Questions: Question 9 10 Points Reporting your answer with the correct number of significant digits, what is 0.010 × 0.00200? Please enter your answer in scientific notation. An example of the way to enter answers in scientific notation is: To enter the value 0.0036, enter 3.6 E-3 OR 3.6 e-3. Blank 1 Blank 1 2E-5

Solution Steps

To solve the problem of multiplying two numbers and reporting the answer in scientific notation with the correct number of significant digits, follow these steps:

1. Multiply the two given numbers.
2. Determine the number of significant digits in the result based on the input numbers.
3. Convert the result to scientific notation.

To find the product of \(0.010\) and \(0.00200\), we perform the multiplication: \[ 0.010 \times 0.00200 = 0.000020 \]

The number \(0.010\) has 2 significant digits, and \(0.00200\) has 3 significant digits. The result should be reported with the lesser number of significant digits, which is 2.

We convert \(0.000020\) to scientific notation with 2 significant digits: \[ 0.000020 = 2.0 \times 10^{-5} \]

Final Answer