Still having trouble with multiplication? This book provides you with easy to un-

derstand examples and activities that will improve your multiplication of whole

numbers. Come check it out!

Let’s Learn Our Multiplication!!!!!

2

Page No.

Definition & Purpose of Multiplication 3

Properties of Multiplication 4

Facts of 2 6

Facts of 4 7

Facts of 5 8

Facts of 9 9

Facts of 10 10

Other Basic Facts 11

Multi Digit Multiplication 12

Lattice Method 14

Resources 15

Table of Contents

3

Multiplication is a quick way to add.

Definition and Purpose of Multiplication

Example:

3 + 3 + 3 + 3 + 3 =15

Is the same as

3 x 5 =15

3(5) = 15

3 • 5 = 15

Multiplication Symbols

X ( ) •

Words to Know

Product:

The solution or answer to

a multiplication problem.

Commutative Property

Multiplying numbers in

any order will result in

the same answer.

Rewrite the following problems using other multiplication symbols.

1) 2 x 2 x 2

2) (6) (6) (6) (6) (6)

3) 8 • 8

4

2

Commutative Property of Multiplication:

Multiplying the numbers in any order will result with

the same product.

Example:

1) 2 x 3 = 3 x 2 = 6 2) 5 x 9 = 9 x 5 = 45

Properties of Multiplication

Zero Property

Any number multiplied by

zero equals to zero.

8 x 0 = 0

2 x 0 = 0

Property of 1

Any number multiplied by

1 equals to the

Number itself.

7 x 1 = 7

1 x 7 = 7

5

Properties of Multiplication

Important Fact

Feeling frustrated learning all these multiplication

facts! With these 3 properties, memorizing these facts

can be much easier. Let us see why?

1 2 3 4 5 6 7 8 9 10 0

0 0 0 0 0 0 0 0 0 0 0 0

1 1 2 3 4 5 6 7 8 9 10 0

2 2 4 6 8 10 12 14 16 18 20 0

3 3 6 9 12 15 18 21 24 27 30 0

4 4 8 12 16 20 24 28 32 36 40 0

5 5 10 15 20 25 30 35 40 45 50 0

6 6 12 18 24 30 36 42 48 54 60 0

7 7 14 21 28 35 42 49 56 63 70 0

8 8 16 24 32 40 48 56 64 72 80 0

9 9 18 27 36 45 54 63 72 81 90 0

10 10 20 30 40 50 60 70 80 90 100 0

Remember the commutative property allows us to

multiply Numbers in any order. Therefore if we know

4 x 6, we don’t have to memorize 6 x 4 because the

results will be the same. So, instead of learning 100

facts, count for yourself, you only have to learn 55 facts. Learn

the highlighted facts or the facts for 2, 4, 5, 9, 10 and 10 more

to go, and you’re on your way to knowing the multiplication table.

6

Facts of 2

2 2

2

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

2 x 5 = 10

2 x 6 = 12

2 x 7 = 14

2 x 8 = 16

2 x 9 = 18

2 x 10 = 20

To learn the facts of 2. Just double the

number that’s all you do.

Example

2 x 4 = 6 double 4 you get 8

2 x 6 = _ double 6 you get __.

Use the multiplication tip for 2, to deter-

mine the amount of slippers?

7

Facts of 4

4 x 3 = 12

4 x 4 = 16

4 x 5 = 20

4 x 6 = 24

4 x 7 = 28

4 x 8 = 32

4 x 9 = 36

4 x 10 = 40

To multiply by 4 double the number then

double again.

Use the multiplication tip of 4, to deter-

mine the amount flowers in the garden?

Click on the highlighter to watch and sing along to help you learn the facts of 4!

8

Facts of 5

5 x 3 = 15

5 x 5 = 25

5 x 6 = 30

5 x 7 = 35

5 x 8 = 40

5 x 9 = 45

5 x 10 = 50

The product for multiplying by 5’s ends in

0 or 5. Every even number multiplied by 5

ends in 0 and every odd number ends in 5.

Who wants to be a millionaire?

Count the number of 5 dollar bills

5 x 4 = 20

Use the facts of 5 to count

how much money you have?

Use the facts of 5 to count

how much money you have?

9

Facts of 9

9 x 3 = 27

9 x 6 = 54

9 x 7 = 63

9 x 8 = 72

9 x 9 = 81

9 x 10 = 90

Use your addition and subtraction skills.

When multiplying by 9, the digits of the

product add up to 9. First subtract 1 from

the other number then add a number to

To find the product of 9,

9 x 4 =

9 x 4 = 3 First subtract 1

from 4. You get 3.

9 x 4 = 3 Think 3 + __ = 9

3 + 6 = 9

9 x 4 = 36

Tip # 1: Digits of the product

add up to 9.

9 x 2 = 18 ( 1 + 8 = 9)

9 x 8 = 72 ( 7 + 2 = 9)

10

Facts of 10

10 x 3 = 30

10 x 6 = 60

10 x 7 = 70

10 x 8 = 80

10x 10 = 100

It takes seconds to multiply by 10. Just

put a zero at the end.

10 x 3 = 30

Rewrite the number

you multiply by 10.

Then put a zero at

the end.

Ready Set Go. Multiply these numbers by 10.

1) 4 x 10 =

2) 8 x 10 =

3) 10 x 2 =

11

10 more to the finish line

3 x 3 = 9

3 x 6 = 18

3 x 7 = 21

3 x 8 = 24

6 x 6 = 36

6 x 7 = 42

6 x 8 = 48

7 x 7 = 49

7 x 8 = 56

8 x 8 = 64

Just 10 more facts to go….. Spend some

time memorizing these facts and you just

learned the complete multiplication table.

Click on race car and challenge others online to

see if you will be the next race car champ.

Ready Set Go! Play and keep track of your

speed and accuracy with the multiplication

facts. Click on the picture below.

12

Multi-digit multiplication

Now that you know your multiplication facts. You are

ready to multiply any number.

Every digit in a number belongs to a place. For example, in the

number 345,654, the digit 6 belongs in the

Hundreds place. Can you determine the place for the digit 3?

Remember that the maximum value for each place is 9. Any-

thing larger would move to the next place.

Place Value Review

Determine the place for each digit in red

1) 587,421,040 2) 912,003 3) 581,113,002

Complete the statement

1) 40 ones = __ tens 2) 300 ones = __tens = __ hundreds

13

1

Multi-digit multiplication

To multiply multi-digit numbers such as 3,423 x 45. Re-write

the problem vertically.

Break down into 2 problems

3,423 x 5 and 3423 x 4.

Multiply 3,423 x 5

Multiply 3,423 x 4. Since 4

is in the 10’s place, write the

product starting in the 10’s

place which is underneath

the 1 (highlighted in green)

3 4 2 3

X 4 5

1 7 1 1 5

1 3 6 9 2

1 5 4 0 3 5

Add.

5 7 2 1

X 5 9

Use the lines to align your partial

products. 1 2 8 4

X 7 1

14

Try

1

Lattice Method

Here’s another way of multiplying multi-digit numbers.

Find the product of 67 x 32

Click on the window to watch a tutorial

Try using this method for this problem

86 x 54

More Practice

1) 95 x 28 = 2) 22 x 76 =

3) 134 x 310 = 4) 592 x 412 =

15

1

Resources

Bees Knees Dance Party ( 2011, September 18). 4 times table. Retrieved March 13, 2012

from: http://www.youtube.com/watch?

v=pJ0T9YScLeM&feature=plcp&context=C45babfeVDvjVQa1PpcFPMlMXIITkaTQpzzi

zr0gLx48Vn8JYvKzs%3D

Five dollar bill image. Retrieved March 13, 2012 from: http://www.cksinfo.com/money/

bills/page4.html

Math rocks cover page. Retrieved March 13, 2012 from: http://www.meridianschool.edu/

blog/third-grade-blog

Place value chart. Retrieved March 13, 2012 from: http://www.mathatube.com/place-value-

charts.html