Question

In each of the following express in standard form

$384000$ km, approximate distance of moon from earth.

Answer 1

Given number : $384000$ km approximate distance of moon from earth.

A number in standard form is written as $\mathrm{a}\times {10}^{\mathrm{k}}$, where a is a terminating decimal such that $1\le \mathrm{a}<10$ and $\mathrm{k}$ is any integer.

Now,

$$\begin{gathered} 384000=384000\times \frac{{10}^5}{{10}^5} \\ =3.84\times {10}^5 \end{gathered}$$

Hence, distance of moon from earth in standard form is $3.84\times {10}^5$km.