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Chapter 2: Problem 34

How many significant figures does the answer to \(\left(1.36 \times 10^{-5}\right) \times\left(5.02 \times 10^{-2}\right)\) have?

Short Answer

Expert verified
The answer has three significant figures

Step by step solution

01

Identify Significant Figures

The first number \(1.36 \times 10^{-5}\) has three significant figures and the second number \(5.02 \times10^{-2}\) also has three significant figures.
02

Multiplication

Multiply the two numbers together. The multiplication of \(1.36 \times 10^{-5}\) and \(5.02 \times10^{-2}\) gives \(6.8232 \times 10^{-7}\).
03

Apply the Rules of Significant Figures

The number \(6.8232 \times 10^{-7}\) may have five significant figures but since the smallest number of significant figures in the numbers we are multiplying is three, we must round our answer to have three significant figures. So, \(6.8232 \times 10^{-7}\) rounds to \(6.82 \times 10^{-7}\)

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Most popular questions from this chapter

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