Evaluate the following products without actual multiplication 101 99

Asked by admin @ 20/08/2021 in Math viewed by 289 People

101*99, Evaluate the given product without actual multiplication.

Answered by admin @ 20/08/2021

Answer:

The product is $101\times 99=9999$

Step-by-step explanation:

Given : Expression $101\times 99$

To find : Evaluate the given product without actual multiplication ?

Solution :

We can write product as,

$101\times 99=(100+1)\times (100-1)$

We know, $(a+b)(a-b)=a^2-b^2$

$101\times 99=(100+1)(100-1)$ here a=100 , b=1

$101\times 99=(100)^2-(1)^2$

$101\times 99=10000-1$

$101\times 99=9999$

Therefore, The product is $101\times 99=9999$

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