## Friday, January 16, 2009

### Multiplication of 2 numbers that are near to 100 or 1000

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:

1. Add the the ones from the multiplicand to the multiplier.
103 + 4 = 107.

2. Multiply the ones from the multiplier with the ones from the multiplicand.
3 x 4 = 12.

3. Concatenate the results from step 1 and 2. Therefore, 103 x 104 = 10712.

### Example 2:

To calculate 1005 x 1002:

1. Add the the ones from the multiplicand to the multiplier.
1005 + 2 = 1007.

2. Multiply the ones from the multiplier with the ones from the multiplicand. Prepend a zero to the result.
5 x 1 = 010.

3. Concatenate the results from step 1 and 2. Therefore, 1005 x 1002 = 1007010.

### Example 3:

To calculate 97 x 98:

1. Subtract from 10, the ones from multiplicand.
10 - 8 = 2.

2. Subtract from multiplier, the result from step 1.
97 - 2 = 95.

3. Subtract from 10, the ones from multiplier.
10 - 7 = 3.

4. Multiply the result from step 3 with the result from 1. Prepend a zero.
2 x 3 = 06.

5. Concatenate the results from step 2 and step 4. Therefore, 97 x 98 = 9506.

### Example 4:

To calculate 993 x 995:

1. Subtract from 10, the ones from multiplicand.
10 - 5 = 5.

2. Subtract from multiplier, the result from step 1.
993 - 5 = 988.

3. Subtract from 10, the ones from multiplier.
10 - 3 = 7.

4. 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.

5. Concatenate the results from step 2 and step 4. Therefore, 993 x 995 = 988035.

### Exercise:

If domain name is cost \$9.90 each, what is the cost if you want to buy 92 domain?

1. Great technique! Very useful today where most of the prices around end with 9-something(eg 9.99, 9.97).

<abbr>KHs last blog post..Words from The Old Man</abbr>

2. perghhhhhhhhhhh neh betul2 minimalist neh.
hehe i like !

3. A Vedic matrix 0...9 is given below!

..0.....1.....2.....3.....4.....5.....6.....7.....8.....9
----- ----- ----- ----- ----- ----- ----- ----- ----- -----
0
----- ----- ----- ----- ----- ----- ----- ----- ----- -----
1
----- ----- ----- ----- ----- ----- ----- ----- ----- -----
2
----- ----- ----- ----- ----- ----- ----- ----- ----- -----
3
----- ----- ----- ----- ----- ----- ----- ----- ----- -----
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

4. .0….1….2….3….4….5….6….7….8….9
—– —– —– —– —– —– —– —– —– —–
0
—– —– —– —– —– —– —– —– —– —–
1
—– —– —– —– —– —– —– —– —– —–
2
—– —– —– —– —– —– —– —– —– —–
3
—– —– —– —– —– —– —– —– —– —–
4
—– —– —– —– —– —– —– —– —– —–
5
—– —– —– —– —– —– —– —– —– —–
6
—– —– —– —– —– —– —– —– —– —–
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!