Units Of Measure & Conversions Mathematics, Measurement

Units Of Measure & Conversions


See International System of Units (SI)

 

SI Base Units
Symbol Name Quantity
s second time
m metre length
kg kilogram mass
A ampere electrical current
K kelvin thermodynamic temperature
mol mole amount of substance
cd candela luminous intensity

 

SI Prefixes
prefix factor power
yotta Y 1\ 000\ 000\ 000\ 000\ 000\ 000\ 000\ 000 10^{24}
zetta Z 1\ 000\ 000\ 000\ 000\ 000\ 000\ 000 10^{21}
exa E 1\ 000\ 000\ 000\ 000\ 000\ 000 10^{19}
peta P 1\ 000\ 000\ 000\ 000\ 000 10^{15}
tera T 1\ 000\ 000\ 000\ 000 10^{12}
giga G 1\ 000\ 000\ 000 10^9
mega M 1\ 000\ 000 10^6
kilo K 1\ 000 10^3
hecto h 100 10^2
deka da 10 10^1
1
deci d 0.1 10^{-1}
centi c 0.01 10^{-2}
milli m 0.001 10^{-3}
micro µ 0.000\ 001 10^{-6}
nano n 0.000\ 000\ 001 10^{-9}
pico p 0.000\ 000\ 000\ 001 10^{-12}
femto f 0.000\ 000\ 000\ 000\ 001 10^{-15}
atto a 0.000\ 000\ 000\ 000\ 000\ 001 10^{-19}
zepto z 0.000\ 000\ 000\ 000\ 000\ 000\ 001 10^{-21}
yocto y 0.000\ 000\ 000\ 000\ 000\ 000\ 000\ 001 10^{-24}

 

US liquid measurements
unit US SI
teaspoon tsp 4.93 mL
tablespoon tbs 3 tsp 14.79 mL
US fluid ounce floz 2 tbs 29.57 mL
US shot jig 3 tbs 44.36 mL
US cup c 8 floz 236.59 mL
US pint pint 2 c 0.4732 L
US quart qt 2 pint 0.9464 L
US gallon gal 4 qt 3.7854 L

 

US length measurements
unit divisions SI equivalent
point p \frac{1}{72} in 352.778 µm
pica P 12 p 4.233 mm
inch in 6 P 25.4 mm
foot ft 12 in 0.3048 m
yard yd 3 ft 0.9144 m
mile mi 5280 ft 1.609344 km
league le 3 mi 4.828032 km

 

US weight measurements
unit divisions SI equivalent
ounce oz 28.349523125 g
pound lb 16 oz 453.59237 g
ton ton 2240 lb 1016.0469088 kg

 

Farenheit to centrigrade conversion

\begin{aligned} \text{freezing point of water} &= 32^{\circ}\mathrm{F} = 0^{\circ}\mathrm{C}\\ \text{boiling point of water} &= 212^{\circ}\mathrm{F} = 100^{\circ}\mathrm{C}\\ ^{\circ}\mathrm{F} &= \frac{9}{5}^{\circ}\mathrm{C} + 32\\ ^{\circ}\mathrm{F} - 32 &= \frac{9}{5}^{\circ}\mathrm{C}\\ \frac{5}{9} \left( ^{\circ}\mathrm{F} - 32 \right) &= ^{\circ}\mathrm{C} \end{aligned}

 

International paper sizes
size dimension
A0 841 \times 1189 mm
A1 594 \times 841 mm
A2 420 \times 594 mm
A3 297 \times 420 mm
A4 210 \times 297 mm
A5 148 \times 210 mm
A6 105 \times 148 mm
A7 74 \times 105 mm
A8 52 \times 74 mm
A9 37 \times 52 mm
A10 26 \times 37 mm

\text{the area of A0} = 1\mathrm{m}^2

\frac{\text{length}}{\text{width}} = \frac{1}{\sqrt{2}} = 0.70710678812\dots

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