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Homework: Due Friday 9/4
Do 1-10 on a separate sheet of paper, include units.
Do all problems on slide 25 as well.
SI Units
Quantity Base Unit Symbol
Length
Mass
Time
Temp
meter
kilogram
second
kelvin
m
kg
s
K
Amount mole mol
Accuracy vs. Precision• Accuracy - how close a measurement is
to the true value
• Precision - how close a set of measurements are to each other
ACCURACY = CORRECTNESS
PRECISION = CONSISTENCY
Percent Error• Julie determines the density of copper to
be 8.25 g/cm3. Find the % error if the actual density of copper is 8.92 g/cm3.
100g/cm 8.92
g/cm 8.92g/cm 8.25error %
3
33
% error = 7.51 %
Precision
• This is the repeatability of a measurement. • It may or may not be accurate • But everyone who does it gets the same
answer
Accuracy vs. Precision
Which of the following will allow measurement of a liquid’s volume with the greatest precision?
A 50 mL cylinder graduated in 1 mL increments
B 50 mL cylinder graduated in 0.5 mL increments
C 100 mL cylinder graduated in 1 mL increments
D 200 mL cylinder graduated in 5 mL increments
Answer: B
Significant Figures (Sig Figs)• Indicate precision of a measurement.
• Recording Sig Figs– Sig figs in a measurement include the known
digits plus a final estimated digit
2.33 cm
• If the decimal is present, start on the Pacific side at the first nonzero digit and count it and all the digits to the right of it.
• If the decimal is absent, start on the Atlantic side at the first nonzero digit and count it and all the digits to the left of it.
Pacific
(Present)
Atlantic
(Absent)
4. 0.080
3. 5,280
2. 402
1. 23.50
Significant FiguresCounting Sig Fig Examples
1. 23.50
2. 402
3. 5,280
4. 0.080
= ____ sig figs
= ____ sig figs
= ____ sig figs
= ____ sig figs
Significant Figures
5. (15.30 g) ÷ (6.4 mL)
Practice Problems
= _______ g/mL
6. (18.9 g) - (0.86 g)
= _______ g
Scientific Notation• Converting into Sci. Notation:
– Move decimal until there’s 1 digit to its left. Places moved = exponent.
– Large # (>1) positive exponentSmall # (<1) negative exponent
– Only write sig figs.