Question

Find the value of $1.05\times 0.95$ using standard identity.

• A. $0.9985$
• B. $0.9975$
• C. $0.9875$
• D. $0.9995$

Answer 1

The correct option is B $0.9975$

Given, $1.05\times 0.95$

$=(1+0.05)(1-0.05)$.

We know, $(a+b)(a-b)=a^2-b^2$.

Then,

$1.05\times 0.95$

$=(1+0.05)(1-0.05)$

$=1^2-(0.05{)}^2$

$=1-0.0025$

$=0.9975$.

Therefore, option $B$ is correct.