Problem 106 - College Algebra Essentials

Question

Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. $$\frac{66,000 \times 0.001}{0.003 \times 0.002}$$

Step-by-Step Solution

Answer

The answer is \(1.1 \times 10^{10}\)

Step 1: Perform the multiplication

Firstly, multiply \(66000\) times \(0.001\) in the numerator, and \(0.003\) times \(0.002\) in the denominator. This leads us to \(\frac{66 \times 1}{0.000006}\)

Step 2: Perform the division

Thereafter, divide the result from the numerator by the result from the denominator. This will give us \(1.1 \times 10^{10}\)

Step 3: Express the answer in scientific notation with two decimal places

Though the answer \(1.1 \times 10^{10}\) is already in scientific notation, it does not need any rounding since it is already to one decimal place.