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Q: Why must the number of significant figures in the result be limited?
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How does conversion factors affect the number of significant figures in a problem?

If the conversion factor is exact, then the number of significant figures in the answer is the same as the number of significant figures in the original number.If the conversion factor is an approximation, then the number of significant figures in the result is the lesser of this number and the number of significant figures in the original number.


What number do you get when rounding the number 000721004 to three significant figures?

721000 is the result.


Rules in determining significant figures in four fundamental operations?

The simple rule is: no more significant figures than the least accurate of the values in the computation. For multiplication and division, the result should have as many significant figures as the measured number with the smallest number of significant figures. For addition and subtraction, the result should have as many decimal places as the measured number with the smallest number of decimal places. (Rounding off can be tricky, but that would be another thread)


In adding the measurements 11.074 m 18.2 m and 16.943 m what should be the number of significant figures in the result?

Three significant figures: two before the decimal point and one after.


When numbers are divided or multiplied the calculated result is rounded off to the same number or significant figures present in the factor with the least number of significant figures?

Yes. That's a step you should usually include, to avoid the result from looking more accurate than it actually is.

Related questions

When multiplying and dividing measured quantities the number of significant figures in the result should be equal to the number of significant figures in what?

The number of significant figures should be equal to the significant figures in the least precise measurement.


How does conversion factors affect the number of significant figures in a problem?

If the conversion factor is exact, then the number of significant figures in the answer is the same as the number of significant figures in the original number.If the conversion factor is an approximation, then the number of significant figures in the result is the lesser of this number and the number of significant figures in the original number.


When blank two numbers the result should have the same number of significant figures as the factor with the smaller number of significant figures?

multiplying


In adding the measurements 11.074m 18.2m and 16.943m what should be the number of significant figures in the result?

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


What is the significant figures 4.884 x 2.25?

4.884 has four significant figures and 2.25 has three significant figures. 4.884 x 2.25 = 10.989 = 11.0 rounded to three significant figures. When multiplying or dividing, the result must have the same number of significant figures as the number in the problem with the fewest significant figures.


What number do you get when rounding the number 000721004 to three significant figures?

721000 is the result.


When 64.4 is divided by 2.00 what is the correct number of significant figures in the result?

32.2


What appropriate number of significant figures to be used in expressing the result of 51.6x3.1416 is?

J


Rules in determining significant figures in four fundamental operations?

The simple rule is: no more significant figures than the least accurate of the values in the computation. For multiplication and division, the result should have as many significant figures as the measured number with the smallest number of significant figures. For addition and subtraction, the result should have as many decimal places as the measured number with the smallest number of decimal places. (Rounding off can be tricky, but that would be another thread)


When multiplying and diving measured quantities the number of significant figures in the result should be equal to the number of significant figures in?

The final answer.is only as accurate as the least accurate component in the calculation, so use the significant figures of the measurement with the fewest.


What is the result of the following calculation using the correct number of significant figures in the answer?

It might have been possible to answer the question if the "following" multiplication had followed. But since you did not bother to make sure that it did, I cannot provide a more useful answer.


When multiplying or dividing two numbers how many significant figures should there be in the answer?

The basic idea is that the final result should not be - or rather, appear to be - more accurate than the original numbers. Therefore, the final result should not have more significant digits than the original numbers you multiply or divide. For example, if one factor has 3 significant digits, and the other 5, round the final result to 3 significant digits.