Decimal Places
Decimal Places - Related Videos
03:34
Uncertainty in Measurement: Significant Figures
0 Views •
2020
All the digits in a measurement, including the uncertain last digit, are called significant figures or significant digits. Note that zero may be a measured value; for example, if a scale that shows weight to the nearest pound reads “140,” then the 1 (hundreds), 4 (tens), and 0 (ones) are all significant (measured) values. A measurement result is properly reported when its significant digits accurately represent the certainty of the measurement process. Below are a set of rules to determine the...
04:34
Scientific Measurement and Lab Skills - Concepts
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2020
Two-Dimensional Graphs Some chemistry experiments take the form of directly changing one property of the system that you are studying otherwise known as the independent variable, like temperature, and measuring the effects on another property, otherwise known as the dependent variable, like volume. Once the data have been collected, the interaction between the two parameters must be quantified — or converted into a form that can be evaluated — and compared to other relationships.
12:45
Stereotaxic Surgery for Excitotoxic Lesion of Specific Brain Areas in the Adult Rat
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Cited by 22 •
2012
Targeted ablation of specific brain region(s) by infusion of an excitotoxin using stereotaxic coordinates is described. This technique could also be adapted for infusion of other chemicals into the rat brain.
11:26
Assessing Cerebral Autoregulation via Oscillatory Lower Body Negative Pressure and Projection Pursuit Regression
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Cited by 7 •
2014
Cerebral perfusion is maintained across a range of pressures via cerebral autoregulation. However, characterizing autoregulation requires prominent pressure fluctuations at regulated frequencies. The described protocol will show how oscillatory lower body negative pressure can generate pressure fluctuations to provide data for projection pursuit regression for quantification of the autoregulatory curve.
09:30
Introducing an Angle Adjustable Cutting Box for Analyzing Slice Shear Force in Meat
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Cited by 2 •
2013
Slice shear force is a reference method for beef texture analysis. Using an angle adjustable cutting box could increase its accuracy for research purposes. The results from different locations within the longissimus muscle show a high correlation with Warner-Bratzler shear force methodology and high potential adaptability for different muscles.
FAQs
The last reported decimal place should correspond to the smallest change the measuring instrument can resolve. If the instrument cannot distinguish values beyond a particular position, adding more digits creates an impression of precision that the measurement does not support. This relationship helps readers judge the reliability of recorded lengths, times, masses, temperatures, and other physical quantities.
Different decimal places signal different reporting resolutions, so values may not carry equivalent precision. Before comparing or combining measurements, physicists consider whether the instruments and uncertainty ranges support that comparison. Reporting one result to more decimal places than another does not automatically make it more accurate, and extra digits should not be treated as additional experimental information.
Rounding determines which digits remain in a reported result after a calculation. Digits beyond the selected place are examined, and the retained value is adjusted according to the rounding rule being applied. Consistent rounding prevents calculated quantities from appearing more precise than the original measurements and supports clearer comparison between experimental results.
Decimal places count positions after the decimal point, whereas significant figures communicate the meaningful digits in a measured value, including relevant digits before and after the point. These systems describe precision in different ways. Physics calculations therefore require attention to both the displayed decimal position and the number of meaningful digits supported by the measurement.
Begin with the resolution of the instrument used to measure the quantity, then record only the digits that the instrument can support. The final reported digit should reflect the measurement limit and associated uncertainty. Applying this approach consistently to length, time, mass, or temperature produces data that can be compared and used in later calculations without overstating accuracy.
Decimal places should be reviewed after calculating a quantity from measured values because the result may contain more digits than the original data justify. The calculated value should be rounded so its reported precision remains consistent with the measurements and their uncertainties. This is especially important when derived quantities are used to interpret experiments or compare physical results.
Uncertainty analysis gives context to the final reported digit by indicating how much a measured or calculated value may vary. A value displayed with unsupported decimal places can suggest a narrower uncertainty than the experiment provides. Matching decimal reporting to uncertainty makes results easier to interpret, compare, and evaluate across measurements obtained under different conditions.
Using a consistent decimal-place convention makes differences between experimental values easier to interpret. It helps distinguish genuine variation from differences caused only by reporting format or instrument resolution. In physics, this practice supports organized data tables, clearer comparisons among measurements, and more careful interpretation of whether observed differences are meaningful within the stated uncertainty.