Find the value of 98×102 without actual multiplication
reddi625sahu:
(100 +2 ) (100 -2)
102 98
Let 98 be(100-2)and 102 be (100+2)
Yes
Use identity (a+b)(a-b)=a²-b²
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Answers
Answered by
194
GIVEN :
98 × 102
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
Hence, the value of 98 × 102 without actual multiplication is 9996.
HOPE THIS WILL HELP YOU...
98 × 102
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
Hence, the value of 98 × 102 without actual multiplication is 9996.
HOPE THIS WILL HELP YOU...
Answered by
72
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
Hence, the required answer is 9996.
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
Hence, the required answer is 9996.
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