Measurements The Metric system was developed in France during the Napoleonic reign of France in the 1790's.
Which other countries, besides the U.S., do not use the metric system? STAT FACT Which other countries, besides the U.S., do not use the metric system? According to a survey taken many years ago, the only other countries that have not officially adopted the metric system are Liberia (in western Africa) and Myanmar (also known as Burma, in Southeast Asia).
Accurate Measurements Accurate=how close the measurement is to the actual measurement. Be sure we can compare our measurements to other people. Scientists make repeated measurements to increase the validity and reliability of the results.
YOU CAN BE PRECISE BUT STILL BE WRONG. Accuracy vs. precision Precision: When taking the same measurement over and over you get the same results. YOU CAN BE PRECISE BUT STILL BE WRONG. Accuracy: How close your results are to the TRUE/REAL results
A Measurement system must be agreed upon and cannot change Ex: The foot.
Le Systeme Internationale d’Unites (SI) 1960 Based on Metric System
Standards 8 Exact quantity that people agree to use for a certain measurement. Ex: The meter The speed that light travels in a vacuum 1/299 792 458 of a second. Why….This seems CRAZY!!! The meter Clip
Another Example of a Standard …..The kilogram The official kilogram, made of platinum-iridium, remains in France at the International Bureau of Weights and Measures Clip
Le Systeme Internationale d’Unites (SI) English: International System of Units Each measurement has a base unit.
Based on multiples of ten. SI System Based on multiples of ten. Examples of base units Length Meter Mass Gram Volume Liter Time Second Temperature -Kelvin Energy -Joule Electric Current -Ampere
Prefixes The most common prefixes are: Prefix- Symbol Multiple Prefixes are used with the base units to indicate what multiple of ten should be used. The most common prefixes are: Prefix- Symbol Multiple Kilo- k 1,000 Hecto- h 100 Deca- D 10 Deci- d .1 Centi- c .01 Mili- m .001 BASE UNIT
Convert the Following 65ml=_____L 3948g=_____kg 389.59m= ______km 0.03748 mg=_____kg (use Sci. Not.) 89304µg= _______g
Laboratory Apparatuses for making Measurements
LENGTH Distance
Meter Stick 1m = 100 Centimeters 1m = 1000 millimeters Length Distance 1m = 100 Centimeters 1m = 1000 millimeters 1cm = 10 mm Each line on the meter stick is a millimeter.
Meter Stick The last digit in all measurements is an estimate digit.
Amount of matter in an object MASS Amount of matter in an object
Triple Beam Balance Grams
VOLUME Space occupied
Length x Height x Width =Volume
Graduated Cylinder Volume Space an object occupies
Metric Conversions A conversion is changing the way you state the same amount! Ex: 1 dollar 4 quarters, 100 pennies, 10 dimes 1meter = 100centimeters Simply move your decimal point.
Let’s do some practice problems YEAH!
TEMPERATURE Kinetic Energy
Temperature Fahrenheit vs. Celsius vs. Kelvin 1742, Anders Celsius (1701-1744) Lord Kelvin (1824-1907) 1714:Daniel Gabriel Fahrenheit (1686-1736) Superfridge
DENSITY Mass per unit Volume
Derived Units Obtained by combining different units. Ex: Density 30 Obtained by combining different units. Ex: Density Density is the amount of mass per unit volume. D = m/v
Remember... ....all measurement need a unit.
TYPES OF DATA Quantitative vs. Qualitative 31 TYPES OF DATA Quantitative vs. Qualitative If the data collected involve observations without measurements or numbers, then it is referred to as qualitative data. Quantitative data involves numbers or measurements.
Significant Figures 32 The number of significant figures is the number of digits believed to be correct by the person doing the measuring. For measured numbers, significant figures relate the certainty of the measurement. As the number of significant figures increases, the more certain the measurement.
33 Your answer cannot be more accurate than the equipment used to make the measurement. The accuracy of the result is limited by the least accurate measurement.
Sig Fig Rules 34 Nonzero digits are always significant All final zeroes after a decimal point are significant Zeroes between two other significant digits are always significant Zeroes used solely as placeholders are NOT significant Zeroes between a decimal point and a nonzero digit are significant.
Put it in Scientific Notation. 35 Examples The significant zeroes in these measurements are colored black and the insignificant zeroes are red. 0.0860 1.0030 0.000010203 18,000 18,000.00 0.10001 Want to make it easier????? Put it in Scientific Notation.
Practice How many Sig Figs? 36 234.87 _____ 38302.00 _____ 3900.00 _____ 0.00045 _____ 9394000.09 _____ 479301820 _____ 0.00034440 _____
37 Arithmetic When you perform any arithmetic operation, it is important to remember that the result can never be more precise than the least precise measurement.
Addition or Subtraction 38 Perform the operation. Round off the result to correspond to the least precise value involved. (fewest # of decimal places) Example: 24.686 m + 2.343 m + 3.21 m = 30.239 m **You will report the correct calculated answer as 30.24 m.
Multiplication & Division Rules 39 Multiplication & Division Rules Perform the operation. Round off the result to correspond to the number with the LEAST number of significant figures. Example: 3.22 cm x 2.1 cm = 6.762 cm2 **Reported answer: 6.8 cm2
Practice 40 1) 6.201 cm + 7.4 cm + 0.68 cm + 12.0 cm = 2) 1.6 km + 1.62 m + 1200 cm = 3) 8.264 g - 7.8 g = 4) 10.4168 m - 6.0 m = 5) 12.00 m + 15.001 m = 6) 131 cm x 2.3 cm = 7) 5.7621 m x 6.201 m = 8) 20.2 cm / 7.41 s = 9) 40.002 g / 13.000005 ml =
41 Dimensional Analysis Problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value. Examples: Convert 50.0 mL to liters. How many centimeters are in 6.00 inches? Express 24.0 cm in inches. How many seconds are in 2.00 years?
Temperature Conversion 42 Temperature Conversion K = º C + 273 º C = (º F - 32) ÷ 1.8 º C = K - 273 º F = 1.8 ºC + 32 Examples on Notes.
Temperature Conversion Answers 1) -23 ºC 2) 66 ºC 3) 290 K 4) 328 K 5) 31.9 ºC 6) 230 ºF