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According to the rules of significant figures 4.57 plus 6.3 equals 10.9 This is because the least precise value in the problem is 6.3 which is precise only to the tenths digit so the answer must a?
Lizzieboomboom
But according to the rules of significant figures, the least number of significant figures in any number of the problem determines the number of significant figures in the answer which, in this case, would be 11.
Wiki User
∙ 7y ago
Wiki User
∙ 13y ago... So the answer should also be rounded to the tenths digit.
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According to the rules of significant figures 7.8987 plus 5.23 equals 13.13 This is because the least precise value in the problem is 5.23 which is precise only to the hundredths digit so the answe?
true
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.
Which distance measurement is the most precise 124 meters 26.3 miles 30 centimeters or 92.56 kilometers?
In terms of accuracy of digits: 124 has 3 significant figures 26.3 has 3 significant figures 30 has 1 (or 2) significant figure(s)* 92.56 has 4 significant figures Thus 92.56 km is the most precise (having the most significant digits). In terms of the distance measured: 124 m is accurate to ± 50 cm 26.3 miles is accurate to (approx) ± 8047 cm 30 cm is accurate to ± 5 cm or ± 0.5 cm* 92.56 km is accurate to ± 500 cm Thus 30 cm is the most precise (having the least range of distances that round to it) * Depends if it has been rounded to the nearest 10 (30 ± 5) or 1 (30 ± 0.5)
What is the following expression 77.94 - 5.8 plus 201.681 simplified using the rules of significant figures?
Do the calculations, then round to one decimal digit, since the least precise of the numbers involved has one decimal digit.
Is 2.20 the same as 2.2?
Numerically, yes. 2.20=2.2 is a mathematically true statement. But 2.20 has more significant figures, so it is more precise. This means that if you use it in calculations, you can use more of the resulting digits.
According to the rules of significant figures 7.8987 plus 5.23 equals 13.13 This is because the least precise value in the problem is 5.23 which is precise only to the hundredths digit so the answe?
true
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.
Is 5011 meters more precise than 5 kilometers?
yes, because if it was in km it would be 5.011km, which has more significant figures
Why significant figures represent the precision of a measurement and not its accuracy.?
A measurement that has a larger number of significant figures has a greater reproducibility, or precision because it has a smaller source of error in the estimated digit. A value with a greater number of significant figures is not necessarily more accurate than a measured value with less significant figures, only more precise. For example, a measured value of 1.5422 m was obtained using a more precise measuring tool, while a value of 1.2 m was obtained using a less precise measuring tool. If the actual value of the measured object was 1.19 m, the measurement obtained from the less precise measuring tool would be more accurate.
Which of the following temperatures is most precise 75 degrees 980 degrees 30 degress 45.5 degress?
45.5 degrees would be the most precise, since it has 3 significant figures. All the other values have only 2 significant figures, including 980 (the final zero is NOT significant), or 1 significant figure (30 degrees).
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.
Why when you make measurements should the answer only have the same number of significant figures as the measurement with the fewest significant figures?
This is because the uncertainty in your answer is determined by the least precise measurement. It's no use expecting your answer to be known to 4 decimal places if you are only measuring to the nearest whole mile.
Explain why significant figures represent the precision of a measurement and not its accuracy?
A measurement that has a larger number of significant figures has a greater reproducibility, or precision because it has a smaller source of error in the estimated digit. A value with a greater number of significant figures is not necessarily more accurate than a measured value with less significant figures, only more precise. For example, a measured value of 1.5422 m was obtained using a more precise measuring tool, while a value of 1.2 m was obtained using a less precise measuring tool. If the actual value of the measured object was 1.19 m, the measurement obtained from the less precise measuring tool would be more accurate.
Is 8.8lbs the same as 8.80lbs?
Yes and no, depending on how precise you want to be. 8.80 has THREE significant figures, meaning it was measured to the hundredth place. 8.8 has TWO significant figures, meaning it was measured only to the tenth place.
Using proper signification figures what is the answer to the problem 55.0 m s 3.027 s?
It isn't clear what the question is. If you are supposed to multiply or divide, and if by "signification figures" you mean significant digits, do the multiplication (or division), then round to three significant digits - since the least-precise of the numbers only has three significant digits.
How many significant figures are found in the value 5.5550x10?
Trailing zeros after a decimal point should be significant digits; otherwise, there would be no reason to write them. By this rule, the given number has five significant digits.Additional answerIt is incorrect to put trailing zeros after the decimal digits because they have no meaning. Therefore there are four significant figures both before and after the multiplication by 10. That multiplication merely shifts the decimal point one place to the right without altering the number of significant figures.Please the following except from Wikipedia: Trailing zeros in a number containing a decimal point are significant. For example, 12.2300 has six significant figures: 1, 2, 2, 3, 0 and 0. The number 0.000122300 still has only six significant figures (the zeros before the 1 are not significant). In addition, 120.00 has five significant figures since it has three trailing zeros. This convention clarifies the precision of such numbers; for example, if a measurement precise to four decimal places (0.0001) is given as 12.23 then it might be understood that only two decimal places of precision are available. Stating the result as 12.2300 makes clear that it is precise to four decimal places (in this case, six significant figures).
Why can't we write numbers with as many significant figures as we want?
Because some part of your equation has a figure that limits how many sig figs you can use. Remember the number of sig figs is symbolic of how precise the initial measurements were. For example the number 2.4 is not as precise as 2.45298. So your answer can only be as precise as the LEAST precise measurement you have taken or been given. So in my example above if 2.4 is the least precise measurement then you can only have an answer with two sig figs.
