Q51. - Algebra 2

Question

Evaluate $(3.01\times {10}^{-2})(2\times {10}^{-3})$ . Express the result in scientific notation.

Step-by-Step Solution

Answer

The scientific notation of the given number is $6.02\times {10}^{-5}$ .

Step 1. Write down the given expression.

The given number is$(3.01\times {10}^{-2})(2\times {10}^{-3})$  .

Step 2. Expressing the given number in scientific notation.

The number$(3.01\times {10}^{-2})(2\times {10}^{-3})$   in scientific notation is expressed as:$\begin{array}{c}(3.01\times {10}^{-2})(2\times {10}^{-3})=(3.01\times 2)({10}^{-2}\times {10}^{-3})\\ =6.02\times {\left(10\right)}^{-5}\\ =6.02\times {10}^{-5}\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is $6.02\times {10}^{-5}$ .