Do you want to get 10 times faster at calculations?
Do you want to master addition and subtraction?
Mathematics has always seemed to be challenging to study for many. To make it friendly to learners, continued efforts, research, and advancements are continuously made throughout human beings’ history. In ancient times, easy methods of mathematical operations, namely, addition and subtraction, etc. had been in practice. Vedic mathematics simplifies mathematical operations. Formulae and concepts of Vedic mathematics are widely accepted world over.
Vedic mathematics was an ancient method of solving mathematics problems. Later, Shankaracharya Swami Bharati Krishna Tirtha discovered Vedic mathematics. He is called the Father of Vedic mathematics.
Vedic mathematics tricks are beneficial in competitive examination.
Vedic is a Sanskrit word, the root word being Vid.
It means knowledge; Ved means knowing all without limit. Vedic mathematics consists of Sutras to solve mathematical problems easily and speedily.
Though it is outdated, it is helpful to solve mathematical problems mentally and easily.
The name Vedic signifies its origin as Vedas.
Of the 4 Vedas, Vedic mathematics is part of Atharva Veda, the 4th Veda.
Veda is all-embracing i.e., Engineering, mathematics, science, medicine, and sculpture, etc.
Vedic mathematics covers applications to arithmetical calculations, number theory, algebraic equations, simultaneous equations, partial fractions, calculus, square root, cube root, coordinate geometry etc.
There are techniques for solving mathematical problems. This blog talks about addition and subtraction.
These techniques are tricks resulting in efficiency and speed in solving mathematical problems. It ultimately leads to mental calculations. It consists of operations made repeated. Vedic mathematics tricks give answers in one step.
Efficiency and ability for memorizing reduce calculations. Hence speed, time, money, and accuracy are not compromised.
In ancient times, first mathematical operation was by counting from 1 and adding 1 further as below:
1 + 1 = 2,
2 + 1 = 3
3 + 1 = 4
9 + 1 = 10 and further with multiple additions.
Counting was done by use of fingers and other rude methods earlier.
Over time, they became known and familiar results in memory. Thus, counting and adding existed. By repetition of these processes, again and again, we are familiar with most common numbers.
The most basic arithmetic sequence is ‘Memorize and no need to calculate’.
Basic sets to memorize
1. All sums up to 10
2 + 4 = 6
3 + 5= 8
4 + 6 = 10
5 + 5 = 10
2. Addition of all single digit numbers.
5 + 5 = 10
6 + 7 = 13
7 + 7 = 14
9 + 8 = 17 etc.
3. All compositions of 10.
5 + ? = 10
6 + ? = 10
? + 6 = 10
Additioin Tricks! Get better at calculations
Some special number pairs that add to 10
1 + 9 = 10
2 + 8 = 10
3 + 7 = 10
4 + 6 = 10
5 + 5 = 10
Merely on seeing such pairs, the sum is understood mentally.
To add one-digit number to another digit number, the technique involves having a basic number for easy calculation. To have multiples of 10 as benchmarks is safe and easy.
23 + 8. Take 20 as a benchmark. Then 23 + 8 = 20 + 3 + 8 = 20 +11 = 31.
126 + 8. Benchmark 130.
126 + 4 + 4 = 130 + 4 = 134.
Breaking apart by place value
Decimal place value system for every number is used.
Subtract the subtrahend from the highest next power of 10 by Nikhilam rule.
99910 - 1789 = 8211
Add the result to the minuend, i.e., 3625 + 8211 = 11836.
Deleting the first digit, 1, the answer is 1836.
4529 - 2380
In this, 2380, the last digit from the left is zero. Here ‘8’ is to be subtracted from 10, keeping the zero as the last digit from left.
99100 – 23 80 = 7620 + 4529
Deleting the left first digit, the answer is 2149.
45827 - 398 (subtrahend is of less digits than minuend)
i.e., 45827 - 00398
i.e., 999910 - 00398 = 99602 ---------(1)
Add (1) with 45827
99602 + 45827 = 145429
Deleting 1, the answer is 45429.
Minuend less than subtrahend
351 - 497
Apply NIKHILAM rule to Minuend
9910 - 351 = 649
649 + 497 = 1146
Deleting 1, first digit at left, the answer is -146.
This blog talks about the addition and subtraction tricks for fast calculation. Apart from getting quick at calculations, vedic maths helps develop a child's mind and improves his/her cognitive ability. Some features of vedic maths are:
Vedic Mathematics gives the answers in mathematical problems of addition, subtraction and multiplication etc in one step.
Vedic Mathematics is outdated.
Yet, it is easy and simple.
Problems can be solved quickly in Vedic Mathematics.
Hence it is helpful in competitive examinations of CBSE, ECSE mathematics or JEE problems in less time and with high accuracy.
No need arises for any calculation when Vedic Mathematics is used for mathematical problems.
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How do you add using Vedic Maths?
In Vedic maths, addition operation is made as follows:
By associative method
By commutative method
By using benchmark, and
By breaking apart based on place value.
How do you subtract using Vedic Maths?
In Vedic maths, subtracting is done by following techniques:
Subtracting the number in the question, the operation is started from the nearest power of 10,
Using the Nikhilam rule, “All from 9 and the last from 10”.
What is Nikhilam formula?
Nikhilam formula is used in the mathematical processes of subtraction and multiplication.
Nikhilam formula (Sutra) is one of the 16 sutras of Vedic Mathematics.
Nikhilam's formula states, “All from nine and the last from ten”.
i.e., Nikhilam is applied to a number, subtract each digit from 9 and the last digit from 10.