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Vocabulary flashcards covering key terms from the lecture notes on measurements and significant figures.
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Measurement
The process of determining the size, amount, or extent of something (mass, volume, length, etc.).
Dimension
A measurable extent of something (such as length, mass, or volume) used to describe a quantity.
English system
Traditional units used in daily life in the United States (inches, feet, ounces, pounds, quarts, gallons).
Metric system
System of measurement used in science with base units such as meter, gram, and liter.
Base unit
The fundamental unit of a quantity in a measurement system (e.g., meter for length, gram for mass, liter for volume).
Meter
Base unit of length in the metric system; 1 m ≈ 1.09 yards.
Gram
Base unit of mass in the metric system.
Liter
Base unit of volume in the metric system.
Kilometer
1000 meters (prefix kilo = 10^3).
Millimeter
One-thousandth of a meter (10^-3 m).
Kilogram
1000 grams (prefix kilo = 10^3).
Milligram
One-thousandth of a gram (10^-3 g).
Kiloliter
1000 liters.
Milliliter
One-thousandth of a liter (10^-3 L).
Cubic centimeter (cm^3)
A volume unit equal to 1 mL; the volume of a cube 1 cm on each side.
Cubic centimeter (cc)
Abbreviation for cm^3; equivalent to 1 mL.
Milliliter (mL)
Volume unit equal to 1 cm^3; commonly used in labs.
1 cm^3 = 1 mL = 1 cc
Equivalent volumes: 1 cm^3 = 1 mL = 1 cc.
Giga
Prefix for 10^9 (one billion).
Mega
Prefix for 10^6 (one million).
Kilo
Prefix for 10^3 (one thousand).
Deci
Prefix for 10^-1 (one-tenth).
Centi
Prefix for 10^-2 (one-hundredth).
Milli
Prefix for 10^-3 (one-thousandth).
Micro
Prefix for 10^-6 (one-millionth).
Nano
Prefix for 10^-9 (one-billionth).
Pico
Prefix for 10^-12 (one-trillionth).
Significant figures
Digits known with certainty plus one uncertain digit; used to express precision.
Exact number
A number with no uncertainty in its value.
Uncertainty
Doubt about a measured value due to limitations of the measurement.
Accuracy
How close a measurement is to the true value.
Precision
How close repeated measurements are to each other.
Measurement error
Error arising from equipment, procedures, or human mistakes.
Graduated cylinder
Laboratory instrument used to measure liquid volume; precision depends on the instrument.
Scientific notation
Expressing numbers as a × 10^n with 1 ≤ a < 10.
Coefficient
The value in front of the ×10^n in scientific notation; reflects the significant figures.
Exponent
The power of 10 in scientific notation.
Least precise
In multiplication/division, the result cannot be more precise than the input with the fewest significant figures.
Decimal places
Digits to the right of the decimal point.
Addition/subtraction rule
The answer should have the same number of decimal places as the term with the fewest decimal places.
Multiplication/division rule
The answer should have as many significant figures as the input with the fewest sig figs.
Rounding
Process of reducing digits; depends on the first digit to be deleted.
1 L = 1.06 quarts
Conversion between liters and quarts.
1 m = 1.09 yards
Conversion between meters and yards.
First estimated digit
The first digit in a measurement that is not known exactly; the uncertain digit.