Multiplication of Numbers Using Vertical Algorithm

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Module 2 : Multiplication
(Urdhva tiryagbhyam ,Sopantyadvayamantyam &
Ekanyunena purvena)
(a) Multiplication of numbers lesser than base numbers

Ekanyunena purvena)
95 x 97 = ?

Ekanyunena purvena)
95 x 97 = ?  The nearest base is 100

Ekanyunena purvena)
95 x 97 = ?
95
97
Step 1 : Write the numbers vertically

Ekanyunena purvena)
95 x 97 = ?
95 05
97
Step 2 : Subtract 95 from base ( 100 )

Ekanyunena purvena)
95 x 97 = ?
95 05
97 03

Ekanyunena purvena)
95 x 97 = ?
95 05
97 03
15
Step 4 : Multiply vertically

Ekanyunena purvena)
95 x 97 = ?
95 05
97 03
92 15
Step 5 : Subtract diagonally (both way)

Ekanyunena purvena)
95 x 97 = 9215
95 05
97 03
92 15

Ekanyunena purvena)
996 x 998 = ?

Ekanyunena purvena)

Ekanyunena purvena)
996 x 998 = ?
996
998

Ekanyunena purvena)
996 x 998 = ?
996 004
998
Step 2 : Subtract 996 from base (1000)

Ekanyunena purvena)
996 x 998 = ?
996 004
998 002

Ekanyunena purvena)
996 x 998 = ?
996 004
998 002
008

Ekanyunena purvena)
996 x 998 = ?
996 004
998 002
994 008

Ekanyunena purvena)
996 x 998 = ?
996 004
998 002
994 008
Step 2 : Subtract 996 from base (1000 )

Ekanyunena purvena)
996 x 998 = 994008
996 004
998 002
994 008

Ekanyunena purvena)
Practice Quiz
1. 93 x 97 =
2. 91 x 96 =
3. 92 x 98 =
4. 995 x 988 =
5. 9988 x 9988 =
6. 99995 x 99993 =

Ekanyunena purvena)
Practice Quiz
1. 93 x 97 = 9021
2. 91 x 96 = 8736
3. 92 x 98 = 9016
4. 995 x 988 = 983060
5. 9988 x 9988 = 99760144
6. 99995 x 99993 = 9998800035

Ekanyunena purvena)
Practice Quiz
Click on your score
01 02
03 04
05 06

Let’s understand the method better
one more time 

Ekanyunena purvena)
93 x 98 = ?

Ekanyunena purvena)
93 x 98 = ?
93
98

Ekanyunena purvena)
93 x 98 = ?
93 07
98

Ekanyunena purvena)
93 x 98 = ?
93 07
98 02

Ekanyunena purvena)
93 x 98 = ?
93 07
98 02
14

Ekanyunena purvena)
93 x 98 = ?
93 07
98 02
91 14

Ekanyunena purvena)
93 x 98 = 9114
93 07
98 02
91 14

Ekanyunena purvena)
Practice Quiz - 2
1. 91 x 95 =
2. 90 x 96 =
3. 95 x 96 =
4. 993 x 988 =
5. 9978 x 9997 =
6. 99996 x 99992 =

Ekanyunena purvena)
Practice Quiz -2
Click on your score
01 02
03 04
05 06

Ekanyunena purvena)
(a) Multiplication of numbers greater than base numbers

Ekanyunena purvena)
102 x 106 = ?

Ekanyunena purvena)

Ekanyunena purvena)
102 x 106 = ?
102
106

Ekanyunena purvena)
102 x 106 = ?
102 02
106

Ekanyunena purvena)
102 x 106 = ?
102 02
106 06

Ekanyunena purvena)
102 x 106= ?
102 02
106 06
12

Ekanyunena purvena)
102 x 106 = ?
102 02
106 06
108 12
Step 5 : Add diagonally (both way)

Ekanyunena purvena)
102 x 106= 10812
102 02
106 06
108 12
Step 5 : Adds diagonally (both way)

Multiplication of Numbers Using Vertical Algorithm

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Multiplication of Numbers Using Vertical Algorithm