Addition And Subtraction In Vedic Maths

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Addition and subtraction in Vedic Maths

Vedic maths Addition

Usually if we want to add to numbers say 52 and 66 we would add the unit digits. and if there is any remainder we will bring it to the tens digit and atlast we will add the tens digit.

Now we will do it in the different way.

Let us take the same number 52 and 66.

The first step is to add the first number and the unit digit of the second number

ie. 52 + 6 = 58

The second step is to jump tens digit time.

our tens digit is 6.

so the answer is 118

 

Vedic Maths Subtraction

This Vedic Maths Subtraction method found as sutra in ancient Vedas, is given below is very useful for such subtractions.

For example 1000 – 357 = ?

We simply take each figure in 357 from 9 and the last figure from 10.

Step 1.            9-3 = 6

Step 2.            9-5 = 4

Step 3.            10-7 = 3

So the answer is 1000 – 357 = 643

This always works for subtractions from numbers consisting of a 1 followed by

noughts: 100; 1000; 10,000 etc.

Similarly 10,000 – 1049 = 8951      (subtraction from 10000)

9-1 = 8

9-0 = 9

9-4 = 5

10-9 = 1

So answer is 8951

For 1000 – 83, in which we have more zeros than figures in the numbers being subtracted, we simply suppose 83 is 083.

So 1000 – 83 becomes 1000 – 083 = 917

Vedic maths multiplication

The Vedic method (the general method, at least) is based on the Urdhva-Tiryagbhyam sutra. A very terse sutra, it simply translates in English to say “vertically and crosswise”. The sutra is rather vague, so the technique, as well as an algebraic analysis of the technique, is presented in the following steps:

An Algebraic Perspective

 

All numbers n the base 10 Number System (and number systems of any other base, for that matter) consist of a number of digits. Each digit represents a multiple times a power of 10 (or whatever the number system’s base is). So, for example, given a number like 52, we could rewrite it as 5*10+2.

Algebraically speaking, we can express any 3-digit number as: ax+b (where a, and b are integers).

So, suppose we wanted to multiply 2 2-digit numbers. We can express them in polynomial form. Then, by foiling:

(ax+b)(cx+d) = acx2+(ad+bc)x+bd

 

Algebraic Multiplication for Higher Numbers of Digits

So, for brief review, 2-digit by 2-digit algebraic multiplication goes as follows (x in all of the following examples is the base of the number system being used, which is usually 10):

(ax+b)(cx+d) = acx2+(ad+bc)x+bd

Expanding to 3-digit by 3-digit algebraic multiplication:

(ax2+bx+c)(dx2+ex+f) = adx4+(ae+bd)x3+(af+be+cd)x2+(bf+ec)x+cf

Now, 4-digitby 4-digit algebraic multiplication (ax3+bx2+cx+d)(ex3+fx2+gx+h)=aex6+(af+be)x5+(ag+bf+ce)x4+(ah+bg+cf+de)x3+(bh+cg+df)x2+(ch+dg)x+dh

 

 

 


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Vedic Mathematics is a system of mathematics that is based on the Vedic scriptures. It is a very ancient system of mathematics that has been passed down through the generations. Vedic Mathematics is a very powerful system of mathematics that can be used to solve problems quickly and easily.

One of the most important aspects of Vedic Mathematics is the concept of “chunking.” Chunking is the process of grouping numbers together so that they can be added or subtracted more easily. For example, if you want to add the numbers 123 and 456, you can chunk them together as follows:

123 + 456 = (100 + 20 + 3) + (400 + 50 + 6) = 1000 + 600 + 80 + 70 + 9 = 1759

As you can see, chunking makes it much easier to add the numbers 123 and 456.

Another important concept in Vedic Mathematics is the concept of “carry over.” Carry over is the process of carrying the extra digit from one column to the next when you are adding or subtracting numbers. For example, if you want to add the numbers 123 and 456, you would carry over the 1 from the ones column to the tens column. This would give you the following:

123 + 456 = (100 + 20 + 3) + (400 + 50 + 6) + 1 = 1000 + 600 + 80 + 70 + 9 + 1 = 1759

As you can see, carry over is necessary when you are adding or subtracting numbers that are larger than 9.

Vedic Mathematics also includes a number of other techniques that can be used to solve problems quickly and easily. These techniques include the “finger method,” the “necklace method,” and the “flower method.”

The finger method is a technique that can be used to add or subtract numbers using your fingers. The necklace method is a technique that can be used to multiply numbers using a necklace. The flower method is a technique that can be used to divide numbers using a flower.

Vedic Mathematics is a very powerful system of mathematics that can be used to solve problems quickly and easily. It is a very ancient system of mathematics that has been passed down through the generations. If you are looking for a way to improve your math skills, Vedic Mathematics is a great option.

Here are some additional details about the subtopics you mentioned:

  • Vertical Addition: This is the most basic form of addition in Vedic Mathematics. It is simply a matter of lining up the numbers and adding them together from left to right.
  • Reverse Addition: This is a more advanced form of addition that involves adding the numbers in reverse order. This can be helpful for adding large numbers or for checking your work.
  • Chain Addition: This is a technique that involves adding a series of numbers together without carrying over any digits. This can be helpful for adding long lists of numbers.
  • Finger Addition: This is a technique that uses your fingers to add numbers. This can be a helpful way to learn how to add numbers quickly and easily.
  • Kuchh bhi Naam: This is a technique that uses the names of the numbers to add them together. This can be a helpful way to learn how to add numbers quickly and easily.
  • Sum of Digits: This is a technique that involves finding the sum of the digits in a number. This can be helpful for solving problems involving place value.
  • Reverse Subtraction: This is a more advanced form of subtraction that involves subtracting the numbers in reverse order. This can be helpful for subtracting large numbers or for checking your work.
  • Chain Subtraction: This is a technique that involves subtracting a series of numbers together without carrying over any digits. This can be helpful for subtracting long lists of numbers.
  • Finger Subtraction: This is a technique that uses your fingers to subtract numbers. This can be a helpful way to learn how to subtract numbers quickly and easily.
  • Kuchh bhi Naam: This is a technique that uses the names of the numbers to subtract them together. This can be a helpful way to learn how to subtract numbers quickly and easily.
  • Difference of Digits: This is a technique that involves finding the difference of the digits in a number. This can be helpful for solving problems involving place value.

I hope this information is helpful!

Multiplication

  1. What is Vedic Mathematics?
    Vedic Mathematics is a system of mathematics that is based on the Vedic scriptures. It is a very ancient system of mathematics that has been passed down through the generations.

  2. What are the benefits of Vedic Mathematics?
    There are many benefits to using Vedic Mathematics. It is a very efficient system of mathematics that can help you to solve problems quickly and easily. It is also a very powerful system of mathematics that can be used to solve complex problems.

  3. How do I learn Vedic Mathematics?
    There are many ways to learn Vedic Mathematics. You can take a class, read a book, or watch a video. There are also many online Resources that can help you to learn Vedic Mathematics.

  4. What are some of the basic concepts of Vedic Mathematics?
    Some of the basic concepts of Vedic Mathematics include:

  5. The Vedic table of multiplication

  6. The Vedic table of division
  7. The Vedic table of square roots
  8. The Vedic table of cube roots
  9. The Vedic table of FRACTIONS
  10. The Vedic table of decimals

  11. What are some of the advanced concepts of Vedic Mathematics?
    Some of the advanced concepts of Vedic Mathematics include:

  12. The Vedic system of algebra

  13. The Vedic system of geometry
  14. The Vedic system of trigonometry
  15. The Vedic system of calculus
  16. The Vedic system of statistics

Division

  1. What is division?
    Division is the process of splitting a number into equal parts.

  2. What are the different ways to divide a number?
    There are many different ways to divide a number. The most common way is to use long division. However, there are also other methods, such as short division and Vedic Mathematics.

  3. What is long division?
    Long division is a method of division that is used to divide a large number by a smaller number.

  4. What is short division?
    Short division is a method of division that is used to divide a small number by a smaller number.

  5. What is Vedic Mathematics?
    Vedic Mathematics is a system of mathematics that is based on the Vedic scriptures. It is a very ancient system of mathematics that has been passed down through the generations.

Fractions

  1. What is a fraction?
    A fraction is a part of a whole. It is written as two numbers, one on top of the other, with a line between them. The number on top is called the numerator, and the number on the bottom is called the denominator.

  2. What are the different types of fractions?
    There are two main types of fractions: proper fractions and improper fractions. Proper fractions are fractions where the numerator is smaller than the denominator. Improper fractions are fractions where the numerator is larger than or equal to the denominator.

  3. What are the different ways to add and subtract fractions?
    There are two main ways to add and subtract fractions: with a common denominator and with a regrouping method.

  4. What are the different ways to multiply and divide fractions?
    There are two main ways to multiply and divide fractions: by multiplying the numerators and the denominators, and by multiplying the numerators and dividing the denominators.

  5. What are the different ways to simplify fractions?
    There are two main ways to simplify fractions: by canceling common factors, and by finding the greatest common factor.

Decimals

  1. What is a decimal?
    A decimal is a number that is written with a decimal point. The decimal point separates the whole number part of the number from the fractional part of the number.

  2. How do you read a decimal?
    To read a decimal, you read the whole number part of the number, followed by the decimal point, followed by the fractional part of the number.

  3. How do you add and subtract decimals?
    To add and subtract decimals, you line up the decimal points and then add or subtract the digits in each place value column.

  4. How do you multiply and divide decimals?
    To multiply decimals, you multiply the whole numbers and the decimals separately, and then add the decimal points in the product. To divide decimals, you move the decimal point in the divisor to the right the same number of places as there are digits to the right of the decimal point in the dividend, and then divide as usual.

  5. What are some common decimals?
    Some common decimals include:

  6. 0.1 = one tenth

  7. 0.2 = two tenths
  8. 0.3 = three tenths
  9. 0.4 = four tenths
  10. 0.5 = five tenths
    *

Sure, here are some MCQs on the topics of multiplication, division, and fractions in Vedic Maths:

  1. What is the Vedic Maths method for multiplying two numbers?
    (A) The Vedic Maths method for multiplying two numbers is called the “Samkhya method.”
    (B) The Vedic Maths method for multiplying two numbers is called the “Bhaskara method.”
    (C) The Vedic Maths method for multiplying two numbers is called the “Ganesh method.”
    (D) The Vedic Maths method for multiplying two numbers is called the “Chandra method.”

  2. What is the Vedic Maths method for dividing two numbers?
    (A) The Vedic Maths method for dividing two numbers is called the “Samkhya method.”
    (B) The Vedic Maths method for dividing two numbers is called the “Bhaskara method.”
    (C) The Vedic Maths method for dividing two numbers is called the “Ganesh method.”
    (D) The Vedic Maths method for dividing two numbers is called the “Chandra method.”

  3. What is the Vedic Maths method for adding two fractions?
    (A) The Vedic Maths method for adding two fractions is called the “Samkhya method.”
    (B) The Vedic Maths method for adding two fractions is called the “Bhaskara method.”
    (C) The Vedic Maths method for adding two fractions is called the “Ganesh method.”
    (D) The Vedic Maths method for adding two fractions is called the “Chandra method.”

  4. What is the Vedic Maths method for subtracting two fractions?
    (A) The Vedic Maths method for subtracting two fractions is called the “Samkhya method.”
    (B) The Vedic Maths method for subtracting two fractions is called the “Bhaskara method.”
    (C) The Vedic Maths method for subtracting two fractions is called the “Ganesh method.”
    (D) The Vedic Maths method for subtracting two fractions is called the “Chandra method.”

  5. What is the Vedic Maths method for multiplying two fractions?
    (A) The Vedic Maths method for multiplying two fractions is called the “Samkhya method.”
    (B) The Vedic Maths method for multiplying two fractions is called the “Bhaskara method.”
    (C) The Vedic Maths method for multiplying two fractions is called the “Ganesh method.”
    (D) The Vedic Maths method for multiplying two fractions is called the “Chandra method.”

  6. What is the Vedic Maths method for dividing two fractions?
    (A) The Vedic Maths method for dividing two fractions is called the “Samkhya method.”
    (B) The Vedic Maths method for dividing two fractions is called the “Bhaskara method.”
    (C) The Vedic Maths method for dividing two fractions is called the “Ganesh method.”
    (D) The Vedic Maths method for dividing two fractions is called the “Chandra method.”

  7. What is the Vedic Maths method for finding the LCM of two numbers?
    (A) The Vedic Maths method for finding the LCM of two numbers is called the “Samkhya method.”
    (B) The Vedic Maths method for finding the LCM of two numbers is called the “Bhaskara method.”
    (C) The Vedic Maths method for finding the LCM of two numbers is called the “Ganesh method.”
    (D) The Vedic Maths method for finding the LCM of two numbers is called the “Chandra method.”

  8. What is the Vedic Maths method for finding the HCF of two numbers?
    (A) The Vedic Maths method for finding the HCF of two numbers is called the “Samkhya method.”
    (B) The Vedic Maths method for finding the HCF of two numbers is called the “Bhaskara method.”
    (C) The Vedic Maths method for finding the HCF of two numbers is called the “Ganesh method.”
    (D) The Vedic Maths method for finding the HCF of two numbers is called the “Chandra method.”

  9. What is the Vedic Maths method for finding the square root of a number?
    (A) The Vedic Maths method for finding the square root of a number is called the “Samkhya method.”
    (B) The Vedic Maths method for finding the square root of a number is called the “Bhaskara method.”
    (C) The Vedic Maths method for finding the square root of a number is called the “Ganesh method.”
    (D) The Vedic Maths method for finding the square root of a number is called the “Chandra method.”

  10. What is the Vedic Maths method for finding