Q46. - Algebra 2

Question

Express the number $0.0001843$  in scientific notation.

Step-by-Step Solution

Answer

The scientific notation of the given number is $\mathbf{1}\mathbf{.}\mathbf{843}\mathbf{\times }{\mathbf{10}}^{-\mathbf{4}}$ .

Step 1. Write down the given expression.

The given number is $0.0001843$  .

Step 2. Expressing the given number in scientific notation.

The number $0.0001843$  in scientific notation is expressed as:

$\begin{array}{c}0.0001843=\frac{1843}{{\left(10\right)}^7}\\ =1843\times {\left(10\right)}^{-7}\\ =\frac{1843\times {\left(10\right)}^{-7}\times {\left(10\right)}^3}{{\left(10\right)}^3}\mathrm{....}\left(\begin{array}{l}\text{Multiply and }\\ \text{divide by }{\left(10\right)}^3\end{array}\right)\\ =\frac{1843}{{\left(10\right)}^3}\times \frac{{\left(10\right)}^{-7}\times {\left(10\right)}^3}{1}\\ =1.843\times {10}^{-4}\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is $1.843\times {10}^{-4}$  .