It is very important to learn and understand the two basic concepts to make any calculation easy. These two concepts are the pillars of **Vedic Maths**. They are

1) Base

2) Complements

**What is a Base?**

Bases are the numbers which start with 1 and ends with 0’s. For example 10, 100, 1000, 10000, 100000, and so on are called bases. The first 2-digit number is 10 and the first 3-digit number is 100 and so on. Only these kind of numbers are considered as bases. Numbers such as 200, 300, 450, 1500 are not considered as bases.

**What is a Complement?**

When two numbers are added with each other and it results in the next nearest base, then they are called Complements of each other.

For Example,

1) Consider the number 73. The next nearest base of 73 is 100. By adding 27 we will get 100. So 73 and 27 are complements to each other.

2) Consider the number 156. The next nearest base of 156 is 1000. By adding 844 we get 1000. So they are Complements.

3) Similarly,

Complement of 6 is 4 (Base is 10).

Complement of 25 is 75 (Base is 100).

Complement of 6545 is 3455 (Base is 10000).

How to find the Complement of a number in a easier way?

Complement of a number can be calculated by **subtracting** all numbers from 9 and the last number by 10.

eg: Complement of 358732?

Solution: 9 9 9 9 9 10 **–** 3 5 8 7 3 2 = 6 4 1 3 6 8

The Formula is “**All from 9 and the last from 10**“.

Complement of 5183?

Solution :

9 9 9 10 – 5 1 8 3 = 4 8 1 7

** What if the last digit is “Zero”??**

In that case treat the last non-zero number as the last digit and use the same above formula.

Eg: Complement of 69560670??

Solution: 9 9 9 9 9 9 10

**– ** 6 9 5 6 0 6 7 0

3 0 4 3 9 3 3 0

**Exercises:**

Find the Complement of

1) 234 2) 3457 3) 12967 4) 2463751 5) 10920

**Answers:**

1) 766 2) 6543 3) 87033 4) 7536249 5) 89080

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