Multiplication Shortcut of Two Digits Nearest to Base

How to do multiplication of two digit numbers nearest to base value using Vedic Maths Shortcut?

Explanation

This multiplication is possible when both the numbers (two digit numbers) are nearest to the base value. Base values are the multiples of 10, such as 10, 100, 1000, 10000 etc..,
Let us see the shortcut with an example, 99 x 98
Multiplication of 2 digit nos near to base example
Step 1: Here the base value is 100, as both the value is nearest to the 100.
Now write down as
99 -1(subtract the base value 100 from 99)
98 -2(subtract the base value 100 from 98)
Multiplication of 2 digit nos near to base step1
Step 2:
Now crosswise subtract the values.
So 99 - 2 = 98 - 1 = 97.
When you do crosswise subtraction, values obtained will be always same on both sides.
Multiplication of 2 digit nos near to base step2
Step 3:

Do the vertical multiplication between 1 x 2 = 2.
As the base value is 100, the value must have two digits, so add 0 before 2. So, the second part of the answer is 02.
Multiplication of 2 digit nos near to base Step3
Step 4: Combine the step 3 result with the step 2 result.
99 x 98 = 9702
Multiplication of 2 digit nos near to base step4

Lets use the Vedic math shortcut for another example, 95 x 98
Step 1:Both the numbers are nearest to 100. Subtract the values from the nearest base value 100.
95 -5(subtract 95 from the base value 100)
98 -2(subtract 98 from the base value 100)
Step 2: crosswise subtract the values.
95 - 5
98 - 2

= 95 - 2 and 98 - 5
= 93
Step 3: Do the vertical multiplication between 5 and 2, 5 x 2 = 10.
Step 4: Combine the results of Step2 with Step3.
95 x 98 = 9310.


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