7 Vedic Math Tricks for Quick Calculations

Mathematical calculations are extremely challenging and prone to errors. In such scenarios, tricks from Vedic math are quite helpful. This is particularly true when you are planning to appear for various competitive exams. To help you with this, we are here with simple Vedic math tricks for quick calculations.

Since ancient times, simple strategies for performing mathematical operations such as addition, subtraction, multiplication, and division have been used in India. Vedic mathematics simplifies these mathematical operations. Vedic math concepts and ideas are widely accepted around the world.

7 Vedic math tricks for quick calculations

1. Squaring a number ending with 5

1. For this Vedic Math trick, first, multiply the unit digit of the number, that is, 5 by 5.
2. Next, multiply the number preceding 5 by the next higher number.
3. Finally, place them sequentially to obtain an accurate result.

Let’s say you take the number 135 for this calculation.

Step 1: Multiply 5 of 135 by 5 to get 25.
5X5 = 25
Step 2: Multiply the preceding number (13 in this case) with the immediate next number, which is 14, to get 182.
13 X 14 = 182
Step 3: Finally, place them sequentially to get the square of 135 as 18225.

2. Multiplying any number by 5

For this, in the case of even numbers, divide it by 2 and add a 0 at the end of the result.
For example, if you take the number 6,

Step 1: Divide the number 6 by 2 to get 3.
6/2 = 3
Step 2: Add a 0 at the end to get 30 as the result.

For odd numbers, first subtract 1 from it, divide it by 2, and then add 5 at the end.
Say you take a number 7.

Step 1: Subtract 1 from 7 to get 6.
7 – 1 = 6
Step 2: Divide 6 by 2 to get 3.
6/2 = 3
Step 3: Place 5 at the end to get 35 as the result.

3. Multiplication of 2-digit numbers (11–19)

1. For this, add the unit digit of the smaller number to the larger number.
2. Then multiply the sum by 10.
3. Then multiply the unit digits of the two original numbers.
4. Finally, add two results (steps 2 and 3) to get the desired outcome of your problem.

For example, let’s multiply 12 and 13:

Step 1: To multiply 12 and 13, first add the unit digit of the smaller number (2) with the larger number (13) to get 15.
2 + 13 = 15
Step 2: Next, multiply 15 by 10 to get 150.
15 X 10 = 150
Step 3: After that, multiply both unit digits (2 and 3) to get 6.
2 X 3 = 6
Step 4: Finally, add 150 and 6 to obtain the result of 156.

4. Multiplying any two-digit number by 11

In this, when multiplying a 2-digit number by 11, place both the digits at each end and place the sum of these digits at its centre.
For example, take 13 x 11.

Step 1: Place 1 and 3 at each end.
Step 2: Add 3+1 to get 4.
3 + 1 = 4
Step 3: Place 4 at the centre to get the result of 143.

5. Subtracting any number from 100, 1000, 10000 and other multiples of 10.

To subtract any number from 100, 1000, 10000… using Vedic Math trick, follow these steps:

1. If the number you are subtracting from (let’s say 1000) has more than 1-digit difference from the number you are subtracting (let’s say 23), then add 1 more zero to the left of your original number. In any case, you should add zeroes till the number of digits in your original number is 1 less than the number you are subtracting from.
2. Subtract the unit digit from 10 and each remaining digit of the number from 9.
3. Then, place them sequentially to obtain the result.

To subtract 23 from 1000, we will first add zeros. Since we are subtracting from 1000, which is a 4-digit number, and our original number has 2 digits, we will add just 1 zero.
= 023

Step 1: Subtract 3 from 10 to get 7.
10 – 3 = 7
Step 2: Subtract 2 from 9 to obtain 7.
9 – 2 = 7
Step 3: Subtract 0 from 9 to obtain 9.
9 – 0 = 9
Step 4: Place the number sequentially to obtain 977 as the result.

6. Dividing a large number by 5

1. First, multiply the entire number by 2.
2. Next, place a decimal right before the unit digit of the resulting number to obtain the final result.

For example, take the number 333.

Step 1: Multiply 333 by 2 to get 666.
333 X 2 = 666
Step 2: Place a decimal before the unit digit so it becomes 66.6, which is the accurate result.

7. Finding the square value of a number

1. Select a base number closer to the original number.
2. Calculate the difference between the base and the original number.
3. Add the original number and the difference arrived at, and multiply it by the base.
4. Add the square of the difference between the base and the original number with the result obtained above to get the final result.

For example, take a number, say 102.

Step 1: Take the base number to be 100.
Step 2: The difference between 102 and 100 is 2.
102 – 100 = 2
Step 3: Now, add 2 to 102 to get 104.
2 + 102 = 104
Step 4: Multiply 104 by 100 to get 10400.
104 X 100 = 10400
Step 5: Add the square of 2, that is, 4, to 10400 to get 10404 as your answer.

Conclusion

Incorporating these Vedic math tricks for easy calculations will help you save time as well as enhance your concentration and memory. You can make instant and accurate calculations with these tricks, helping you score extremely well in exams. What you need is regular practise, and you’ll be able to make otherwise long and tedious calculations in seconds. So, embrace the wisdom of our ancestors and let it help you excel.

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