MULTIPLICATION TABLE -
|
| x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |
| 3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 |
| 4 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 |
| 5 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |
| 6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 |
| 7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 |
| 8 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 |
| 9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 |
| 10 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
In the above Multiplication Table, we remember
the easier ones and arrive at the difficult ones
using the technique we are going to learn.
consider the sum of multiplicand and multiplier.
Remember the values for the sum < 10 and arrive
at the values for the sum > 10 using the simple
technique from Vedic Mathematics.
Let us first see the Multiplication Table by
posting the entries which we have to get by heart.
| x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
| 2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | ||
| 3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | |||
| 4 | 4 | 8 | 12 | 16 | 20 | 24 | ||||
| 5 | 5 | 10 | 15 | 20 | 25 | |||||
| 6 | 6 | 12 | 18 | 24 | ||||||
| 7 | 7 | 14 | 21 | |||||||
| 8 | 8 | 16 | ||||||||
| 9 | 9 | |||||||||
You have to memorise the values in the
above Multiplication Table, which are easy.
If you find it difficult, here is a solution.
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Now let us learn the technique with which we arrive
at the other values in the Multiplication table.
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Example 1 :
Suppose, we have to find 9 x 6.First we write one below the other.
9
6
Then we subtract the digits from 10 and
write the values (10-9=1; 10-6=4) to the
right of the digits with a '-' sign in between.
9 - 1
6 - 4
The product has two parts. The first part is the cross difference (here it is 9 - 4 = 6 - 1 = 5).
The second part is the vertical product
of the right digits (here it is 1 x 4 = 4).
We write the two parts seperated by a slash.
9 - 1
6 - 4
-----
5/4
-----
So, 9 x 6 = 54.
Let us see one more example.
Example 2:
To find 7 x 6By following the above procedure,
we may write as follows.
7 - 3
6 - 4
-----
3/12
-----
The first part = 7 - 4 = 6 - 3 = 3.
The second part here is 3x4 = 12.
It has two digits. we retain the units' digit
and carry over the other digit to the left.
To indicate the carry over, we write the digit
to be carried over in small letters as follows.
7 - 3
6 - 4
-----
3/12
-----
So, the answer becomes (3+1)/2 = 4/2
Thus, 7 x 6 = 42.
I hope you have followed the technique.
Now, we apply the technique to find all the
remaining entries in the above multiplication Table.
Calculation of Entries in the Multiplication Table :
The entries of the multiplication tableare calculated as shown below.
9 times table :
9 - 1 9 - 1 9 - 1 9 - 1 9 - 1 9 - 1 9 - 1 9 - 1 9 - 1
2 - 8 3 - 7 4 - 6 5 - 5 6 - 4 7 - 3 8 - 2 9 - 1 10 - 0
----- ----- ----- ----- ----- ----- ----- ----- ------
1/8 2/7 3/6 4/5 5/4 6/3 7/2 8/1 9/0
----- ----- ----- ----- ----- ----- ----- ----- ------
9x2=18 9x3=27 9x4=36 9x5=45 9x6=54 9x7=63 9x8=72 9x9=81 9x10=90
8 times table :
8 - 2 8 - 2 8 - 2 8 - 2 8 - 2 8 - 2 8 - 2 8 - 2
3 - 7 4 - 6 5 - 5 6 - 4 7 - 3 8 - 2 9 - 1 10 - 0
----- ----- ----- ----- ----- ----- ----- ------
1/14 2/12 3/10 4/8 5/6 6/4 7/2 8/0
----- ----- ----- ----- ----- ----- ----- ------
8x3=24 8x4=32 8x5=40 8x6=48 8x7=56 8x8=64 8x9=72 8x10=80
7 times table :
7 - 3 7 - 3 7 - 3 7 - 3 7 - 3 7 - 3 7 - 3
4 - 6 5 - 5 6 - 4 7 - 3 8 - 2 9 - 1 10 - 0
----- ----- ----- ----- ----- ----- ------
1/18 2/15 3/12 4/9 5/6 6/3 7/0
----- ----- ----- ----- ----- ----- ------
7x4=28 7x5=35 7x6=42 7x7=49 7x8=56 7x9=63 7x10=70
6 times table :
6 - 4 6 - 4 6 - 4 6 - 4 6 - 4 6 - 4
5 - 5 6 - 4 7 - 3 8 - 2 9 - 1 10 - 0
----- ----- ----- ----- ----- ------
1/20 2/16 3/12 4/8 5/4 6/0
----- ----- ----- ----- ----- ------
6x5=30 6x6=36 6x7=42 6x8=48 6x9=54 6x10=60
5 times table :
5 - 5 5 - 5 5 - 5 5 - 5 5 - 5
6 - 4 7 - 3 8 - 2 9 - 1 10 - 0
----- ----- ----- ----- ------
1/20 2/15 3/10 4/5 5/0
----- ----- ----- ----- ------
5x6=30 5x7=35 5x8=40 5x9=45 5x10=50
4 times table :
4 - 6 4 - 6 4 - 6 4 - 6
7 - 3 8 - 2 9 - 1 10 - 0
----- ----- ----- ------
1/18 2/12 3/6 4/0
----- ----- ----- ------
4x7=28 4x8=32 4x9=36 4x10=40
3 times table :
3 - 7 3 - 7 3 - 7
8 - 2 9 - 1 10 - 0
----- ----- ------
1/14 2/7 3/0
----- ----- ------
3x8=24 3x9=27 3x10=30
2 times table :
2 - 8 2 - 8
9 - 1 10 - 0
----- ------
1/8 2/0
----- ------
2x9=18 2x10=20
To find the multiplication table
for two digit numbers, go to
Vedic mathematics.
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