Division(class2)

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Division :

Division

Division as Equal Sharing :

Division as Equal Sharing 18 balloons are distributed among 6 children equally. How many balloons does each children get? Clearly each child gets 3 balloons. Number of →18  6 = 3← Numbers of balloons ↑ balloons each child gets Number of children

Slide 3:

Is the sign of division. We read 18  6 = 3 as 18 divided by 6 is equal to 3. 18  6 = 3 is also called a division fact.

Exercise 1 :

Exercise 1 Write the division fact: 15 keys are put in 3 rings equally. How many keys are there in each ring? 15  3 = 5 2. 20 sweets are packed equally in 5 packets. How many sweets are there in each packets?

Slide 5:

3. 12 marbles are distributed equally among 4 girls. How many marbles does each girl get? 4. 21 books are replaced equally in 3 racks. How many books are there in each rack?

Division as repeated subtraction :

Division as repeated subtraction Division is a repeated subtraction of the same number. We can subtract 5 repeatedly from 20,4 times.

Slide 7:

20 5← first time ------ 15 5 ← second time ------ 10 5 ← third time ------ 5 5 ← fourth time ------ 0 Thus we have the division fact 20  5 = 4

Exercise 2 :

Exercise 2 6 can be subtracted repeatedly from 18, 3 times. 8 can be subtracted repeatedly from 40, 5 times. 3 can be subtracted repeatedly from 21, 7 times. 7 can be subtracted repeatedly from 42,6 times. 5 can be subtracted repeatedly from 40, 8 times.

Division as inverse of multiplication :

Division as inverse of multiplication A multiplication fact of the same number gives only one division fact. 5 x 5 = 25 gives 25  5 = 5 only. 7 x 7 = 49 gives 49  7 = 7 only. Also, 0 x 2=0 gives 0  2=0 only. 0 0= 2 is meaningless. In fact, we can not divide a number by zero.

Exercise 3 :

Exercise 3 Write the division facts: 4 x 7= 28 gives _______ and _______ 7 x 5= 35 gives_______ and _______ 9 x 6 = 54 gives_______ and_______ 10 x 9=90 gives_______ and_______ 8 x 7=56 gives _______ and _______ 4 x 4= 16 gives _______ only 6 x 6=36 gives ______ only 0 x 8= gives_________ only

Division using multiplication table :

Division using multiplication table Divide 32 by 8 We read table of 8 till we reach 32 8 x 1= 8, 8 x 2=16, 8 x 3=24, 8 x 4= 32 Thus, 32  8=4. Divide 72 by 9 We read table of 9 till we reach 72. 9 x 1= 9, 9 x 2=18,9 x 3= 27, 9 x 4=36, 9 x 5=45 9 x 6= 54, 9 x 7= 63, 9 x 8=72. Thus, 72  9=8.

Exercise 4 :

Exercise 4 Using multiplication tables, divide: 63 7= 40  5= 56  8= 45  9= 24  3= 18  2= 42  7= 54  6= 90  10= 36  6=

Long form of Division :

Long form of Division You have read in class 1 that 20 4=5 is also expressed as 5 2 ) 20 This is called the long form of division.

Term Related to Division :

Term Related to Division In a division, we have four terms, dividend, divisor, quotient and remainder. Consider the following example: 11 chocolates are distributed among 4 children equally. How many chocolates does each child get and how many chocolates are left? 2 quotient Divisor 4 )11 dividend -8 3 Remainder

Slide 16:

Thus, each child gets 2 chocolates and 3 chocolates are left. We also have, Dividend= Divisor x Quotient+ Remainder Using this relationship, we can check whether our division is correct or not.

Division by 2-digit numbers without regrouping (or without giving) :

Division by 2-digit numbers without regrouping (or without giving) Divide 63 by 3 Step 1 Arrange the numbers as shown 3) 63 (

Slide 18:

Step 2 Divide the tens by 3. We know, 3 x 2=6. We write 2 in tens place of the quotient and 6 below 6. Subtract 6 from 6. 2 3)63( -6 0

Slide 19:

Step 3 Bring down 3 and divide it by 3. We know, 3 x 1=3. Write 1 in the ones place of the quotient and 3 below 3. Subtract 3 from 3. Thus, 63 3=21 and remainder=0 21 3) 63( -6 03 - 3 0

Divide 89 by 4 :

Divide 89 by 4

Exercise 5 :

Exercise 5

Division of 3-digit numbers without regrouping (without giving) :

Division of 3-digit numbers without regrouping (without giving) Step 1. Arrange the numbers as shown 4) 484 (

Slide 23:

Step 2. Divide the hundreds by 4. we know, 4 x 1= 4. Write 1 in the hundreds place of the quotient and 4 below 4.Subtract 4 from 4. 1 4) 484 ( -4 0

Slide 24:

Step 3. Bring down 8 and divide it by 4. We know, 4 x 2= 8. Write 2 in the tens place of the quotient and 8 below 8. Subtract 8 from 8. 12 4)4 84 ( -4 08 -8 0

Slide 25:

Step 4. Bring down 4 and divide it by 4. We know, 4 x 1= 4. Write 1 in the ones place of the quotient and 4 below 4. Subtract 4 from 4. Thus, 484  4= 121 and reminder=0. 12 4)4 84 ( -4 08 -8 04 -4 0

Divide 687 by 2 :

Divide 687 by 2

Division of 2-digit numbers with regrouping (or with giving) :

Division of 2-digit numbers with regrouping (or with giving) Divide 54 by 3 Step 1. Arrange the numbers as shown. 3 ) 54 (

Slide 28:

Step 2. Divide 5 tens by 3. We know, 3 x 1=3, 3 x 2=6, but 6> 5, so we take 3 x 1= 3. Write 1 in the tens place of the quotient and 3 below 5, subtract 3 from 5. 18 3 ) 54 ( -3 2

Slide 29:

Step 3. Bring down 4 and divide 24 by 3. We know, 3 x 8=24.So, write 8 in the ones place of the quotient and 24 below 24. Subtract 24 from 24. Thus, 54  3=18 and remainder=0 18 3) 54 ( -3 24 - 24 0

Divide 95 by 4 :

Divide 95 by 4

Division of 3-digit numbers with regrouping (or with giving) :

Division of 3-digit numbers with regrouping (or with giving) Divide 594 by 6 Step 1. Arrange the numbers as shown 6 ) 594 (

Slide 32:

Step 2. Divide 5 hundreds by 6. Since, 6 x 1=6, but 6 > 5, so we take 6 x 0=0. write 0 in the hundreds place of the quotient and 0 below 5. Subtract 0 from 5. 0 6) 594 ( - 0 5

Slide 33:

Step 3. Bring down 9 and divide 59 by 6. 6 x 9= 54, so write 9 in the tens place of the quotient and 54 below 59. Subtract 54 from 59. 09 6) 594 ( -0 59 - 54 5

Slide 34:

Step 4. Bring down 4 and divide 54 by 6. 6 x 9=54, so write 9 in the ones place of the quotient and 54 below 54. Subtract 54 from 54. Thus, 594  6= 99 and remainder= 0. 099 6) 594 ( -0 59 -54 54 - 54 0