Question

Find the value of102×97 by using approximate value identity​

Answer 1

Answer:

using the identity:

(x+a)×(x+b)=x^2+(a+b)x+a×b

Here,

let x=100, a=2, b=3

so applying the identity,

(100+2)×(100-3)

=(100)^2 +{2+(-3)}×100 +2×(-3)

=10000+{2-3}×100-6

=10000-100-6

=9900-6

=9894.