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Multiplication

 

 

Learning to Multiply by 2s

 

Two's trick: All products in the 2s times table will end in an even number.

 

Learning the 2s
 2 x 0 = 0   2 x 7 = 14
 2 x 1 = 2  2 x 8 = 16
 2 x 2 = 4   2 x 9 = 18
 2 x 3 = 6   2 x 10 = 20
 2 x 4 = 8   2 x 11 = 22
 2 x 5 = 10   2 x 12 = 24
 2 x 6 = 12  

 

A fun way to get used to the 2s, is to skip count ...

0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

 

Be sure to practice skip counting backwards !

24, 22, 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0

 

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

 

2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = ? Eight 2s = ? 2 x 8 = ?
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = ? Nine 2s = ? 2 x 9 = ?
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = ? Ten 2s = ? 2 x 10 = ?
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = ? Eleven 2s = ? 2 x 11 = ?
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = ?  Twelve 2s = ? 2 x 12 = ?

 

Give the answers, reading across the graph
  5 + 5 = ?   Two 5s = ?   2 x 5 = ?
  0 + 0 = ?   Two 0s = ?   2 x 0 = ?
  3 + 3 = ?   Two 3s = ?   2 x 3 = ?
  2 + 2 = ?   Two 2s = ?   2 x 2 = ?
  1 + 1 = ?   Two 1s = ?   2 x 1 = ?
  6 + 6 = ?   Two 6s = ?   2 x 6 = ?
  4 + 4 = ?   Two 4s = ?   2 x 4 = ?

 

Give the answers, reading across the graph
  8 + 8 = ?   Two 8s = ?   2 x 8 = ?
  10 + 10 = ?   Two 10s = ?   2 x 10 = ?
  7 + 7 = ?   Two 7s = ?   2 x 7 = ?
  11 + 11 = ?   Two 11s = ?   2 x 11 = ?
  9 + 9 = ?   Two 9s = ?   2 x 9 = ?
  12 + 12 = ?   Two 12s = ?   2 x 12 = ?

 

Practice Problems

Katie has learned that it takes 7 books to fill a box. How many books will fill 2 boxes?

James can put 9 stickers on one page in his book. How many stickers can he place on 2 pages?

Allison bought two bouncy balls that cost 10 cents each. How much money did she spend?

 

What must I pay for:
three 2-cent pencil erasers?   five 2-cent trading cards?
six 2-cent tiny candy canes?   seven 2-cent toy tops?
nine 2-cent stamps?   one 2-cent cards?
twelve 2-cent gum balls?   eight 2-cent paper planes?
four 2-cent pens?  two 2-cent marbles? 
ten 2-cent squirt guns?   eleven 2-cent toy dogs?

If one pencil eraser costs 2 cents, how much will 10 pencil erasers cost?

How much will eight 2-cent stickers cost?

If one plum costs 11 cents. How much will two plums cost?

There are 8 dogs sitting quietly in a row at Obedience School. How many dogs are there in 2 rows?

What is the cost of 2 sticks of gum at 12 cents a stick?

Geoffrey bought one toy cat for 10 cents. How many do 2 toy cats cost?

See if you can give the products to the following multiplication problems quickly:
  7 x 2 = ?   7 x 2 = ?   4 x 2 = ?
  2 x 8 = ?   2 x 9 = ?   2 x 12 = ?
  10 x 2 = ?   1 x 2 = ?   6 x 2 = ?
  0 x 2 = ?   2 x 11 = ?   8 x 2 = ?

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

 

 

Learning to Divide by 2s

 

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, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

Be sure to practice skip counting backwards !

24, 22, 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0

 

2s Division Facts
 2 ÷ 0 = 0  14 ÷ 2 = 7
 2 ÷ 2 = 1  16 ÷ 2 = 8
 4 ÷ 2 = 2  18 ÷ 2 = 9
 6 ÷ 2 = 3  20 ÷ 2 = 10
 8 ÷ 2 = 4  22 ÷ 2 = 11
 10 ÷ 2 = 5  24 ÷ 2 = 12
 12 ÷ 2 = 6  



How many 3s in 6?

  6 = 3 x ?

  6 ÷ 3 = ?
How many 2s in 10?

  10 = 2 x ?

  10 ÷ 2 = ?
How many 4s in 8?

  8 = 4 x ?

  8 ÷ 4 = ?
How many 2s in 12?

  12 = 2 x ?

  12 ÷ 2 = ?

 

Emily and Allison what to share 4 pieces of candy. How many pieces of candy will the 2 girls receive?

4 ÷ 2 = ?

(Hint: Think 4 = 2 x ?)

 

Casey has 24 cents, but he wants to buy his Mama candles that cost 2 cents each. How many candles can Casey buy?

24 ÷ 2 = ?

(Hint: Think 24 = 2 x ?)

 

There are 6 cupcakes and two VERY hungry parents. How many cupcakes will each parent get?

Alex has 22 cents that he wants to divide between his two young cousins. How many cents did each cousin get?


Practice Problems

Give the answers, reading across the graph
 2 x ? = 6  6 ÷ 2 = ?  1 x 2 = ?  2 ÷ 2 = ?
 2 x ? = 4  4 ÷ 2 = ?  2 x ? = 10  10 ÷ 2 = ?
 14 = ? x 2  14 ÷ 2 = ?  8 = 4 x ?  8 ÷ 4 = ?
 2 x 0 = ?  0 ÷ 2 = ?  16 = 8 x ?  16 ÷ 8 = ?
 9 x 2 = ?  18 ÷ 2 = ?  2 x ? = 22  22 ÷ 2 = ?
 20 = 2 x ?  20 ÷ 2 = ?  6 x ? = 12  12 ÷ 2 = ?
 2 x 12 = ?  24 ÷ 2 = ?  7 x ? = 14  14 ÷ 7 = ?

 

2 pints = 1 quart
 4 pints = ? quarts  4 ÷ 2 = ?
 6 pints = ? quarts  6 ÷ 2 = ?
 8 pints = ? quarts  8 ÷ 2 = ?
 10 pints = ? quarts  10 ÷ 2 = ?
 12 pints = ? quarts  12 ÷ 2 = ?
 14 pints = ? quarts  14 ÷ 2 = ?
 16 pints = ? quarts  16 ÷ 2 = ?
 18 pints = ? quarts  18 ÷ 2 = ?
 20 pints = ? quarts  20 ÷ 2 = ?
 22 pints = ? quarts  22 ÷ 2 = ?
 24 pints = ? quarts  24 ÷ 2 = ?



2s Fact Family

 

0
 2 x 0 = 0  2 ÷ 0 = 0
 0 x 2 = 0  0÷ 2 = 0


1,2
 2 x 1 = 1  2 ÷ 1 = 2
 1 x 2 = 2  2 ÷ 2 = 1

 

2,4
 2 x 2 = 4  4 ÷ 2 = 2

 

2,3,6
 2 x 3 = 6  6 ÷ 2 = 3
 3 x 2 = 6  6 ÷ 3 = 2

 

2,4,8
 2 x 4 = 8  8 ÷ 2 = 4
 4 x 2 = 8  8 ÷ 4 = 2

 

2,5,10
 2 x 5 = 10  10 ÷ 2 = 5
 5 x 2 = 10  10 ÷ 5 = 2


2,6,12
 2 x 6 = 12  12 ÷ 2 = 6
 6 x 2 = 12  12 ÷ 6 = 2

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

 

2,8,16
 2 x 8 = 16  16 ÷ 2 = 8
 8 x 2 = 16  16 ÷ 8 = 2

 

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

 

2,10,20
 2 x 10 = 20  20 ÷ 2 = 10
 10 x 2 = 20  20 ÷ 10 = 2

 

2,11,22
 2 x 11 = 22  22 ÷ 2 = 11
 11 x 2 = 22  22 ÷ 11 = 2

 

2,12,24
 2 x 12 = 24  24 ÷ 2 = 12
 12 x 2 = 24  24 ÷ 12 = 2


When one thing or a number of things is divided into two equal parts, each part is called one half. One half is written ½. We can find ½ of any number by dividing by 2.

 

What is:
 ½ of 2 = ?  2 ÷ 2 = ?
 ½ of 4 = ?  4 ÷ 2 = ?
 ½ of 6 = ?  6 ÷ 2 = ?
 ½ of 8 = ?  8 ÷ 2 = ?
 ½ of 10 = ?  10 ÷ 2 = ?
 ½ of 12 = ?  12 ÷ 2 = ?
 ½ of 14 = ?  14 ÷ 2 = ?
 ½ of 16 = ?  16 ÷ 2 = ?
 ½ of 18 = ?  18 ÷ 2 = ?
 ½ of 20 = ?  20 ÷ 2 = ?
 ½ of 22 = ?  22 ÷ 2 = ?
 ½ of 24 = ?  24 ÷ 2 = ?


Practice Problems

What is:
 ½ of 8 puppies?  ½ of 10 chocolate bars?
 ½ of 14 chocolate chip cookies?  ½ of 2 cookies?
 ½ of 4 pencils?  ½ of 16 cents?
 ½ of 18 tops?  ½ of 6 strawberries?
 ½ of 12 marbles?  ½ of 20 tops?
 ½ of 24 amusement park rides?  ½ of 22 cupcakes?



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

 

Before you go on to the 5s times tables, be sure to ...

 

1) Review your skip counting ... frontwards and backwards

 

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

 

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

 

Request:  Do you have recommendations for Multiplication? If so, e-mail us your ideas by clicking here

© Beverly Schmitt 2003, all rights reserved
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