Multiplication of 2 digit number lesser than base
Multiplication of two-digit numbers
In Vedic Maths, Multiplication of two numbers can be done by Nikhilam Sutra (Base Method)
Case 2:- When both Numbers are lesser than Base (100)
For Example :- 94 x 96
Step 1 –
| Number | Base | Difference |
|---|---|---|
| 94 (X1) | 100 (Y) | - 6 (Z1) |
| 96 (X2) | 100 (Y) | - 4 (Z2) |
Y= nearest power of 10 i.e. 10, 100, 1000, 10000.
Thus nearest power of 10 to the number 94 and 96 is 100.
Z 1 = X 1 – Y, Z 2 = X 2 – Y (here Y is greater than X Therefore Z will be negative)
Step 2: -
| Part A | Part B |
|---|---|
| 94 - 4 | (-6) x (-4) |
| 90 | 24 |
Part A = (X1 + Z 2)
Part B = Z1 x Z2
Step 3 :-
| Part A | Part B |
|---|---|
| 90 | 24 |
Ans :- 9024
Rule 1:- No. of zeros in base is equal to no. of digits in part B.
Therefore here no. of zeros in base is equal to no. of digits in part B
Now Club Part A with Part B for Final Answer
Another Example of Two Digit Numbers lesser than Base
92 x 93
Step 1 –
| Number | Base | Difference |
|---|---|---|
| 92 (X1) | 100 (Y) | - 8 (Z1) |
| 93 (X2) | 100 (Y) | - 7 (Z2) |
Y= nearest power of 10 i.e 10, 100, 1000, 10000.
Thus nearest power of 10 to the number 92 and 93 is 100.
Z 1 = X 1 – Y, Z 2 = X 2 – Y (here Y is greater than X Therefore Z will be negative)
Step 2
-
| Part A | Part B |
|---|---|
| 92- 7 | (-8) x (-7) |
| 85 | 56 |
Part A = (X1 + Z 2)
Part B = Z1 x Z2
Step 3 -
| Part A | Part B |
|---|---|
| 85 | 56 |
Ans :- 8556
Rule 1:- No. of zeros in base is equal to no. of digits in part B.
Therefore here no. of zeros in base is equal to no. of digits in part B
Now Club Part A with Part B for Final Answer.