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Matter
Anything with mass + volume
Element
Pure substance; one type of atom
Compound
Pure substance; 2+ elements chemically bonded
Homogeneous mixture
Uniform throughout
Heterogeneous mixture
Non-uniform
Evaporation
Separates dissolved solid from liquid
Distillation
Separates liquids by boiling points
Filtration
Separates solid from liquid
Chromatography
Separates substances by movement/attraction
Physical change
Identity stays the same
Chemical change
New substance forms
Qualitative
Describes; no numbers
Quantitative
Uses numbers/measurements
Measurement
Number + unit
Accuracy
Closeness to true value
Precision
Repeatability/consistency
Systematic error
Consistent error; minimize by calibration
Random error
Unpredictable variation; repeat/average
Significant figures
Meaningful digits in a measurement
×/÷ sig figs
Fewest sig figs
+/− sig figs
Fewest decimal places
Nonzero digits
Always significant
Middle zeros
Always significant
Leading zeros
Never significant
Ending zeros + decimal
Significant
Ending zeros, no decimal
Not significant
Exact number
No measurement uncertainty
Inexact number
Measured; has uncertainty
Uncertainty
Estimated/uncertain last digit
Scientific notation
a × 10ⁿ; 1 ≤ a < 10
Mega
M = 10⁶
Kilo
k = 10³
Hecto
h = 10²
Deka
da = 10¹
Base
10⁰
Deci
d = 10⁻¹
Centi
c = 10⁻²
Milli
m = 10⁻³
Micro
μ = 10⁻⁶
Nano
n = 10⁻⁹
Pico
p = 10⁻¹²
SI length
meter (m)
SI mass
kilogram (kg)
SI time
second (s)
SI temperature
kelvin (K)
Amount
mole (mol)
Energy
joule (J)
Volume
liter (L)
1 in
2.54 cm
1 cm³
1 mL
1 kg
2.20 lb
Dimensional analysis
Convert by canceling units
Conversion factor
Equivalent ratio = 1
Δ
Final − initial
Density
mass ÷ volume
Density formula
D = m/V
Mass formula
m = D×V
Volume formula
V = m/D
Solid density
g/cm³
Liquid density
g/mL
Gas density
g/L
Water displacement
Final volume − initial volume
Thermometer
Measures temperature
Temperature
Related to average kinetic energy
Freezing water
0°C = 273.15 K = 32°F
Boiling water
100°C = 373.15 K = 212°F
Absolute zero
0 K = −273.15°C
K from °C
K = °C + 273.15
°C from K
°C = K − 273.15
°F from °C
°F = 9/5(°C) + 32
°C from °F
°C = 5/9(°F − 32)
Independent variable
Changed/manipulated
Dependent variable
Measured/responding
Graph x-axis
Independent variable
Graph y-axis
Dependent variable