Q48. - Algebra 2

Question

Express the number $502,020,000$  in scientific notation.

Step-by-Step Solution

Answer

The scientific notation of the given number is $\mathbf{5}\mathbf{.}\mathbf{0202}\mathbf{\times }{\mathbf{10}}^8$ .

Step 1. Write down the given expression.

The given number is $502,020,000$ .

Step 2. Expressing the given number in scientific notation.

The number $502,020,000$  in scientific notation is expressed as:

$\begin{array}{c}502,020,000=50202\times {\left(10\right)}^4\\ =\frac{50202\times {\left(10\right)}^4\times {\left(10\right)}^4}{{\left(10\right)}^4}\mathrm{....}\left(\begin{array}{l}\text{Multiply and }\\ \text{divide by }{\left(10\right)}^4\end{array}\right)\\ =\frac{50202}{{\left(10\right)}^4}\times \frac{{\left(10\right)}^4\times {\left(10\right)}^4}{1}\\ =5.0202\times {10}^8\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is$5.0202\times {10}^8$  .