Q45. - Algebra 2

Question

Express the number $43,200$  in scientific notation.

Step-by-Step Solution

Answer

The scientific notation of the given number is $\mathbf{4}\mathbf{.}\mathbf{32}\mathbf{\times }{\mathbf{10}}^4$ .

Step 1. Write down the given expression.

The given number is$43200$  .

Step 2. Expressing the given number in scientific notation.

The number $43200$  in scientific notation is expressed as:

$\begin{array}{c}43200=432\times 100\\ =432\times {\left(10\right)}^2\\ =\frac{432\times {\left(10\right)}^2\times {\left(10\right)}^2}{{\left(10\right)}^2}\mathrm{....}\left(\begin{array}{l}\text{Multiply and }\\ \text{divide by }{\left(10\right)}^2\end{array}\right)\\ =\frac{432}{{\left(10\right)}^2}\times \frac{{\left(10\right)}^2\times {\left(10\right)}^2}{1}\\ =4.32\times {10}^4\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is $4.32\times {10}^4$ .