Q47. - Algebra 2

Question

Express the number $0.006810$  in scientific notation.

Step-by-Step Solution

Answer

The scientific notation of the given number is $\mathbf{6}\mathbf{.}\mathbf{81}\mathbf{\times }{\mathbf{10}}^{-\mathbf{3}}$ .

Step 1. Write down the given expression.

The given number is $0.006810$ .

Step 2. Expressing the given number in scientific notation.

The number$0.006810$   in scientific notation is expressed as:

$\begin{array}{c}0.006810=\frac{6810}{{\left(10\right)}^6}\\ =6810\times {\left(10\right)}^{-6}\\ =\frac{6810\times {\left(10\right)}^{-6}\times {\left(10\right)}^3}{{\left(10\right)}^3}\mathrm{....}\left(\begin{array}{l}\text{Multiply and }\\ \text{divide by }{\left(10\right)}^3\end{array}\right)\\ =\frac{6810}{{\left(10\right)}^3}\times \frac{{\left(10\right)}^{-6}\times {\left(10\right)}^3}{1}\\ =6.81\times {10}^{-3}\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is $6.81\times {10}^{-3}$ .