Q50. - Algebra 2

Question

Evaluate $(4.15\times {10}^3)(3.0\times {10}^6)$ . Express the result in scientific notation.

Step-by-Step Solution

Answer

The scientific notation of the given number is  $1.245\times {10}^{10}$.

Step 1. Write down the given expression.

The given number is $(4.15\times {10}^3)(3.0\times {10}^6)$ .

Step 2. Expressing the given number in scientific notation.

The number $(4.15\times {10}^3)(3.0\times {10}^6)$  in scientific notation is expressed as:

$\begin{array}{c}(4.15\times {10}^3)(3.0\times {10}^6)=(4.15\times 3.0)({10}^3\times {10}^6)\\ =12.45\times {\left(10\right)}^9\\ =12.45\times {10}^9\times \frac{10}{10}\mathrm{....}\left(\begin{array}{l}\text{Multiply and}\\ \text{divide by }10\end{array}\right)\\ =1.245\times {10}^{10}\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is $1.245\times {10}^{10}$ .