Vedic Maths: For Fast Calculations – Part 2
While interacting with a student, PM Modi spoke about Vedic Maths in his recent #MannKiBaat. Do you want to know how it can improve your calculation speed? Here, we are republishing the second article of our 5-article series on Vedic Maths. You can check all the articles in our section SUBJECT CHECK
In Part 1, we taught you how to multiply two-digit numbers where the units digit is same and the sum of the numbers at tens digit is 10?
Now, let’s interchange them.
Method 3:
How do we find the product of two-digit numbers where tens digit is the same and the sum of the units digits is 10?
For example,
34 x 36
Note the sum of the units digits (4+6) is 10 and the tens digits of the two numbers is the same, i.e, 3
Step 1:
Multiply the tens digit with its next number.
3 x 4 = 12
Step 2:
Multiply the units digits
4 x 6 = 24
Step 3:
Combine the answers obtained in step 1 and 2 to get the correct answer:
1224 (34 x 36 = 1224)
Simple! Isn’t it?
Method 4: Multiplication by factors
Example 1: 44 x 14
Since we know 14 = 2 x 7, multiplication by 14 can be easily achieved. Hence, in order to multiply any number by 14, we will first multiply it by 2 and then multiply the answer by 7.
Step 1:
44 x 14 = 44 x (2 x 7)
Step 2:
First multiply 44 by 2, i.e,
44 x 2 = 88
Step 3:
Multiply the number obtained in step 2 with 7 to get the answer, i.e.,
88 x 7 = 616
Answer: 44 x 14 = 616
Example 2:
Step 1:
79 x 81 = 79 x (9 x 9)
Step 2:
Multiply 79 by 9, i.e,
79 x 9 = 711
Step 3:
Multiply the number obtained in step 2 with 9 to get the answer, i.e.,
711 x 9 = 6399
Answer: 79 x 81 = 6399
Method 5: When the multiplication involves 25 or 50
Example: 44 x 25
We know that 25 is one-quarter of 100, that is, 100 /4 = 25. So instead of multiplying by 25, we will multiply the number by 100 and then divide the answer by 4.
Step 1:
44 x 25 = 44 x 100/4
Step 2:
Multiply the number by 100
44 x 100 = 4400
Step 3:
Divide the answer obtained in Step 2 with 4
4400/4 = 1100
The number obtained is the required answer, i.e, 44 x 25 = 1100
Similarly, when multiplying with 50, the fraction will become 100/2. The rest of the method will remain the same.
SEE ALSO:
1. Vedic Maths: For Fast Calculations – I
2. Vedic Maths: For Fast Calculations – Part 3
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