Question

Express $3.02\times {10}^{-6}$ in the usual form.

Answer 1

Define the exponent and state the given data

Exponent: The representation of the number of times a number is multiplied by itself, is called the exponent form of the product of these numbers.

Law of Exponents: $a^{-m}=\frac{1}{a^m}$

The given expression is $3.02\times {10}^{-6}$.

Now, Simplify the given expression

The given expression can be simplified as,

$3.02\times {10}^{-6}=3.02\times \frac{1}{{10}^6}$ $\left[\because a^{-m}=\frac{1}{a^m}\right]$

$\Rightarrow 3.02\times {10}^{-6}=\frac{3.02}{{10}^6}$

$\Rightarrow 3.02\times {10}^{-6}=\frac{3.02}{1000000}$

$\Rightarrow 3.02\times {10}^{-6}=0.00000302$

Hence, the usual form of $\mathbf{3}\mathbf{.}\mathbf{02}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{6}}$ is $\mathbf{0}\mathbf{.}\mathbf{00000302}$ .