This tip is suitable for multiplying two numbers that are near to 100. For example, 103 x 104 and 97 x 98.
Example 1:
To calculate 103 x 104:
- Add the the ones from the multiplicand to the multiplier.
103 + 4 = 107. - Multiply the ones from the multiplier with the ones from the multiplicand.
3 x 4 = 12. - Concatenate the results from step 1 and 2. Therefore, 103 x 104 = 10712.
Example 2:
To calculate 1005 x 1002:
- Add the the ones from the multiplicand to the multiplier.
1005 + 2 = 1007. - Multiply the ones from the multiplier with the ones from the multiplicand. Prepend a zero to the result.
5 x 1 = 010. - Concatenate the results from step 1 and 2. Therefore, 1005 x 1002 = 1007010.
Example 3:
To calculate 97 x 98:
- Subtract from 10, the ones from multiplicand.
10 – 8 = 2. - Subtract from multiplier, the result from step 1.
97 – 2 = 95. - Subtract from 10, the ones from multiplier.
10 – 7 = 3. - Multiply the result from step 3 with the result from 1. Prepend a zero.
2 x 3 = 06. - Concatenate the results from step 2 and step 4. Therefore, 97 x 98 = 9506.
Example 4:
To calculate 993 x 995:
- Subtract from 10, the ones from multiplicand.
10 – 5 = 5. - Subtract from multiplier, the result from step 1.
993 – 5 = 988. - Subtract from 10, the ones from multiplier.
10 – 3 = 7. - Multiply the result from step 3 with the result from 1. If you get a one digit number, prepend two zeroes, otherwise prepend just one zero.
5 x 7 = 035. - Concatenate the results from step 2 and step 4. Therefore, 993 x 995 = 988035.
Exercise:
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Great technique! Very useful today where most of the prices around end with 9-something(eg 9.99, 9.97).
KHs last blog post..Words from The Old Man
perghhhhhhhhhhh neh betul2 minimalist neh.
hehe i like !
Thank you.
A Vedic matrix 0…9 is given below!
..0…..1…..2…..3…..4…..5…..6…..7…..8…..9
—– —– —– —– —– —– —– —– —– —–
0
—– —– —– —– —– —– —– —– —– —–
1
—– —– —– —– —– —– —– —– —– —–
2
—– —– —– —– —– —– —– —– —– —–
3
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4
—– —– —– —– —– —– —– —– —– —–
5
—– —– —– —– —– —– —– —– —– —–
6
—– —– —– —– —– —– —– —– —– —–
7
—– —– —– —– —– —– —– —– —– —–
8
—– —– —– —– —– —– —– —– —– —–
9…………………………………….97
97 is ‘3 less than’ a 100. It means (+97-3) position
89 is ‘11 less tham’ a 100. It means(+89-11) position’
See that 97-11= 86 and 89-3= 86
Merge (-3)*(-11)= 33 to right of 86 as 8633.
97*89= 8633
.0….1….2….3….4….5….6….7….8….9
—– —– —– —– —– —– —– —– —– —–
0
—– —– —– —– —– —– —– —– —– —–
1
—– —– —– —– —– —– —– —– —– —–
2
—– —– —– —– —– —– —– —– —– —–
3
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4
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5
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6
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7
—– —– —– —– —– —– —– —– —– —–
8
—– —– —– —– —– —– —– 97 —– —–
9
97 is a position that has 97 ones before it.
So (+97-3)is written!
89 is (+89-11)!
Basics shall be correct!