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Vedic
Mathematics

An ancient system of mathematics that utilizes simple, efficient and mental methods for solving mathematical problems
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Structured World-class Curriculum

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Real-life problem-solving simulations

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Vedic Maths is the present given to us from history by the famed scholars of India. It's an uncontemporary form of mathematics that was rediscovered by Shri Bharti Krishna Tirthaji between the times 1911 and 1918 from the ancient Vedas.

It comprises multitudes of ways to make working calculi more effective and effective. Using this system, long and tiring computations can be performed easily. Using this art, we can calculate the answers to tacky problems with perfection in nanoseconds of time. 

This doesn't only help in working computation but also algebra, figures, trigonometry, and applied mathematics. Vedic Maths ways are so simple that all the clumsy questions can be answered using internal calculation. There is no need to use a pen and paper to solve the calculations using this incredible Vedic math.

There are several tricks in Vedic Maths, one of them is the Squaring of a two-digit number ending with 5. Let's master the amazing trick here.

What do you understand by Vedic Mathematics?

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Grades: Junior

Vedic Math Multiplication Tricks

Multiplication is one of the fundamental operations in mathematics, and Vedic Math provides several methods for performing multiplication quickly and easily. One of the most commonly used methods is the "vertical and crosswise" method, also known as the "Nikhilam method."

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Vedic Math Addition Tricks

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Vedic Math Division Tricks

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Squaring a Two-Digit Number Ending with 5

Children feel hectic while learning the square of numbers. So here we have come with an interesting trick from Vedic math that would make the learning simple and easy. This vedic calculi formula is simple enough by which you can square a two-digit number which has 5 in its one’s place in a couple of seconds.

Steps to Square a Two-Digit Number whose Last Digit is 5

Let's learn how to square a number of two-digit ending with 5, quickly with perfection by following the below given steps of Vedic maths:

Step 1. Write the given number, 15
Step 2. Square the one's digit of the given number, $5^2=25$
Step 3. Write the remaining digit and multiply it with its successor, $1(1+1)=2$
Step 4. Lastly, write them together to obtain the square of the given number, 225
So, the square of 15 is 225.

For better understanding, see the illustration given below:
For illustration: $(75)^2= _$
Step 1. Squaring 5, we get 25 
Step 2. Multiplying 7 with its successor,
$7x(7+1) = 7 x 8 = 56$
Step 3. Writing down the above results together to obtain the required square of 75, which is 5625
Thus, the square of 75 is 5625.

Solved Examples

Example 1: Find the square of 95.

Solution: To find the square of 95, follow the given steps:

  1. Squaring one's digit 5, we get 25 

  2. Multiplying 9 with its successor, $9x(9+1) = 9x10 = 90$

  3. Writing down the above results together to obtain the required square of 95, which is 9025

Thus, the square of 95 is 9025.

Example 1:  Find the square of 55.

Solution: To find the square of 55, follow the given steps:

  1. Squaring one's digit 5, we get 25

  2. Multiplying 5 with its successor, 

        $5x(5+1) = 5x6 = 30$

    3. Writing down the above results together to obtain the required square of 55, which is 3025

Thus, the square of 55 is 3025.

Practice Questions

Ques 1. Obtain the square of the following:

  1. 53

  2. 25

  3. 85

Ques 2. Find the square of 65.

Ques 3. Calculate $45^2$.

Answers

1. I. 1225

II. 625

III. 7225

 

2. 4225

 

3. 2025

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