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Multiplication / Division

 

 

Multiplication

 

 

Learning to Multiply by 0s

Learning the 9s
 9 x 0 = 0  9 x 7 = 63
 9 x 1 = 9  9 x 8 = 72
 9 x 2 = 18  9 x 9 = 81
 9 x 3 = 27  9 x 10 = 90
 9 x 4 = 36  9 x 11 = 99
 9 x 5 = 45  9 x 12 = 108
 9 x 6 = 54  

 

A fun way to get used to the numbers you will be working with in this time table is to skip count ...

0, 9, 18, 36, 45, 54, 63, 72, 81, 90, 99, 108

Be sure to practice skip counting backwards !

108, 99, 90, 81, 72, 63, 54, 45, 36, 27, 9, 0

 

Do you remember all the combinations you add together to make 9?  Excellent, because now you will use them all !

 

the products of the 9s times will add up to 9 !
 2 x 9 = 18 (1 + 8 = 9)  6 x 9 = 54 (5 + 4 = 9)
 3 x 9 = 27 (2 + 7 = 9)  7 x 9 = 63 (6 + 3 = 9)
 4 x 9 = 36 (3 + 6 = 9)   8 x 9 = 72 (7 + 2 = 9)
 5 x 9 = 45 (4 + 5 = 9)   9 x 9 = 81 (8 + 1 = 9)

 

Another Nine's trick:  A number is divisible by 9, if the sum of its digits is divisible by 9

 

Give the answers, reading across the graph
 9 + 9 = ?  Two 9s = ?  9 x 2 = ?
 9 + 9 + 9 = ?  Three 9s = ?  9 x 3 = ?
 9 + 9 + 9 + 9 = ?  Four 9s = ?  9 x 4 = ?
 9 + 9 + 9 + 9 + 9 = ?  Five 9s = ?  9 x 5 = ?
 9 + 9 + 9 + 9 + 9 + 9 = ?  Six 9s = ?  9 x 6 = ?
 9 + 9 + 9 + 9 + 9 + 9 + 9 = ?  Seven 9s = ?  9 x 7 = ?

Give the answers, reading across the graph
 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = ?  Eight 9s = ?  9 x 8 = ?
 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = ?  Nine 9s = ?  9 x 9 = ?
 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = ?  Ten 9s = ?  9 x 10 = ?
 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = ?  Eleven 9s = ?  9 x 11 = ?
 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = ?  Twelve 9s = ?  9 x 12 = ?

Practice Problems

What is the cost of:
 three 9-cent flags?  six 9-cent caps?
 ten 9-cent puppets?  two 9-cent toy houses?
 five 9-cent rings?  eleven 9-cent gum?
 twelve 9-cent gloves?  four 9-cent mice?
 seven 9-cent hairbands?  eight 9-cent bunnies?
 nine 9-cent belts?  one 9-cent chocolate bar?

See if you can give the answers quickly !
 9 x 0 = ?  9 x 3 = ?
 9 x 5 = ?  9 x 10 = ?
 9 x 11 = ?  9 x 12 = ?
 9 x 4 = ?  9 x 1 = ?
 9 x 2 = ?  9 x 6 = ?
 9 x 7 = ?  9 x 8 = ?
 9 x 100 = ?  9 x 9 = ?

What is the cost for:
 Nine 12-cent boxes?  Nine 9-cent pyramids?
 Nine 2-cent toothbrushes?  Nine 4-cent puzzles?
 Nine 10-cent markers?  Nine 5-cent riddles?
 Nine 3-cent bowls?  Nine 7-cent dog treats?
 Nine 6-cent napkins?  Nine 1-cent fish?
 Nine 8-cent placemats?  Nine 11-cent tea cups?

 

How many are nine 0s?  Nine 1s?  Nine 2s?  Nine 3s?  Nine 4s?  Nine 5s?  Nine 6s?  Nine 7s?  Nine 8s?  Nine 9s?  Nine 10s?  Nine 11s?  Nine 12s?

 

Learning to Divide by 9s

 

Do you remember that the ÷ sign means divide?  When we see the ÷ sign we say divided by.  Division is a type of reversed multiplication. It just takes a wee bit of practice. (NOTE: 0 divided by any number equals 0)

 

Be sure to practice skip counting as it helps us to divide quickly ...

0, 9, 18, 36, 45, 54, 63, 72, 81, 90, 99, 108

Be sure to practice skip counting backwards !

108, 99, 90, 81, 72, 63, 54, 45, 36, 27, 9, 0

 

 9 ÷ 0 = 0  54 ÷ 9 = 6
 9 ÷ 1 = 9  63 ÷ 9 = 7
 9 ÷ 9 = 1  72 ÷ 9 = 8
 18 ÷ 9 = 2  81 ÷ 9 = 9
 27 ÷ 9 = 3  90 ÷ 9 = 10
 36 ÷ 9 = 4  99 ÷ 9 = 11
 45 ÷ 9 = 5  108 ÷ 9 = 12

Practice Problems

Give the missing numbers
 9 ÷ 9 = ?  63 ÷ 9 = ?
 18 ÷ 9 = ?  90 ÷ 9 = ?
 36 ÷ 9 = ?  27 ÷ 9 = ?
 99 ÷ 9 = ?   0 ÷ 9 = ?
 72 ÷ 9 = ?  108 ÷ 9 = ?
 81 ÷ 9 = ?  45 ÷ 9 = ?
 54 ÷ 9 = ?  81 ÷ 9 = ?

Quickly give the answers working
across the graph
 9 = ? 9s

 9 = 9 x ?
 9 ÷ 9 = ?
 27 = ? 9s

 27 = 9 x ?
 27 ÷ 9 = ?
 36 = ? 9s

 36 = 9 x ?
 36 ÷ 4 = ?
 45 = ? 9s

 45 = 9 x ?
 45 ÷ 9 = ?
 54 = ? 9s

 54 = 9 x ?
 54 ÷ 6 = ?
 72 = ? 9s

72 = 9 x ?
 72 ÷ 9 = ?
 81 = ? 9s

 81 = 9 x ?
 81 ÷ 9 = ?
 18 = ? 9s

 18 = 9 x ?
 18 ÷ 2 = ?
 108 = ? 9s

 108 = 9 x ?
 108 ÷ 12 = ?
 90 = ? 9s

 90 = 9 x ?
 90 ÷ 10 = ?
 99 = ? 9s

 99 = 9 x ?
 99 ÷ 9 = ?
 63 = ? 9s

 63 = 9 x ?
 63 ÷ 9 = ?

 

9s Fact Family

 

0
 9 x 0 = 0  9 ÷ 0 = 0
 0 x 9 = 0  0÷ 9 = 0

1,9
 9 x 1 = 9  9 ÷ 1 = 9
 1 x 9 = 9  9 ÷ 9 = 1

2,9,18
 2 x 9 = 18  18 ÷ 2 = 9
 9 x 2 = 18  18 ÷ 9 = 2

3,9,27
  3 x 9 = 27  27 ÷ 3 = 9
  9 x 3 = 27  27 ÷ 9 = 3

4,9,36
 9 x 4 = 36   36 ÷ 9 = 4
 4 x 9 = 36  36 ÷ 4 = 9

5,9,45
 9 x 5 = 45  45 ÷ 9 = 5 
 5 x 9 = 45  45 ÷ 5 = 9

6,9,54
 9 x 6 = 54  54 ÷ 9 = 6
 6 x 9 = 54   54 ÷ 6 = 9

7,9,63
 9 x 7 = 63  63 ÷ 7 = 9
 7 x 9 = 63  63 ÷ 9 = 7

8,9,72
 9 x 8 = 72  72 ÷ 8 = 9
 8 x 9 = 72  72 ÷ 9 = 8

9,81
 9 x 9 = 81  81 ÷ 9 = 9

10,9,90
 9 x 10 = 90  90 ÷ 9 = 10 
 10 x 9 = 90  90 ÷ 10 = 9

11,9,99
 9 x 11 = 99  99 ÷ 9 = 11
 11 x 9 = 99  99 ÷ 11 = 9

12,9,108
 9 x 12 = 108  108 ÷ 9 = 12
 12 x 9 = 108  108 ÷ 12 = 9

 

When one thing or a number of things is divided into nine equal parts, each part is called one ninth.  One ninth is written 1/9.  We can find 1/9 of any number by dividing the number by 9.

 

What is:
(Hint: Read across the graph)
 1/9 of 9?  9 ÷ 9 = ?
 1/9 of 18?  18 ÷ 9 = ?
 1/9 of 27?  27 ÷ 9 = ?
 1/9 of 36?  36 ÷ 9 = ?
 1/9 of 45?  45 ÷ 9 = ?
 1/5 of 54?  54 ÷ 9 = ?
 1/9 of 72?  72 ÷ 9 = ?
 1/9 of 63?  63 ÷ 9 = ?
 1/9 of 81?  81 ÷ 9 = ?
 1/9 of 90?  90 ÷ 9 = ?
 1/9 of 99?  99 ÷ 9 = ?
 1/9 of 108?  108 ÷ 9 = ?

What is ...
 1/9 of 18 archeologists?  1/9 of 36 pools?
 1/9 of 72 oblisks?  1/9 of 9 sphinx?
 1/9 of 63 chariots?  1/9 of 99 gardens?
 1/9 of 27 frogs?  1/9 of 81 false gods?
 1/9 of 90 plagues?  1/9 of 45 feasts?
 1/9 of 108 scribes?  1/9 of 54 bricks?

What is ...
(Hint: Do multiplication first then the addition)
 9 x 2 + 1 ?  9 x 8 + 2 ?
 9 x 4 + 3 ?  9 x 3 + 2 ?
 9 x 12 + 1  9 x 5 + 1 ?
 9 x 1 + 4 ?  9 x 10 + 3 ?
 9 x 7 + 1 ?  9 x 11 + 1 ?
 9 x 10 + 1 ?  9 x 6 + 2 ?
 9 x 9 + 3 ?  9 x 0 + 5 ?

 

Before you go on to the 11s times tables, be sure to ...

 

1)  Review your skip counting for all the times tables you have done so far
... frontwards and backwards

2) Have your daddy, mama, sister, or brother flash
you all the multiplication/division facts you have learned.
See how fast and accurate you can be !

3) complete the Multiplication Chart for
what you already know !

 


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