find the value of 98×102 without actual multiplication
Answers
Answered by
3
9180 is the actual multiplication value
Answered by
4
Hey there! ☺☻☺
Given,
98 × 102
We can write them as (100-2) × (100+2)
We know,
(a-b) (a+b) = a² - b²
⇒ (100 - 2) (100 + 2)
⇒ (100)² - 2²
⇒ 10000 - 4
⇒ 9996 (←Answer)
Similar questions
We can write 98 as (100 - 2) & 102 as (100+2)
Here, Let a = 100 & b = 2
98 × 102
= (100 - 2) (100 + 2)
= (100)² - (2)²
[ By using the identity (a+b) (a - b) = a² - b² ]
= 10000 - 4
= 9996