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Chapter 1: Problem 31

Three quantities, the results of measurements, are to be added. They are \(2.0600,3.163,\) and \(1.12 .\) What is their sum to the correct number of significant figures?

Short Answer

Expert verified
Answer: The sum of the three measurements is \(6.34\).

Step by step solution

01

Identify the number of decimal places in each measurement

In the given numbers: - \(2.0600\) has 4 decimal places - \(3.163\) has 3 decimal places - \(1.12\) has 2 decimal places In our final answer, it should have the least number of decimal places, which is 2 in this case.
02

Add the numbers

Add the three given numbers: \(2.0600 + 3.163 + 1.12 = 6.343\)
03

Round to the correct number of significant figures

Our final answer should have the least number of decimal places, which is 2. After rounding \(6.343\), we get: \(6.34\) Thus, the sum of the three measurements with the correct number of significant figures is \(6.34\).

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