Question

evaluate the following products without multiplying directly: (1). 101×99. (2) 1.1×1.1​

Answer 1

Answer:

1. 101×99

Ans - (100+1)×(100-1)

(100^2-1^2)

(10000-1)

9999

Answer 2

Answer:

101 can be written as (100+1)

99 can be written as (100-1)

${a}^{2} - {b}^{2} = (a + b) \times(a - b)$

Therefore (100)

$( {100}^{2} ) - ({1}^{2} )$

10000-1

9999