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Measurement
The determination of the dimensions, capacity, quantity, or extent of something
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Most common types of measurement
Mass, volume, length, time, temperature, pressure, and concentration
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Exact number
A number that has a value with no uncertainty in it, that is, it is known exactly
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Inexact number
A number that has a value with a degree of uncertainty in it
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Precision
And indicator of how close a series of measurements on the same object are to each other
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Accuracy
An indicator of how close a measurement (or the average of multiple measurements) comes to a true or excepted value
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True value
The most accurate currently known value for a measured quantity
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Systematic error
A "constant" error associated with an experimental system itself
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Random error
Error caused by uncontrollable variables in an experiment
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Significant figures
The digits in any measurement that are known with certainty plus one digit that is uncertain
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Leading zeros
Zeros that occur at the start of a number, that is, zeros that precede all nonzero digits. Leading zeros are always to the left of the first nonzero digit and to the right of the decimal place. Leading zeros do not count as significant figures
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Confined zeros
Zeros between nonzero digits, such zeros always count as significant figures
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Trailing zeros
Zeros at the end of a number. They are only significant if (A)- there is a decimal point present in the number. (B)- they carry overbars. Otherwise trailing zeros are not significant
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Rounding off
The process of deleting unwanted or nonsignificant digits from a calculated number
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Scientific notation
A numerical system in which numbers are expressed in the form "A X 10n" where 'A' is a number with a single nonzero digit to the left of the decimal point and 'n' is a whole number. For example the scientific notation form of the number 703 is "7.03 X 10^2"
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Exponent
A number written as a superscript following another number and indicating how many times the first number, the base, is to be multiplied by itself
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Order of magnitude
A single exponential value of the number 10
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Assumptions for estimating significant figures
- When no other information aside the measurement is available standard operating procedure is to assume the largest of the uncertainties possible for the measurement.
- For example the measurement 5600 g has no decimal place shown therefore we can assume an estimate of plus or minus 100 grams
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Rounding off
The process of deleting unwanted or nonsignificant digits from a calculated number
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Odd/Even rule
If the first digit to be dropped is a five not followed by any other digit or a five followed only by 0s, drop the five and any zeros that follow it and then increased the last retained digit by one unit if it is odd or leave the last retained digit the same if it is even
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