What are the 6 rules of significant figures
1) All nonzero digits are significant
2) Zeroes between nonzero digits are significant
3) Leading zeros to the left before a nonzero digit are NOT significant
4) Trailing zeroes to the right after a decimal point are significant
5) Trailing zeroes to the right before a decimal point and after a nonzero digit are significant
6) Trailing zeroes before an implied decimal point are NOT significant
Significant figure rules for addition/subtraction
Your answer should have the same number of digits after the decimal as the term with the fewest decimal places
Significant figure rules for multiplication/division
Your answer should have the same number of significant figures as the term with the fewest
Significant figure rules for combination operations
1) Use PEMDAS like usual and mark the least significant figure or decimal place INSIDE the parentheses according to A/S or M/D.
2) Using that mark, follow the significant figure rules for operations outside the parentheses
m → cm → mm
1 m = 100 cm = 1000 mm
1 cm = 10 mm
1 mm = 0.1 cm = 0.001 m
in → cm
1 in = 2.54 cm
km → m
1 km = 1000 m
1 m = 0.001 km
mi → km
1 mi = 1.61 km
1 km = 0.621 mi
K → C°/F°
0 K = - 273 C° or - 459 F°
F° → C°
C° = (F° - 32) ÷ 1.8
C° → F°
F° = (1.8 · C°) + 32
SI unit of volume (what is volume measuring)
m3
- volume measures the space taken up by a substance
SI equation of density (what is density measuring)
d = mass ÷ volume
- density measures the ratio of of substance's mass to the space (volume) it takes up
gal → L
1 gal = 3.78 L
L → mL
1 L = 1000 mL
1 mL = 0.001 L
What is 1 mL equal to in volume
1 mL = 1 cm3
in3 → cm3
1 in3 = 16.39 cm3
1 cm3 = 0.061 in3
kg → lb
1 kg = 2.20 lb
1 lb = 0.454 kg
kg → g → mg
1 kg = 1000 g = 1,000,000 mg
1 g = 1000 mg
1 mg = 0.001 g = 0.000001 kg
What does the prefix kilo(k) mean
Kilo = 1000 → 103
What does the prefix centi(c) mean
Centi = 0.01 → 10-2
What does the prefix deci(d) mean
Deci = 0.1 → 10-1
What does the prefix milli(m) mean
Milli = 0.001 → 10-3
What does the prefix micro(μ) mean
Micro = 0.000001 → 10-6
What does the prefix nano(n) mean
Nano = 0.00000001 → 10-9