In the realm of mathematics, efficiency and speed often play crucial roles, especially when it comes to basic operations like addition and subtraction. Embracing the techniques of Vedic math can significantly enhance one’s ability to perform these operations swiftly and accurately. Derived from ancient Indian scriptures, Vedic math offers a treasure trove of methods and sutras aimed at simplifying mathematical calculations.

### Understanding Vedic Math

Vedic math, derived from the Sanskrit word ‘Veda’ meaning ‘Knowledge’, presents a repertoire of techniques to tackle mathematical problems with ease and speed. As we delve into the world of Vedic math, let’s explore some fundamental tricks for addition and subtraction, as shared by Manan Khurma, Founder at Cuemath.

### Vedic Math Tricks for Addition

#### Step 1: Utilizing 10s Multiples

To facilitate quicker addition, identify numbers closest to 10s multiples. Here’s a quick guide:

- Numbers like 7, 8, 9 are close to 10
- Similarly, 21, 22, 23 are close to 20
- Apply this principle to numbers like 67, 68, 69 (close to 70), 97, 98, 99 (close to 100), and so forth.

#### Example:

Let’s add 27 and 98:

- Add 30 and 100, yielding 130
- Subtract the deficiency (3 + 2) from 130, resulting in 125.

#### Step 2: Place Value Addition

Another efficient method involves adding hundreds with hundreds, tens with tens, and ones with ones.

##### Example:

Given: 220 + 364 + 44 + 18

- Break down the addition into respective place values:
- 200 + 300 = 500
- 20 + 60 + 40 + 10 = 130
- 4 + 4 + 8 = 16

- Sum up the results:
- 500 + 100 = 600
- 30 + 10 = 40
- Units: 6

- Final Result: 600 + 40 + 6 = 646

### Vedic Math Tricks for Subtraction

#### Step 1: Direct Subtraction

If the subtrahend is smaller than the minuend, subtract the numbers directly.

#### Example:

98 – 47 = 51

#### Step 2: Utilizing Complements

When digits in the minuend are smaller than their counterparts in the subtrahend, leverage the concept of complements.

##### Example:

896 – 239

- Replace the value of 9 with its complement, subtracting 1 from the digit in the next place.
- Result: 896 – 239 = 657

### Conclusion

Vedic math offers invaluable techniques to streamline arithmetic operations, fostering faster and more efficient calculations. By incorporating these tricks into your mathematical repertoire, you can enhance your problem-solving skills and navigate mathematical challenges with confidence and agility.