RKN CLASS:- III - V SUBJECT:- MATHS KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN Long Multiplication KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN Oh no! I can’t do long multiplication. What am I going to do? Don’t panic! Take it step by step and follow this example. KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 23 x 14 When multiplying these two numbers together, it is easier to put them into a grid. KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 23 x 14 20 3 10 4 The first thing to do is partition the numbers into tens and units. KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 23 x 14 20 3 10 4 Multiply the number above the box with that on the left, writing the answer inside the box, as shown below. 200 30 80 12 KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 23 x 14 200 20 3 10 4 The next step is to add up the rows, putting the answer in the boxes on the right. 30 80 12 230 92 KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 23 x 14 200 20 3 10 4 Now add up the totals on the right to give the answer. 30 80 12 230 92 322 KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN Now you can work out multiplication using the grid method, you will find long multiplication easy! This is a little different from the grid method, as the numbers are set out in columns… KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 51 x 42 becomes 51 42 x KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 51 x 42 51 42 x Remember what we did using the grid method? The first thing to do, is multiply the tens of the top number with the tens and units of the bottom number. KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 51 x 42 51 42 x Always write down the multiplication you have worked out next to the answer. 50 x 40 2000 100 50 x 2 KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 51 x 42 51 42 x Next, multiply the units of the top number by the tens and units of the bottom number. 50 x 40 2000 100 50 x 2 KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 51 x 42 51 42 x Don’t forget to write down the multiplication next to the answer. 50 x 40 2000 100 50 x 2 1 x 40 40 1 x 2 2 KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 51 x 42 51 42 x The final step is to add up the column of numbers and put the total at the bottom. 50 x 40 2000 100 50 x 2 1 x 40 40 1 x 2 2 2142 KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN Now it's your turn Try using long multiplication to work out… 25 x 62 KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 25 x 62 becomes 25 62 x KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 25 x 62 25 62 x x x Remember: The first step is to multiply the tens of the top number with the tens and units of the bottom number. KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 25 x 62 25 62 x 20 x 40 1200 2 60 20 x The next step is to multiply the units of the top number by the tens and units of the bottom number. x x KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 25 x 62 25 62 x 20 x 40 1200 2 60 20 x 300 60 5 5 x x 2 10 Now add up the totals and put them at the bottom. KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN 25 x 62 25 62 x 20 x 40 1200 2 60 20 x 300 60 5 5 x x 2 10 1550 KENDRIYA VIDYALAYA No. 3 GWALIOR

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RKN WELL DONE! You can now work out calculations using long multiplication . KENDRIYA VIDYALAYA No. 3 GWALIOR

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CONCEPT OF DIVISION CLASS : III- V

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DISTRIBUTION DIVISION AS A

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Number of flowers in all are 12 Number of pots are 4

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Put 1 flower in each pot Number of flowers in all are 8

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Again we put 1 flower in each pot Now each pot has flowers 2

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Again we put 1 more flower in each pot Number of flowers in each pot 3 There is no flower left out side the pot

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Here 12 flowers DISTRIBUTED among 4 pots equally Using the symbol, we write 12 4 = 3 Hence DIVISION is an equal DISTRIBUTION

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DIVISION AS A REPEATED SUBTRACTION

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15 3 There are BIRDS 15

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5 birds will fly away Out of 15 birds birds are left It means, 15 - 5 = 10 10

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Again 5 birds will fly away Out of 10 birds Birds are left It means, 10 - 5 = 5 5

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Again 5 birds will fly away bird is left It means, 5 - 5 = 0 NO

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20 5 = 4 DIVIDEND DIVISOR QUOTIENT

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Here, 15 -5 _____ 10 10 5 ------------ 5 5 - 5 ______ 0 We have subtracted 5 three times It means, 15 5 = 3

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PROPERTIES OF DIVISION 4 1 = 4 6 1 = 6 3 1 = 3 WHEN A NUMBER IS DIVIDED BY ONE,WE GET THE SAME NUMBER AS QUOTIENT

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II PROPERTY 5 5 = 1 7 7 = 1 8 8 = 1 WHEN A NUMBER IS DIVIDED BY ITSELF WE GET 1 AS THE QUOTIENT

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III PROPERTY 0 2 = 0 0 4 = 0 O 6 = 0 WHEN WE DIVIDED 0 BY ANY NUMBER WE GET THE QUOTIENT AS 0

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ASSIGNMENT SET:A:Fill in the blanks HOW MANY STARS AER THERE IN ALL?----------------

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2. HOW MA NY GROUP OF STARS ARE THERE IN ALL? --------------- -------------------------

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3. How many stars are there in each group ? 4. 20 Divided by 5 equals to ------------- 5. 20 5 =

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SET;- B 1. How many dogs are there in all ?

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2. How many dogs go away ?

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3. How many dogs go away ?

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4 .HOW MANY DOGS GO AWAY ? 5 . HOW MANY TIMES DID WE SUBTRACTED DOGS ?CHOOSE THE CORRECT ANSWER:- A) 2 Times B) 3 Times C) 4 Times D) 12 Times

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6. How many 4 are in 12? Choose the correct answer- A) 12 Times B) 4 Times C) 3 Times D) 2 Times 7. Write the division fact of SET;-B

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SET:- C Encircle the DIVIDENDS 40 8 = 5 24 6 = 4 6 3 = 2

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SET:- D Encircle the DIVISOR:- 9 1 = 9 50 10 = 5

SET :-F In 48 4 = 12 Write DIVIDEND, DIVISOR & QUOTIENT

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SET :- G COLUMN :A 18 1 0 4 5 5 7 1 12 12 0 9 COLUMN :-B 0 18 7 1 0 1 MATCH THE FOLLOWING :-

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KENDRIYA VIDYALAYA No. 3 GWALIOR RKN

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KENDRIYA VIDYALAYA No. 3 GWALIOR RKN

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KENDRIYA VIDYALAYA No. 3 GWALIOR RKN

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KENDRIYA VIDYALAYA No. 3 GWALIOR RKN

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KENDRIYA VIDYALAYA No. 3 GWALIOR RKN

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