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Multiplication / Division

 

Multiplication

 

 

Learning to Multiply by 7s

Learning the 7s
 7 x 0 = 0  7 x 7 = 49
 7 x 1 = 7  7 x 8 = 56
 7 x 2 = 14  7 x 9 = 63
 7 x 3 = 21  7 x 10 = 70
 7 x 4 = 28  7 x 11 = 77
 7 x 5 = 35  7 x 12 = 84
 7 x 6 = 42  

 

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

0, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84

Be sure to practice skip counting backwards !

84, 77, 70, 63, 56, 49, 42, 35, 28, 21, 14, 7, 0

 

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

Give the answers, reading across the graph
 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = ?  Eight 7s = ?  7 x 8 = ?
 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = ?  Nine 7s = ?  7 x 9 = ?
 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = ?  Ten 7s = ?  7 x 10 = ?
 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = ?  Eleven 7s = ?  7 x 11 = ?
 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = ?  Twelve 7s = ?  7 x 12 = ?

Practice Problems

What is the cost of:
 three 7-cent spoons?  six 7-cent socks?
 ten 7-cent toy chairs?  two 7-cent books?
 five 7-cent chalk?  eleven 7-cent gadgets?
 twelve 7-cent rulers?  four 7-cent nails?
 seven 7-cent toy frogs?  eight 7-cent toy hammers?
 nine 7-cent toy roosters?  one 7-cent apple?

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

What is the cost for:
 Seven 12-cent crayons?  Seven 9-cent chocolate drops?
 Seven 2-cent hula hoops?  Seven 4-cent sticky buns?
 Seven 10-cent pogo sticks?  Seven 5-cent toy airplanes?
 Seven 3-cent toy bats?  Seven 7-cent pinwheels?
 Seven 6-cent toy hogs?  Seven 1-cent trading cards?
 Seven 8-cent toy teacups?  Seven 11-cent toy pirates?

 

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

 

Learning to Divide by 7s

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, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84

Be sure to practice skip counting backwards !

84, 77, 70, 63, 56, 49, 42, 35, 28, 21, 14, 7, 0

 

 7 ÷ 0 = 0  42 ÷ 7 = 6
 7 ÷ 1 = 7  49 ÷ 7 = 7
 7 ÷ 7 = 1  56 ÷ 7 = 8
 14 ÷ 7 = 2  63 ÷ 7 = 9
 21 ÷ 7 = 3  70 ÷ 7 = 10
 28 ÷ 7 = 4  77 ÷ 7 = 11
 35 ÷ 7 = 5  84 ÷ 7 = 12

Practice Problems

Give the missing numbers
 7 ÷ 7 = ?  56 ÷ 7 = ?
 14 ÷ 7 = ?  70 ÷ 7 = ?
 28 ÷ 7 = ?  21 ÷ 7 = ?
 77 ÷ 7 = ?   0 ÷ 7 = ?
 63 ÷ 7 = ?  84 ÷ 7 = ?
 49 ÷ 7 = ?  35 ÷ 7 = ?
 42 ÷ 7 = ?  49 ÷ 7 = ?

Quickly give the answers working across the graph
 7 = ? 7s

 7 = 7 x ?
 7 ÷ 7 = ?
 21 = ? 7s

 21 = 7 x ?
 21 ÷ 7 = ?
 28 = ? 7s  28 = 7 x ?  28 ÷ 4 = ?
 35 = ? 7s  35 = 7 x ?  35 ÷ 7 = ?
 42 = ? 7s  42 = 7 x ?  42 ÷ 6 = ?
 56 = ? 7s  56 = 7 x ?  56 ÷ 7 = ?
 49 = ? 7s  49 = 7 x ?  49 ÷ 7 = ?
 63 = ? 7s  63 = 7 x ?   63 ÷ 9 = ?
 84 = ? 7s  84 = 7 x ?  84 ÷ 7 = ?
 70 = ? 7s  70 = 7 x ?  70 ÷ 10 = ?
 77 = ? 7s  77 = 7 x ?  77 ÷ 7 = ?

 

7s Fact Family

 

0
 7 x 0 = 0  7 ÷ 0 = 0
 0 x 7 = 0  0÷ 7 = 0

1,7
 7 x 1 = 7  7 ÷ 1 = 7
 1 x 7 = 7  7 ÷ 7 = 1

2,7,14
 2 x 7 = 14  14 ÷ 2 = 7
 7 x 2 = 14  14 ÷ 7 = 2

3,7,21
  3 x 7 = 21  21 ÷ 3 = 7
  7 x 3 = 21  21 ÷ 7 = 3

4,7,28
 7 x 4 = 28   28 ÷ 7 = 4
 4 x 7 = 28  28 ÷ 4 = 7

5,7,35
 7 x 5 = 35  35 ÷ 7 = 5 
 5 x 7 = 35  35 ÷ 5 = 7

6,7,42
 7 x 6 = 42  42 ÷ 7 = 6
 6 x 7 = 42   42 ÷ 6 = 7

7,49
 7 x 7 = 49  49 ÷ 7 = 7

8,7,56
 7 x 8 = 56   56 ÷ 7 = 8
 8 x 7 = 56  56 ÷ 8 = 7

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

10,7,70
 7 x 10 = 70  70 ÷ 7 = 10 
 10 x 7 = 70  70 ÷ 10 = 7

11,7,77
 7 x 11 = 77  77 ÷ 7 = 11
 11 x 7 = 77  77 ÷ 11 = 7

12,7,84
 7 x 12 = 84  84 ÷ 7 = 12
 12 x 7 = 84  84 ÷ 12 = 7

 

When one thing or a number of things is divided into seven equal parts, each part is called one seventh.  One seventh is written 1/7.  We can find 1/7 of any number by dividing the number by 7.

 

What is:
(Hint: Read across the graph)
 1/7 of 7?  7 ÷ 7 = ?
 1/7 of 14?  14 ÷ 7 = ?
 1/7 of 21?  21 ÷ 7 = ?
 1/7 of 28?  28 ÷ 7 = ?
 1/7 of 35?  35 ÷ 7 = ?
 1/7 of 42?  42 ÷ 7 = ?
 1/7 of 49?  49 ÷ 7 = ?
 1/7 of 56?  56 ÷ 7 = ?
 1/7 of 63?  63 ÷ 7 = ?
 1/7 of 70?  70 ÷ 7 = ?
 1/7 of 77?  77 ÷ 7 = ?
 1/7 of 84?  84 ÷ 7 = ?

What is ...
 1/7 of 14 balls?  1/7 of 28 shields?
 1/7 of 63 jars?  1/7 of 7 kings?
 1/7 of 56 flashlights?  1/7 of 77 pages?
 1/7 of 21 torches?  1/7 of 49 feasts?
 1/7 of 70 castles?  1/7 of 35 ships?
 1/7 of 84 knights?  1/7 of 42 games?

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

 

Before you go on to the 8s 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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