Q53. - Algebra 2

Question

Evaluate  $\frac{9.3\times {10}^7}{1.5\times {10}^{-3}}$. Express the result in scientific notation.

Step-by-Step Solution

Answer

The scientific notation of the given number is $6.2\times {10}^{10}$ .

Step 1. Write down the given expression.

The given number is $\frac{9.3\times {10}^7}{1.5\times {10}^{-3}}$ .

Step 2. Expressing the given number in scientific notation.

The number $\frac{9.3\times {10}^7}{1.5\times {10}^{-3}}$  in scientific notation is expressed as:

$\begin{array}{c}\frac{9.3\times {10}^7}{1.5\times {10}^{-3}}=\frac{9.3}{1.5}\times \frac{{10}^7}{{10}^{-3}}\\ =6.2\times {\left(10\right)}^{10}\\ =6.2\times {10}^{10}\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is $6.2\times {10}^{10}$ .