Q44. - Algebra 2

Question

Express the number $462.3$  in scientific notation.

Step-by-Step Solution

Answer

The scientific notation of the given number is $\mathbf{4}\mathbf{.}\mathbf{623}\mathbf{\times }{\mathbf{10}}^2$ .

Step 1. Write down the given expression.

The given number is $462.3$ .

Step 2. Expressing the given number in scientific notation.

The number $462.3$  in scientific notation is expressed as:

$\begin{array}{c}462.3=\frac{4623}{\left(10\right)}\\ =4623\times {\left(10\right)}^{-1}\\ =\frac{4623\times {\left(10\right)}^{-1}\times {\left(10\right)}^3}{{\left(10\right)}^3}\mathrm{....}\left(\begin{array}{l}\text{Multiply and }\\ \text{divide by }{\left(10\right)}^3\end{array}\right)\\ =\frac{4623}{{\left(10\right)}^3}\times \frac{{\left(10\right)}^{-1}\times {\left(10\right)}^3}{1}\\ =4.623\times {10}^2\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is$4.623\times {10}^2$  .