Question

express 3 × 10‐ ⁸ in usual form​

Answer 1

0.000000003.

$\huge\tt\red{ | Question:-| \gamma }$

$Express \: 3 × 10^{ - 8} \: in \: usual \: form.$

$\huge\tt\blue{Solution:-}$

Given, $\underline{{3}\mathrm{\times}{\mathrm{10}}^{\mathrm{{-}}{8}}}$

We need to find the usual form of the above expression.

To evaluate this value we should follow the law of exponent.

$As, \: {a}^{ - n} = \frac{1}{ {a}^{n}} \: and \: \frac{1}{ {b}^{ - n} } = {b}^{n}$

$Expression \: 3 \times {10}^{ - 8 } \: consist \: of \: one \: term \: as \: {10}^{ - 8} , \: so \:$

It can be written as,

${10}^{ - 8} = \frac{1}{ {10}^{ 8} } , \: here \: {10}^{8} \: means \: , \: there \: will \: be \: \\ eight \: zero \: after \: 1 \: , \: i.e., \: \frac{1}{ {10}^{8} } = \frac{1}{100000000}$

Now we have to simplify the expression $\underline{{3}\mathrm{\times}{\mathrm{10}}^{\mathrm{{-}}{8}}}$

as follows,

$3 \times {10}^{ - 8} =3 \times \frac{1}{100000000}$

We need to absorve one thing here as there are eight zeroes after one, therefore 3 by 100000000, there will be eight zero ahead of eight three.

$3 \times {10}^{ - 8} = 3 \times \frac{1}{100000000} = 0.000000003.$

$Therefore \: , \: the \: usual \: form \: of \: 3 \times {10}^{ - 8} \: will \: be \\ 0.000000003. \: ans$

${}^{i \: hope \: its \: help \: you.}$