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The Metric (SI) System. Unit 1. SI = S ysteme I nternationale. Used in Science Used throughout the world (except in U.S.A.) for all measurements Based on “10s”. Base Units. Length = Meters (m) Mass = Grams (g) Volume = Liters (L) - PowerPoint PPT Presentation
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The Metric (SI) System
Unit 1
SI = Systeme Internationale
Used in Science Used throughout the
world (except in U.S.A.) for all measurements
Based on “10s”
Base Units Length = Meters (m) Mass = Grams (g) Volume = Liters (L) Temperature = Kelvins or Celsius
(based on absolute zero: -273ºC = 0 K)– 4 ºC = refrigerator– 20-22 ºC = room temperature– 37 ºC = body temperature
Metric Prefixes you MUST Memorize!!!!
Metric Prefixes To Memorize!!!Giga (G) 109
Mega (M) 106
Kilo (k) 103
Base Units – [m, L, g] 1Centi (c) 10-2
Milli (m) 10-3
Micro (µ) 10-6
Nano (n) 10-9
Measurements can be: Accurate – Close to the “true” value (with mutliple trials
compare the average to the true value) Precise – Reproducibility in replicate measurements (each
measurement is close to all of the others)
Neither accurate nor precise
Precise but not accurate
Precise AND accurate
Reading the MeniscusReading the MeniscusAlways read volume from the bottom of the meniscus. The meniscus is the curved surface of a liquid in a narrow cylindrical container.
Try to avoid parallax errors.Try to avoid parallax errors.ParallaxParallax errorserrors arise when a meniscus or arise when a meniscus or needle is viewed from an angle rather than needle is viewed from an angle rather than from straight-on at eye level.from straight-on at eye level.
Correct: Viewing the meniscus
at eye level
Incorrect: viewing the meniscus
from an angle
Sig. Figs. in Measurement1. Identify the smallest unit
that your device accurately measures to.
2. Estimate one digit past that smallest unit.
If the smallest division is ones, you estimate to the 10ths.
Use the graduations to find all Use the graduations to find all certain digitscertain digits
There are two unlabeled graduations below the meniscus, and each graduation represents 1 mL, so the certain digits of the reading are…
52 mL.
Lab techniques lab
Estimate the uncertain digit and Estimate the uncertain digit and take a readingtake a readingThe meniscus is about eight tenths of the way to the next graduation, so the final digit in the reading is _______.
The volume in the graduated cylinder is
0.8 mL
52.8 mL.
10 mL Graduate10 mL GraduateWhat is the volume of liquid in the graduate? (This one is tricky).
. mL6 6
25mL graduated cylinder 25mL graduated cylinder What is the volume of liquid in the graduate? . mL1 1 5
Reading the ThermometerReading the ThermometerDetermine the readings as shown below on Celsius thermometers:
. C . C 8 7 5 3 5 0
Your Turn:How many meters?
0.72 m
350 m
How many mL?
4800 mL
How many cm?
How many mm?
7.15 cm
71.5 mm
Practice
WS #1 -- Sig Figs in Measurement Lab Techniques Lab
Scientific Notation Why is Scientific Notation important?
– Make really big or really small numbers more manageable.– Helps keep track of significant figures.
In scientific notation, numbers are written as M x 10n. “M” must be a number between 0 and 10 (not including 0
or 10). Therefore, there must be one, and only one, number to the left of the decimal point; e.g., 2.35 x 105 meters.
156000 cm = 1.56 x 105 cm– Moving decimal left = (+) exponent– Multiplying by 105 = x 100,000
0.0000245 km = 2.45 x 10-5 km– Moving decimal to right = (-) exponent– Multiply by 10-5 = dividing by 100,000
Practice
Convert to or from scientific notation:1,4560.0034923.451 x 107
3.45 x 105
3.98 x 10-3
2.34 x 10-5
1.456 x 103
3.49 x 10-3
2.345 x 101
10,000,000
345,000
0.00398
0.0000234
Practice
WS #2 Scientific Notation
Significant Digits (Figures)
All non-zero digits are significant
9878 mL has 4 sig figs
Zeros appearing between non-zero digits are significant
403 L has 3 sig figs 504.07 L has 5 sig figs
Sig. Figs. (Cont.)
Zeros to the right of a non-zero digit and to the right of a decimal are significant
85.00 has 4 sig figs. 9.000000000 has 10 sig figs.
Zeros that appear in front of non-zero digits are not significant
0.095897 m has 5 sig figs
0.0009 Kg has 1 sig fig
Sig. Figs. (Cont.) Zeros at the end of a
number but to the left of a decimal may or may not be significant. If such a zero has been measured or is the first estimated digit, it is significant. If the zero has not been measured or estimated but is just a place holder, it is NOT significant.
2000 m may contain from 1 to 4 sig. figs depending on how many zeros are placeholders.
2000. definitely has 4, as indicated by the decimal.
This number can be rewritten in scientific notation to indicate any number of sig figs., e.g.:
2.0 x 103 has 2 sig figs
Sig. Figs, (Cont.)
Any counting numbers have an infinite number of significant digits.
250 cows has an infinite number of significant digits.
Conversion factors are never used to determine significant digits. E.g., 12 inches/1ft
How many sig figs in: 28.6 g 3340 cm 3340. cm 0.07080 m 9.8000 L 0.0067000 Kg 20 cars
3
4
3
5
5
Infinite – counting number
4
Practice
WS #3 – Significant Figures
Adding & Subtracting Sig. Figs. The answer must have
the same number of decimal places as there are in the measurement having the fewest decimal places.
Only adjust sig figs in your final answer
50.2 g – 32 g
57.712 57.71 g
44.15 44.2 L
4.8 ºC
18.2 18 g
25.652 g + 32.06 g = ?
42.1 L + 2.05 L = ?
36.6 ºC – 31.8 ºC
Multiplying & Dividing Sig. Figs. The answer can have
no more significant figures than are in the measurement with the fewest number of significant figures.
REMEMBER: Conversion factors are not significant!
50.2 g / 32 g
100,366 g 1.00 x 105 g
21.05 21.1 L
32.1552 x 108 m2 3.22 x 109 m2
1.56875 1.6 g
134 g x 749 g = ?
42.1 L / 2.00 L = ?
3.60 x 103 m x 8.932 x 105 m
Sig Figs in Combined Calculations In calculations that combine addition,
subtraction, multiplication, & division, sig figs are followed, but not included until the final answer.
Underline your sig figs in addition and subtraction to keep track
https://www.youtube.com/watch?v=__csP0NtlGI
Combined Example
Practice
WS #4 – Sig Figs in Calculations Metric Measurement Lab
Percent Error Calculation Measures how far off from the accepted
(theoretical) value the experimental value is.
%100Error %
lTheoretica
alExperimentlTheoretica
Percent Error Example:A student measures the mass and volume of a substance and calculates its density as 1.40 g/mL. The actual value of the density is 1.36 g/mL. What is the percent error of this measurement?
% Error = 1.36 g/mL - 1.40 g/mL X 100
1.36 g/mL
= 2.94% = 3%
Practice
WS #5 – Percent Error Calculations– Don’t forget significant figures!!!