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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 number of significant figures in 0.00320 g?
Well, honey, the number of significant figures in 0.00320 g is four. Those zeros between the 3 and the 2 might look useless, but in this case, they're strutting their stuff and making the measurement more precise. So, don't go underestimating those zeros, darling.
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.
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.
How to multiply with significant figures?
To multiply with significant figures, multiply the numbers as usual and then round the answer to match the number of significant figures in the least precise number used in the calculation.
Is it true that an answer is as precise as the most precise measurement from which it was calculated?
Yes, the precision of an answer depends on the precision of the measurements used in the calculation. The number of significant figures in the answer should match the least number of significant figures in the measurements.
Are significant figures related to precision?
Yes, significant figures in a measurement represent the precision of the measurement. The more significant figures a measurement has, the more precise the measurement is considered to be. Significant figures help communicate the level of precision in a measured value.
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
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 measured quantity with the least number of significant figures. For example, if you multiply a quantity with 3 significant figures by a quantity with 2 significant figures, your result should have 2 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.
When multiplying or dividing measurements does the answer have the same number of significant figures as the measurement with the most significant figures?
No, when multiplying or dividing measurements, the answer should have the same number of significant figures as the measurement with the fewest significant figures. This rule ensures that the precision of the result reflects the least precise measurement used in the calculation. Therefore, the final answer should be rounded accordingly to maintain appropriate significant figures.
How do you put 20 in significant figures?
The number 20 can be expressed in significant figures depending on how precise you want it to be. If it is written as "20," it has one significant figure. If you want to indicate that both digits are significant, you can write it as "20." or "2.0 x 10^1," which shows two significant figures. The use of a decimal point or scientific notation clarifies the number of significant figures intended.
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).
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.
