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The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

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Q: How do you decide the number of significant digits to report?
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Related questions

How many decimal places would you report the following number in considering significant digits?

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.


Significant digits are the number of digits that reflect the precision of a measurement or number?

Not necessarily. I measure my height to 3 sig figs (for example 178 cm), but I may choose to report is as 180 cm (to 2 sf).


How do you use significant digits to determine how to report a sum or product of two measurements?

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.


If you multiplied 6774m by 46m how many significant figures should you report in your answer?

You should report your answer to three significant figures because 6774m has four significant figures and 46m has two significant figures, so the least number of significant figures between the two numbers determines the number of significant figures in the product.


Do you always report all measurements to the same number of significant digits?

No, the answer depends onthe number of significant digits in the numbers used for the measurement,the importance of the measurement in the calculations to follow.For example, the volume of a right cylinder is pi*r2*h. It is much more important to get r accurate than it is to get h. A 5% error in r will result in a 10.25% error in the volume whereas a 5% error in h will result in a 5% error in the volume.


Why do we sometimes add a zero to a number in a calculator display?

to report an answer with the correct number of significant figures, you may need to write significant zeros after the calculator number.


What is the frequency of a photon with a wavelength of 781 nm Report your answers to three significant digits?

The frequency of a photon with a wavelength of 781 nm is approximately 384 THz (terahertz).


What is 2.072 to two significant figures?

To find a number to two significant figures or any amount of significant figures you look at one plus the amount of asked figures, in this case the third significant figure, and if it is 5 or greater increase the asked amount of significant figures by one. If it is 4 or less make no changes to your number. Finally report the calculated number with the asked amount of significant figures.


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