Q49. - Algebra 2

Question

Express the number  $675,400,000$ in scientific notation.

Step-by-Step Solution

Answer

The scientific notation of the given number is $\mathbf{6}\mathbf{.}\mathbf{754}\mathbf{\times }{\mathbf{10}}^8$  .

Step 1. Write down the given expression.

The given number is $675,400,000$ .

Step 2. Expressing the given number in scientific notation.

The number $675,400,000$  in scientific notation is expressed as:

$\begin{array}{c}675,400,000=6754\times {\left(10\right)}^5\\ =\frac{6754\times {\left(10\right)}^5\times {\left(10\right)}^3}{{\left(10\right)}^3}\mathrm{....}\left(\begin{array}{l}\text{Multiply and }\\ \text{divide by }{\left(10\right)}^3\end{array}\right)\\ =\frac{6754}{{\left(10\right)}^3}\times \frac{{\left(10\right)}^5\times {\left(10\right)}^3}{1}\\ =6.754\times {10}^8\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is $6.754\times {10}^8$ .