Did you ever hear about Vedic Math and wonder what exactly is it? Vedic Math is derived from the ancient Indian scriptures called as the Vedas. The Vedic math is very ancient and it has many interesting tricks and facts which can help improve a student’s ability to solve the given question. We will look through some Vedic math secrets that you can apply in your math problem solving. This should make you not only solve the questions faster but also very efficiently.

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Here are some methods:

1. **Squaring of a number ending in 5.**

Find the value of 35^{2}?

The number ends in 5 the square of it should always ends with 25. In front of 25 place 3 x 4 = 12. That is the product of 3 and its consecutive number which is 4. Follow the diagram for a better idea:

Did you follow the trick? The more you practice, you will be able to solve these questions in one step. Now let us look at the longer version for the same question:

Take a look at one more example to master the skill.

Find the value of 95^{2}?

Here since the number is ending is 5, the square will end in 25. In front of 25 place the product of 9 and 10. Follow the diagram to apply the method:

The answer is 9025.

This can be applied to three digit numbers as well. But the point to note is the number should end in digit 5.

Find the value of 205^{2}?

The number ends in 5, so the square of the number will end in 25. For the next step follow the diagram below:

The answer for the three digit multiplication for 205 x 205 = 42025. Check the answer in the longer method as well you will get the same value. **2. Square of numbers between 30 to 70?** In this method we can find the square of the number between 30 and 70 within no time. Usually it takes us the regular multiplication method or the calculator to find the square of a number. Imagine, if you can solve it in the mind in a fraction of few seconds. Find the value of (51)^{2}? Step 1: Find the difference between the given number and 50. You get 51 – 50 = 1. Step 2: Now add the difference to 25, this gives 25 + 1 = 26. (These are the first two digits.) Step 3: The last two digits of the square will be equal to the square of the difference.

Follow the diagram for the next step:

Find the value of (64)^{2}?

Step 1: The difference between the given number and 50. You get 64 – 50 = 14. (As 64 > 50)

Step 2: Now add the number 14 to 25, this gives 25 + 14 = 39.

Step 3: Calculate the square of the difference 14^{2} = 196.

For the last step follow the diagram.

Find the value of (44)^{2}?

Step 1: The difference between 50 and 44. You get 50 – 44 = 6. (As 44 < 50)

Step 2: Now subtract the number 6 from 25, this gives 25 – 6 = 19. (First 2 digits of the square.)

Step 3: Calculate the square of the difference 6^{2} = 36. (Last 2 digits of the square.)

For the last step follow the diagram.

Hence the number is 44^{2} = 1936. (Practice this method for more numbers.)

3. **Subtracting any given number from 1000.**

In this method for the given number that has to be subtracted from 1000, subtract the ones place by 10 and the remaining numbers by 9. For a better idea try to follow the examples shown below:

Find the value of 1000 – 356?

For this question subtracting 6 from 10 and 3, 5 from 9. Follow the diagram below:

Hence 1000 – 356 = 754.

Once you get a hold of this method you will be able to subtract quickly in your mind. This can also be applied to numbers when subtracted from 10 or multiples of 10, such as 100, 1000. 10000 and so on.

Let us take a look at another examples:

Find the value of 10000 – 8943?

Here subtract the digits in 8943 such that, ones place is subtracted from 10 and the remaining numbers from 9. Follow the diagram:

Hence the answer to 10000 – 8943 = 1057.

4. **Finding the cube root of a given number.**

In this method you will be able to find the cube root of any given number within a fraction of few seconds. You need the values of cubes from 1 to 9 for finding the cube roots. Here is the list:

The number 2744 has a cube root. Find the cube root 2744?

For this method you need a confirmation that 2744 has a cube root. Once you are sure of it, check the last number which is 4. Which cube in the list has the last number 4? 4^{3} = 64. Now cross of the last three numbers and follow the diagram below:

The number 593919 is a cube of a number. Find the cube root of the number?

Here the given number is ending with 9, so the last digit of the cube roots should be 9. Since 9^{3} = 729. For the next steps follow the diagram below:

As observed in the diagram above after crossing the last three numbers 59 is closest to 27 which is 3^{3}. Hence, the cubic root is 39.

** 5. Division of numbers made simple.**

Find the value of 72 divided by 5?

Here the number 72 is divided by 5. Observe the number 5 can be written as 5 x 2 = 10.

The solution can be found easily within no time as follows:

Find the value of 64 divided by 25?

Here the number 64 is divided by 25. Observe the number 25 can be written as 25 x 4 = 100.

Follow the diagram below to get the solution:

Hence the value for 64/25 = 2.56.

This can be applied to bigger numbers as well such as:

Find the value of 567 divided by 20?

Here as well take a look at the divisor which can be written as 20 x 5 = 100.

The next step is to multiply the numerator and denominator of 567/20 by 5.

Hence the solution for 567/20 = 28.35.

Did you observe math calculations which usually take many steps to solve can be calculated in the fractions of few seconds? Well there are many more math secrets which can make using the calculator optional. So keep learning and engage yourself in discovering many more tricks. All the Best!

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— Tutor Pace (@TutorPace) September 16, 2015

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I don’t like this site

i loved this site.ONLY i had problem in square of numbers between 30 and 70. plz make me understand one more time.

Aadit Kapoor

Thank you Aadit.

Nice work!

In the 3rd method, there is an error in the explanation, 1000-356 should be 644 and not 754. The explanation is correct but the numbers are wrong. Please rectify.