## HOW TO PERFORM MULTIPLICATION OF TWO NUMBERS BY SHORT CUT MATHS TRICKS

Today we are going to learn shortest method of multiplication for two numbers which are very close to 100 ,which can save our time in competitive exams .

98×96 = (98-4)(2×4) = (94)(08) = 9408 (Only in mind )

Step 1

Consider both the numbers as Num 1 = 98 and Num2 = 96.

Subtract Num 1 from 100 and write its Result 1 as one place .

Also Subtract Num 2 from 100 and write its as Result 2 second place .

Result 2 = 100 - 96 = 4

Now multiply the results so obtained and mark it as Stepresult1. Stepresult1 = 4*2 = 8 = 08

**Step 2**

Subtract the result of Result 1 (blue Answer) from Num 2 i. e.(96 ).

Here we haveStepresult2 = 96-2= 94

Final Answer = (Ist two digits are Stepresult2)(2nd two digits are Stepresult1)

= 9408

The result so obtained i. e. 9408 is the answer of product of two numbers

Let us do one more example in fast way

Another Example

92 * 91 = ?

#### Step 1

Last two digits of the answer = (100-**92**)(100-91)

= 8* 9 = 72

### Step 2

1st two digits of the answer = (Greater number as Red highlighted in last step - Smaller number in last step Blue highlighted = 92 - 9 = 83Final Answer = (Answer of Step 1)(Answer of Step 2) = 8372

## Example 89 * 92 = (92-11)(11*8)=8188

Let us discuss step by step the process of multiplying these two numbers quickly

**Step 1**

Split Both the numbers in such a way that one the term must be 100 and other be 100-1st number. i. e. 89 will be written as 100-11 and 92 will be written as 100-8

### Step 2

Now select either of the given number (suppose 92 ) and subtract the number ( other than 100 ) which is in other factor in previous step i. e. 11.### Step 3

The difference of 92-11 will the 1st two digits of our answer and product of other two digits are the 3rd and 4th digits of the answer.##
**One more Example**

88×93 = (Answer of Step 1)(Answer of Step 2)

= (93-12) [(100-88) ×(100-93)]

= (93-12)[12×7]

= (81)(84)

=8184

94×84 = (As 94 is 6 less than 100)(As 84 is 16 less than 100)

= (subtract 16 from 94)(Multiply 6 with 16)

= (94-16 gives 1st two digits of product) (96 will be last two digits of product)

**Final answer = 7896**

**You can also learn it as**

93 × 87 = (Greater number - How much second number closer to 100 ) ( (100-93)(100-87))

93 × 87 = (93-13)(7×13)

93×87 = 8091

## Conclusion

This method was to multiply two numbers using a shortcut . Thanks for spending your precious time to read this post ,If you liked this post . Please share it with your friends and also follow me on my blog to encourage me to do better than best for multiplication, multiplication tricks and

vedic maths tricks .See your in next post, till then Bye.....

vedic maths tricks .See your in next post, till then Bye.....

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