Question

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

Answer 1

101*99
without multiplication
101 can be written as 100+1 and 99 as 100-1
(100+1)square(100-1)square
(a+b)(a-b) =a - b
100square - 1square
=1000-1
=9999

Answer 2

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 $101\times 99=9999$