div without rmd
TRANSCRIPT
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Before implementing the process ofdivision, you must be able to usemultiplication table up to 9 x 9 and
perform subtraction using abacus.
ntrodu tion
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Division equation
12 4 = 3
Dividend Divisor Quotient
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Placing of dividend
Place the dividend starting from the thirdrod from the left of the abacus
1st digit of the dividend
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Placing of the quotient
If the first digit of thedividend is greater or equal tothe divisor, skip one rod to the
left of the dividend.
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Placing of quoti nt
The quotient should be placed at the firstrod from the left frame of the abacus.
Quotient
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Placing of the quotient
If the first digit of thedividend is less than the divisor,place the quotient next (to the
left) to the dividend.
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Placing of quotient
The quotient should be placed nextto the dividend.
Quotient
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Example 1 : 9 3
Quotient Dividend
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Example 2 : 21 3
Quotient Dividend
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Division (Without Remainder)
4 2 =
Up 4 at the third rod from the left.
What number times 2 equals 4? Its 2. Where should we display the quotient?Up 2 at the first rod,
down 4 from the dividend.The answer is 2.
Demo
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9 3 =
Up 9 at the third rod from the left.What number times 3 equals 9? Its 3. Where should we display the quotient?Up 3 at the first rod,down 9 from the dividend.The answer is 3.
Demo
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8 4 =
Up 8 at the third rod from the left.What number times 4 equals 8? Its 2. Where should we display the quotient?Up 2 at the first rod,down 8 from the dividend.The answer is 2.
Demo
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Exercise 1
1) 8 2 =
2) 6 2 =
3) 4 2 =
4) 2 2 =
5) 9 3 =
4
3
2
1
3
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Exercise 2
1) 6 3 =
2) 3 3 =3) 8 4 =
4) 4 4 =5) 5 5 =
2
12
11
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20 5 =
Up 20 from the third rod of the abacus.What number times 5 equals 20? Its 4. Where should we display the quotient?Up 4 at the second rod,down 20 from the dividend.The answer is 4.
Demo
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24 4 =
Up 24 from the third rod of the abacus.
What number times 4 equals 24? Its 6. Where should we display the quotient?Up 6 at the second rod,down 24 from the dividend.The answer is 6.
Demo
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27 3 =
Up 27 from the third rod of the abacus.What number times 3 equals 27? Its 9. Where should we display the quotient?Up 9 at the second rod,down 27 from the dividend.The answer is 9.
Demo
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34 2 =
Demo
Up 34 from the third rod of the abacus.What number times 2 is closest & < 3? Its 1. Where should we display the quotient?Up 1 at first rod, down 2 at third rod. (R 14)What number times 2 equals 14? Its 7. Up 7 at second rod,down 1 at third rod, down 4 at fourth rod.The answer is 17.
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42 3 =
Demo
Up 42 from the third rod of the abacus.
What number times 3 is closest & < 4?Where should we display the quotient?Up 1 at first rod, down 3 at third rod. (R 12)What number times 3 equals 12? Its 4. Up 4 at second rod,down 1 at third rod, down 2 at fourth rod.The answer is 14.
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56 4 =
Demo
Up 56 from the third rod of the abacus.
What number times 4 is closest & < 5?Where should we display the quotient?Up 1 at first rod, down 4 at third rod. (R 16)
What number times 4 equals 16? Its 4. Up 4 at second rod,down 1 at third rod, down 6 at fourth rod.The answer is 14.
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65 5 =
Up 65 from the third rod of the abacus.What number times 5 is closest & < 6?Where should we display the quotient?Up 1 at first rod, down 5 at third rod. (R 15)What number times 5 equals 15? Its 3.
Up 3 at second rod,down 1 at third rod, down 5 at fourth rod.The answer is 13.
Demo
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30 3 =
Up 30 from the third rod of the abacus.
What number times 3 equals 3? Its 1. Where should we display the quotient?Up 1 at the first rod,down 3 from the dividend.The answer is 10.
Demo
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Determine value of the quotient
m n + rm : number of digits for dividendn : number of digits for divisor
r = 0 ifthe first digit of the dividend is
less than the divisor r = 1 if the first digit of the dividend isgreater or equal to the divisor.
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200 4 =
Up 200 from the third rod of the abacus.
What number times 4 equals 20? Its 5. Where should we display the quotient?Up 5 at the second rod,down 20 from the dividend.The answer is 50.No. of digit = 3 1 + 0
Demo
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400 2 =
Up 400 from the third rod of the abacus.
What number times 2 equals 4? Its 2. Where should we display the quotient?Up 2 at the first rod,down 4 from the dividend.The answer is 200.No. of digit = 3 1 + 1
Demo
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Exercise 3
1) 18 2 =
2) 26 2 =3) 34 2 =
4) 42 2 =
5) 69 3 =
9
1317
21
23
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Exercise 4
1) 18 3 =2) 36 3 =
3) 54 3 =
4) 45 3 =
5) 52 4 =
612
18
15
13
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Exercise 5
1) 28 4 =
2) 56 4 =3) 68 4 =
4) 72 4 =
5) 85 5 =
7
1417
18
17
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Exercise 6
1) 52 2 =
2) 58 2 =
3) 51 3 =
4) 57 3 =
5) 60 4 =
26
29
17
19
15
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Exercise 7
1) 64 4 =
2) 76 4 =
3) 65 5 =
4) 70 5 =
5) 95 5 =
16
19
13
14
19
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Extra Exercise 1
1) 42 6 =
2) 78 6 =
3) 114 6 =
4) 168 6 =
5) 234 6 =
7
13
19
28
39
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Extra Exercise 2
1) 42 7 =
2) 98 7 =
3) 105 7 =
4) 126 7 =
5) 336 7 =
6
14
15
18
48
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Extra Exercise 3
1) 64 8 =
2) 96 8 =
3) 112 8 =
4) 136 8 =
5) 232 8 =
8
12
14
17
29
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Extra Exercise 4
1) 36 9 =
2) 126 9 =3) 162 9 =
4) 144 9 =
5) 342 9 =
4
1418
16
38
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= 24 2
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9 3 = 3
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8 4 = 2
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= 420 5
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= 624 4
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27 3 = 9
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= 1734 2
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= 1442 3
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56 4 = 14
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65 5 = 13
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= 50200 4
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= 200400 2
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