Q15. - Algebra 2

Question

Evaluate $(3.42\times {10}^8)(1.1\times {10}^{-5})$ . Express the result in scientific notation.

Step-by-Step Solution

Answer

The scientific notation of the given number is $3.762\times {10}^3$ .

Step 1. Write down the given expression.

The given number is $(3.42\times {10}^8)(1.1\times {10}^{-5})$ .

Step 2. Expressing the given number in scientific notation.

The number $(3.42\times {10}^8)(1.1\times {10}^{-5})$  in scientific notation is expressed as:

$\begin{array}{c}(3.42\times {10}^8)(1.1\times {10}^{-5})=(3.42\times 1.1)({10}^8\times {10}^{-5})\\ =3.762\times {\left(10\right)}^3\\ =3.762\times {10}^3\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is  $3.762\times {10}^3$.