Question

The approximate value of $\frac{(3.03{)}^3}{27}$

• A. $1.03$
• B. $1.01$
• C. $3.03$
• D. $3.01$

Answer 1

The correct option is A $1.03$

We know that ${(1+x)}^n\approx 1+nx$ when $\left|x\right|<1$,

$⟹\frac{{(3+0.03)}^3}{27}=\frac{27{(1+\frac{0.03}{3})}^3}{27}⟹{(1+\frac{0.03}{3})}^3\approx 1+0.03=1.03$