toe game.

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Date:

multiplying using 10 and 100

7RPDNHHDV\QXPEHUV¿UVWPXOWLSO\QXPEHUVWKDWUHVXOWLQHLWKHURU7KHQPXOWLSO\ the rest of the numbers in the equation For example:

2 × 9 × 5

= (2 × 5) × 9

= 10 × 9

= 90

Make easy numbers to solve the problems below

Draw a line to match the problem to the answer

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Date:

word problems on multiplication

each hole with 78 scoops of dirt How many scoops did his dad need in all?

did he chew altogether?

treats Each box has 48 treats How many treats in all did Adrienne buy?

On another piece of paper, write your own Barky word problem Solve.

Write a number sentence for each problem on pages 40 and 41 Solve.

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Date:

word problems on multiplication

did Terri pay the vet?

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around the block in 5 days?

Write more Barky word problems Solve.

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Date:

understanding division

Solve the following problems by drawing a picture Draw the number

of birds you think need to go in each cage (Hint: Each cage must have the same number of birds.) Then complete the number sentence.

5 new cages he bought How many birds will he put in each cage?

To divide means to make equal groups The total number being divided is called the

dividend The number of groups the total is to be divided into is called the divisor The

answer is called the quotient 6 ÷ 2 = 3

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If she tied 4 ribbons on each kite,

how many kites does Lisa have?

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zoo They traveled in 7 vans How many

students were in each van?

they found it was divided into 6 rooms The

same number of monkeys were in each room

There were 24 monkeys in all How many

monkeys were in each room?

MONKEY HOUSE

1.

2.

4.

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2.

4.

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Date:

Divide.

1 Divide the tens digit

in the dividend by the

divisor Write the

answer above the

Bring down the ones digit.

3 Divide the ones digit

by the divisor Write the answer above the ones digit Multiply Subtract.

dividing 2-digit dividends without remainders

Use these steps when dividing with greater dividends.

0 4 –4 0

4 8 4

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Date:

Divide.

dividing 2-digit dividends without remainders

1 Divide the tens digit by

the divisor Multiply

Subtract.

2 Bring down the ones digit

Divide this number by the divisor.

3 Multiply Subtract Remember to follow each step when dividing larger numbers.

1

–3 1

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Date:

Divide.

There are 5 groups of

3 with 1 left over.

dividing with remainders

Louie jumps hurdles for his track meet He jumps the same number in each race In KLVODVWUDFHVKHMXPSHGKXUGOHV+RZPDQ\KXUGOHVGLGKHMXPSHDFKGD\"

Think: 5 × is the closest to 16?

5 16

Sometimes when you try to divide a number into equal groups, part of the number is left over

This is called the remainder8VHWKHVHVWHSVWR¿QGWKHUHPDLQGHU

–1 5 1

5 1 6

3 R 1

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