Multiplication of two 2 digit numbers in maths
This is based on a sutra
called Urdhva tiryagbhyam on vedic mathematics. With this method any no of
digits can be multiplied in a single line.
First we take a sample like 34 ×
56
1. Multiply last digit of the 2
numbers.
3
4
(2 reminder)
5
6
____________
4
2. Multiply the 2 digits diagonally
and add them.
3
4
(3 ×6) + (5×4) + 2 = 40 , Reminder 4
5
6
____________
04
3. Now multiply first digit of
the 2 numbers.
3
4
(3 ×5) + 4 = 19
5
6
____________
1904
67 × 29
6
7
((7×9), ((6×9)+(2×7)), (6×2))
2
9
____________
1943
There is a cool maths trick.
2. Digit Multiplication by 11
is very easy . You just need to add that 2 digits together and put that sum in
between them. easy.. isn’t it! lets check.. for 26 ×11 , add 2
+ 6 and put 8 in between that 2 and 6. its 286!
if you get more than 9, just add the reminder to the first digit. try
95 × 11, while placing 14 between 9 and 5, we
have to add the 1 to 9. finally we got 1049.
For multiplying any digit number
with 12, we have to double each digit and add its neighbor.
43 ×12
Double of the first 3 ( 6) would be
the last digit of result. then we have to add double of the next digit 4 (8)
and add its neighbor 3 ( 11) and put 1 and keep the other 1 as reminder. for
adding up the last digit, we have to assume a zero before 4 and doubling it
will not give any result(0). So finally we have to add that 0 to the neighbor 4
and reminder 1, we will get 5. So the result is 516.
The Trick is for multiplying any
number by 11 to 19 , we have to follow the common formula, instead of
doubling the digit, multiply with no of times equal to the last
digit of 11 to 19 series and adding to the neighbor. Is it Confusing?
Lets say if you want to multiply a
number by 13, we have to multiply the each digit by 3 and add it to the
neighbor.
43 ×13
3 ×3 = 9 So First Digit
would be 9
4 × 3 =12 + neighbor 3 =
15, Next Digit would be 5
0 × 3 = 0
+ neighbor 4 +reminder 1 = 5, SO its 559.
43 ×14
3 ×4 = 12 So First
Digit would be 2
4 × 4 =16 + neighbor
3 +reminder 1 = 20, Next Digit would be 0
0 × 4 = 0 + neighbor 4 +reminder
2 = 6, SO its 602
43 ×15
3 ×5 = 15 So First
Digit would be 5
4 × 5 =20 + neighbor
3 +reminder 1 = 24, Next Digit would be 4
0 × 4 = 0
+ neighbor 4 +reminder 2 = 6, SO its 645
