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pre-fix #, basic units, scientific notation, and sig. fig.
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Unit, symbol, approximation of length
meter, “m”, a door is 2m tall
Unit, symbol, approximation of mass
gram, “g”, a 5c coin weighs 5g
Unit, symbol, approximation of volume
litre, “L”, a grapefruit occupies 1L of space
Unit and symbol of time
seconds, “s”
Mega
“M“ 1,000,000
kilo
“k” 1,000
hecto
“h” 10
deci
“d” 0.1
centi
“c” 0.01
milli
“m” 0.001
micro
“mew’ 0.000001
nano
“n" 0.000000001
Change 1234 to scientific notation
1.234 × 10³
Change 0.05678 to scientific notation
5.678 × 10^-2
rule when multiplying / dividing scientific notation
multiply / divide decimal parts and add / subtract exponents
rule when shifting scientific notation
decimal decrease exponent increase, and vice versa
rule when adding / subtracting scientific notation, and easier to …
exponent must same, and easier if shift up to larger exponent
Define accuracy
How close a measurement is to the actual value or known measurement
Define precision
Repeatability of measurements
Define significant figures
All the certain figures and plus the first uncertain figure
Six rules for counting significant figures
All nonzero digits are significant
all zeros between nonzero digits are significant
Final zeros to the left of a decimal point is significant
Final zeros to the left of a UNDERSTOOD decimal point are not significant
Final zeros to the right of a decimal point are significant
Zeros @ the beginning of a number are NOT significant
When converting from decimal to scientific the # of sig. fig. must …
stay same
Rule for multiplying and dividing sig. fig.
Product will only have as much sig. fig as the number with the least sig. fig.
Rule for adding and subtracting sig. fig.
Answer will have the uncertain digit at the same place as the most uncertain digit in the question e.g. 121 + 100 = 200 as the “0” in the tenth place is most uncertain, hence in “200” the uncertain digit is same.
The rule for uncertainty on a measurement, the last digit is assumed to be …
plus or minus 1
Define boiling/condensing point
The temperature at which a liquid/gas changes into the gas/liquid phase
Define freezing/melting point
The temperature at which a solid/liquid changes into the liquid/solid phase
Solid
rigid, don’t easily change shape, very small changes when experiencing heat and pressure
Liquid
change shape to container, small changes when experiencing heat and pressure
Gas
change shape to container, large changes when experiencing heat and pressure
Gases have … separation, meaning it can be …
large; compressed
Pure substances have a … boiling point, and mixtures normally …
constant; do not
No slope on a phase graph means…
The changing heat is being used in changing phases
Slope on a phase graph means
Changing heat in the substance causes change in temperature.