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Created by: Lauren Sniscak
SI System Created by: Lauren Sniscak
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SI Units In 1960, this international agreement was reached specifying particular choice of metric units for use in scientific measurements Named after the French Système International d’Unités Has 7 base units from which all other units are derived
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SI Base Units Physical Quantity Name of Unit Abbreviation Mass
Kilogram kg Length Meter m Time Second s, sec Temperature Kelvin K Amount of substance Mole mol Electric current Ampere A Luminous intensity Candela cd
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Prefixes Prefix Abbreviation Meaning Giga G 109 Mega M 106 Kilo k 103
Deci d 10-1 Centi c 10-2 Milli m 10-3 Micro μ 10-6 Nano n 10-9 Pico p 10-12 Femto f 10-15 Prefixes — Used to indicate decimal fractions or multiples of various units
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Mass Length Meter is the SI base unit
A distance only slightly longer than a yard 1m = 1.09yd A measure of the amount of material in an object Kilogram is the SI base unit 1kg = 2.20lb
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Temperature Measure of hotness or coldness of an object
Determines the direction of heat flow Always flows spontaneously from a substance of a higher temperature to one at a lower temperature Celsius scale is the everyday scale of temperature in most countries
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Temperature (cont.) Kelvin is the SI unit of temperature
Historically based on properties of gases Zero is the lowest obtainable temperature on this scale ( oC): referred to as absolute zero Kelvin and Celsius both have the same size degrees K = oC + 273
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Volume Cubic meter (m3) is the basic SI unit
Another commonly used unit of volume is liter (L) 1L = 1dm3 The liter is not an SI unit 1cm3 = 1mL Those terms are used interchangeably in volume
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Reading Volume Always read the volume at: Eye level
The Meniscus (bottom of the liquid curve)
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Uncertainty in Measurement
Exact numbers-those whose values are known exactly Have defined values Result from counting numbers of an object Inexact numbers-those whose values have some uncertainty Always exists in measured quantities Counting very large numbers of objects
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Precision and Accuracy
Both terms are often used in discussing uncertainties of measured values Precision-measure of how closely individual measurements agree with one another Accuracy-refers to how closely individual measurements agree with the correct, or “true,” value
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Precision and Accuracy (cont.)
Accuracy – closeness to “true” or accepted value Percent error Precision – many trials; reproducibility Standard deviation
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(cont.)
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Significant Figures Measured quantities are generally reported in such a way that only the last digit is uncertain Significant figures-all digits of a measured quantity, including the uncertain one
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Conceptual Problem 3.1 Counting Significant Figures in Measurements
1. How many significant figures are in each measurement? a. 123 m d. 22 meter sticks b. 40,506 mm e m c x 104 m f. 98,000 m Practice Problems 2. Count the significant figures in each length. a meters c meter b meters d meters 3. How many significant figures are in each measurement? a. 143 grams c x 10-2 gram b meter d. 1,072 meters
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Sample Problem 3.1 Rounding Measurements
1. Round off each measurement to the number of significant figures shown in parentheses. Write the answers in scientific notation. a meters (four) b meter (two) c meters (two) Practice Problems 2. Round each measurement to three significant figures. Write your answers in scientific notation. a meters d meters b x 108 meters e x 10-3 meter c meter f meters 3. Now round each measurement from 2. to one significant figure. Write each of your answers in scientific notation.
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Sample Problem 3.2 Significant Figures in Addition
1. Calculate the sum of the three measurements. Give the answer to the correct number of significant figures. 12.52 meters meters meters = _______ Practice Problems 2. Perform each operation. Express your answers to the correct number of significant figures. a meters meters meters = _______ b meters – 2.11 meters = _______ c meters meters = _______ d meters – 17.3 meters = _______ 3. Find the total mass of three diamonds that have masses of 14.2 grams, 8.73 grams, and gram.
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Sample Problem 3.3 Significant Figures in Multiplication and Division
1. Perform the following operations. Give the answers to the correct number of significant figures. a meters x 0.34 meter = _______ b meters x 0.70 meter = _______ c meters / 8.4 = _______ Practice Problems 2. Solve each problem. Give the answers to the correct number of significant figures. a. 8.3 meters x 2.22 meters = _______ b meters / 12.5 = _______ c seconds x 1 minute = _______ seconds 3. Now round each measurement from 2. to one significant figure. Write each of your answers in scientific notation.
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