# Vedic Maths – 3: Base Method

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In this article, we are going to talk about Base Method. In this method, we identify a ‘base’. Base is a number that is a simple number (usually multiples of 10) and must be close to both the numbers given. For example, 13 x 14 – In this, the base will be 10.

Now let’s try to solve some problems using the base method.

Ex 1: Multiply 14 by 16

Step 1:

Identify the base. Since 10 is close, this will be the base.

Step 2:

The difference between number 14 and base is (+4). Since the difference is positive, we call it surplus (the negative difference is called deficit).

Similarly, the difference between number 16 and base is (+6).

Step 3:

Add either (+4) to 16 or (+6) to 14. This process is called cross addition. Either way, we get 20 as answer.

Now, multiply 20 with base, i.e, 20 x 10 = 200

Step 4:

Now multiply the surpluses, i.e, 4 and 6 in this example.

(+4) x (+6) = (+24)

Step 5:

Add the answers obtained in step 3 and 4, i.e.,

200 + 24 = 224

This is our answer.

Simple! Isn’t it?

Now let’s try one more.

**Example 2:**

Multiply 32 x 36

Step 1: Base will be 30

Step 2: 32 – 30 = (+2)

36 – 30 = (+6)

Hence, surpluses are (+2) and (+6)

Step 3: Cross addition gives us 38. By multiplying 38 with 30, we get 1140

Step 4: (+2) x (+6) = (+12)

Step 5: 1140 + (+12) = 1152. This is our answer.

**Example 3:**

Now let’s try this when we have deficits.

Multiply 28 x 27

Step 1: Since 20 will not be close to the numbers, we will choose 30 as our base.

Step 2: 28 – 30 = (-2)

27 – 30 = (-3)

Step 3: Cross addition gives us 25 (28 – 3) and (27 – 2)

25 x 30 = 750

Step 4: (-2) x (-3) = (+6)

Step 5: 750 + (+6) = 756

Hence, 28 x 27 = 756

**NB: **

**1. If the numbers are in 80s or 90s, it is better to have 100 as base for easier calculations. **

**2. Base method is useful where the two numbers to be multiplied are close in the number series. What if the numbers are 38 x 74 or 43 x 168. We will deal with that in our next part. Till then, practice and master the base method.**

**SEE ALSO: **

**Vedic Maths: For Fast Calculations – Part 2**

**Vedic Maths: For Fast Calculations – Part 1**

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