1.05 Dimensional Analysis or Unit Factor Method
|
|
|
- Alexander Bell
- 8 years ago
- Views:
Transcription
1 1.05 Dimensional Analysis or Unit Factor Method 12in = 1 ft 1 dime= 10 pennies 1 in = 2.54 cm Dr. Fred Garces Chemistry 100 Miramar College 100 yd = 300 ft *If you plan to be in the nursing field please go to the following urlhttp:// Read the context in this website to appreciate the importance in dimensional analysis in all type of calculation applications Dimensional Analysis and Calculations
2 Dimensional Analysis Dimensional Analysis Unit Conversion-Factor Factor Label method Ratios which are equivalent to the number 1 such as 12in/1ft or 60 min/1 hr or 5280 ft/1 mi. are called unit factors, or conversion factors. They are the key to most of the calculations in this course. What you need to remember is that the numerator and denominator of conversion factors must always represent equivalent quantities. <iframe title="youtube video player" class="youtube-player" type="text/ html" width="480" height="390" src=" frameborder="0" allowfullscreen></iframe> Dimensional Analysis and Calculations
3 Communicating in a foreign land Guadeloupe 0.05%, China 0.83% and Italy 29% speak English Consider traveling abroad Travel to Italy; How do you communicate? Cab fare is 17.25!to the hotel, how much is it in $? Suppose you are abroad and you want to communicate to the locals but you do not speak their language. How can you make your intentions known? One way is to use a translator. Another type of translator is the currency exchange Dimensional Analysis and Calculations
4 Basic Idea The Basic idea of conversion factors is to change the units that are given in a problem to units that is being sought. Desired Goal Unit Accomplished goal Given Unit Translator Speak English Dimensional Analysis and Calculations
5 Liras to dollars How much is in dollars? Need to know currency exchange: 0.69 = $ 1.00 (Translator) Given information Translator Goal * $ = $ Work it out Currency Exchange rate Dimensional Analysis and Calculations
6 Misc Conversion factors. Banker has $100 to purchase a wedding cake but the baker doesn t want his money instead, the baker needs 1 day tutoring for his son to pass the SAT. In this town the banker found the following tradesman, how can the banker secure a wedding cake? Occupation Skill Need. 1. Baker 1 wedding cake 1 day tutoring 2. Plumber 1 hr labor 25lb stag 3. Carpenter Roofing labor 3 hr computer help 4. Farmer1 50 bushel corn $ Farmer lb hog 50lb fish 6. Brew master 2 kegs beer Fix car radiator 7. Jewel smith Labor to craft necklace 4 hr house keeping 8. Auto mechanic car repair 1 25lb hog 9. Teacher 1 day tutoring fix broken necklace 10. Computer tech 3 hr computer setup 50 bushels corn 11. Fisherman 50lb fish Fix roof 12. Hunter 25lb stag 2 keg beer 13. Housekeeper 4 hrs house keeping 1 hr plumber 14. Banker $100 wedding cake Dimensional Analysis and Calculations
7 Misc Conversion factors. Banker has $100 to purchase a wedding cake but the baker doesn t want his money instead, the baker needs 1 day tutoring for his son to pass the SAT. In this town the banker found the following tradesman, how can the banker secure a wedding cake? Occupation Skill Need. 1. Baker 1 wedding cake 1 day tutoring 2. Plumber 1 hr labor 25lb stag 3. Carpenter Roofing labor 3 hr computer help 4. Farmer1 50 bushel corn $ Farmer lb hog 50lb fish 6. Brew master 2 kegs beer Fix car radiator 7. Jewel smith Labor to craft necklace 4 hr house keeping 8. Auto mechanic car repair 1 25lb hog 9. Teacher 1 day tutoring fix broken necklace 10. Computer tech 3 hr computer setup 50 bushels corn 11. Fisherman 50lb fish Fix roof 12. Hunter 25lb stag 2 keg beer 13. Housekeeper 4 hrs house keeping 1 hr plumber 14. Banker $100 wedding cake Dimensional Analysis and Calculations
8 Misc Conversion factors. Banker has $100 to purchase a wedding cake but the baker doesn t want his money instead, the baker needs 1 day tutoring for his son to pass the SAT. In this town the banker found the following tradesman, how can the banker secure a wedding cake? Occupation Skill Need. 1. Baker 1 wedding cake 1 day tutoring 2. Plumber 1 hr labor 25lb stag 3. Carpenter Roofing labor 3 hr computer help 4. Farmer1 50 bushel corn $ Farmer lb hog 50lb fish 6. Brew master 2 kegs beer Fix car radiator 7. Jewel smith Labor to craft necklace 4 hr house keeping 8. Auto mechanic car repair 1 25lb hog 9. Teacher 1 day tutoring fix broken necklace 10. Computer tech 3 hr computer setup 50 bushels corn 11. Fisherman 50lb fish Fix roof 12. Hunter 25lb stag 2 keg beer 13. Housekeeper 4 hrs house keeping 1 hr plumber 14. Banker $100 wedding cake Dimensional Analysis and Calculations
9 Misc Conversion factors. Banker has $100 to purchase a wedding cake but the baker doesn t want his money instead, the baker needs 1 day tutoring for his son to pass the SAT. In this town the banker found the following tradesman, how can the banker secure a wedding cake? Occupation Skill Need. 1. Baker 1 wedding cake 1 day tutoring 2. Plumber 1 hr labor 25lb stag 3. Carpenter Roofing labor 3 hr computer help 4. Farmer1 50 bushel corn $ Farmer lb hog 50lb fish 6. Brew master 2 kegs beer Fix car radiator 7. Jewel smith Labor to craft necklace 4 hr house keeping 8. Auto mechanic car repair 1 25lb hog 9. Teacher 1 day tutoring fix broken necklace 10. Computer tech 3 hr computer setup 50 bushels corn 11. Fisherman 50lb fish Fix roof 12. Hunter 25lb stag 2 keg beer 13. Housekeeper 4 hrs house keeping 1 hr plumber 14. Banker $100 wedding cake Dimensional Analysis and Calculations
10 Misc Conversion factors. Banker has $100 to purchase a wedding cake but the baker doesn t want his money instead, the baker needs 1 day tutoring for his son to pass the SAT. In this town the banker found the following tradesman, how can the banker secure a wedding cake? Occupation Skill Need. 1. Baker 1 wedding cake 1 day tutoring 2. Plumber 1 hr labor 25lb stag 3. Carpenter Roofing labor 3 hr computer help 4. Farmer1 50 bushel corn $ Farmer lb hog 50lb fish 6. Brew master 2 kegs beer Fix car radiator 7. Jewel smith Labor to craft necklace 4 hr house keeping 8. Auto mechanic car repair 1 25lb hog 9. Teacher 1 day tutoring fix broken necklace 10. Computer tech 3 hr computer setup 50 bushels corn 11. Fisherman 50lb fish Fix roof 12. Hunter 25lb stag 2 keg beer 13. Housekeeper 4 hrs house keeping 1 hr plumber 14. Banker $100 wedding cake Dimensional Analysis and Calculations
11 The Basis of Conversion Factor 1 Anything = Anything 1 1 Anything = Anything 1 doz = 12 thus Therefore 1 doz doz = 1 doz 12 = 1 Anything = Anything 12in = 1 ft 1 in = 2.54 cm 1 dime= 10 pennies 100 yd = 300 ft Likewise 0.69 $1.00 = $1.00! Dimensional Analysis and Calculations
12 Example: Distance to closes star. How many miles is the closest star, Proxima Centauri, 4.2 Light Years (LY)? day 4.2 Light year 1yr Conversion factors: cm / s or 186, 282 mi / hr 365 days = 1 year 24 hr = 1 day 60 min = 1 hr 24hr 1day 60min 1hr 60sec 186,282 mi = 2.5e13mi Work it out 1min 1sec Dimensional Analysis and Calculations
13 Other Conversion factors. Length Volume 1 cm = in 1 m = 39.4 in = 3.24 ft = 1.08 yd 1 in = 2.54 cm = ft 1 ft = 30.5 cm = 0.305m = 12 in 1 yd = cm = m = 3 ft =36 in 1 cm 3 = 1cc = 1 ml 1 L = 1000ml = 1000 cm 3 = qt 1 qt = L 1gal = 4 qt = 3.78 L Mass 1 g = oz = lb. 1 Kg = 1000 g = 2.20 lb. 1 mt = 1000 Kg = 2200 lb. = 1.10 ton 1 lb = 454 g = Kg 1 ton = 2000lb = 908 Kg = mt Dimensional Analysis and Calculations
14 More Conversion factors Dimensional Analysis and Calculations
15 Exercise on Dimensional Analysis Suppose the exchange rate for the yen is 77 Yen / $1.00. If gold at the Tokyo exchange is 140K Yen an ounce, how much will 50.0 gram cost in euro. (453.9 gram = 1.00 lb., 16 oz. = 1.0 lb..) $3.2K or Dimensional Analysis and Calculations
16 Exercise Dimensional Analysis and Calculations
17 II Accuracy, Precision & Significant Figures Exception to significant figure rules: These type of numbers contain unlimited significant figures (do not influence the number of significant figures in the final answer). Number of Tallies, i.e., 5 fingers, 176 students. *Definition of numbers - i.e., Exactly 1 m = 100 cm, or 1 in = 2.54 cm Power of 10 in exponential notation i.e., 10 6 but practical to express numbers as (exponential calc) *Define conversion versus measured conversion Dimensional Analysis and Calculations
18 Conversion factors: Measured versus defined One last important note: -Conversion factor comes in two forms, the first are conversion factors from definitions. Examples are, 60 min = 1 hr, 100cm = 1m, 5280 ft = 1 mile, 1 gal = L, 100 pennies = $ Other conversion factors are based on measured values mph (65.0 mi = 1 hr), $10/hr (10 $ = 1 hr), 0.76Euro/$ (0.76 euro = 1.00$) -Measured conversion factors do have defined significant figures unlike defined conversion factors that have infinite number of significant figures. Thus in the problem; If a runner for minutes at 11 mph, how far will the runner travel in miles? The answer is rounded to two significant figures min 1 hr 60 min 11 mi 1 hr = mi = 26 mi Dimensional Analysis and Calculations
19 Exercise Answer the following using dimensional analysis. 1 How many kilograms in lb? 2 How long in centimeter is a 30.5-inch waist? 3a An SUV requires 20.5 gallons of gasoline (gas) for a full tank. How many ml of gas is needed for a full tank of gasoline? 3b If gasoline has a density of 0.85 grams per ml, what is the mass of this volume of gas? 4. How fast is a car moving in cm / sec if its speedometer is reading mph? 5. How many pennies are needed (1.95 cm diameter) to stretch from the earth to the sun? It takes 8.00 minutes and 20.0 seconds for light to travel from the sun to the earth traveling at 186,282 mi/sec Dimensional Analysis and Calculations
Measurement. Customary Units of Measure
Chapter 7 Measurement There are two main systems for measuring distance, weight, and liquid capacity. The United States and parts of the former British Empire use customary, or standard, units of measure.
Converting Units of Measure Measurement
Converting Units of Measure Measurement Outcome (lesson objective) Given a unit of measurement, students will be able to convert it to other units of measurement and will be able to use it to solve contextual
REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52
REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts which are taught in the specified math course.
MEASUREMENT. Historical records indicate that the first units of length were based on people s hands, feet and arms. The measurements were:
MEASUREMENT Introduction: People created systems of measurement to address practical problems such as finding the distance between two places, finding the length, width or height of a building, finding
Conversions. 12 in. 1 ft = 1.
Conversions There are so many units that you can use to express results that you need to become proficient at converting from one to another. Fortunately, there is an easy way to do this and it works every
DIMENSIONAL ANALYSIS #2
DIMENSIONAL ANALYSIS #2 Area is measured in square units, such as square feet or square centimeters. These units can be abbreviated as ft 2 (square feet) and cm 2 (square centimeters). For example, we
Prealgebra Textbook. Chapter 6 Odd Solutions
Prealgebra Textbook Second Edition Chapter 6 Odd Solutions Department of Mathematics College of the Redwoods 2012-2013 Copyright All parts of this prealgebra textbook are copyrighted c 2009 in the name
Unit Conversions. Ben Logan <ben.logan@gmail.com> Feb 10, 2005
Unit Conversions Ben Logan Feb 0, 2005 Abstract Conversion between different units of measurement is one of the first concepts covered at the start of a course in chemistry or physics.
UNIT (1) MEASUREMENTS IN CHEMISTRY
UNIT (1) MEASUREMENTS IN CHEMISTRY Measurements are part of our daily lives. We measure our weights, driving distances, and gallons of gasoline. As a health professional you might measure blood pressure,
Chapter 2 Measurement and Problem Solving
Introductory Chemistry, 3 rd Edition Nivaldo Tro Measurement and Problem Solving Graph of global Temperature rise in 20 th Century. Cover page Opposite page 11. Roy Kennedy Massachusetts Bay Community
MEASUREMENTS. U.S. CUSTOMARY SYSTEM OF MEASUREMENT LENGTH The standard U.S. Customary System units of length are inch, foot, yard, and mile.
MEASUREMENTS A measurement includes a number and a unit. 3 feet 7 minutes 12 gallons Standard units of measurement have been established to simplify trade and commerce. TIME Equivalences between units
MATHEMATICAL EXCURSIONS Math and the Tourist
MATHEMATICAL EXCURSIONS Math and the Tourist When you travel to a foreign country, besides different languages and customs, you may encounter a different currency, system of weights and measures, and temperature
CHAPTER 4 DIMENSIONAL ANALYSIS
CHAPTER 4 DIMENSIONAL ANALYSIS 1. DIMENSIONAL ANALYSIS Dimensional analysis, which is also known as the factor label method or unit conversion method, is an extremely important tool in the field of chemistry.
UNIT 1 MASS AND LENGTH
UNIT 1 MASS AND LENGTH Typical Units Typical units for measuring length and mass are listed below. Length Typical units for length in the Imperial system and SI are: Imperial SI inches ( ) centimetres
Objective To introduce a formula to calculate the area. Family Letters. Assessment Management
Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
Handout Unit Conversions (Dimensional Analysis)
Handout Unit Conversions (Dimensional Analysis) The Metric System had its beginnings back in 670 by a mathematician called Gabriel Mouton. The modern version, (since 960) is correctly called "International
A Mathematical Toolkit. Introduction: Chapter 2. Objectives
A Mathematical Toolkit 1 About Science Mathematics The Language of Science When the ideas of science are epressed in mathematical terms, they are unambiguous. The equations of science provide compact epressions
Student Exploration: Unit Conversions
Name: Date: Student Exploration: Unit Conversions Vocabulary: base unit, cancel, conversion factor, dimensional analysis, metric system, prefix, scientific notation Prior Knowledge Questions (Do these
INTERIM UNITS OF MEASURE As suggested by Federal Standard 376B January 27, 1993. hectare (ha) Hundred for traffic buttons.
SI - The Metrics International System of Units The International System of Units (SI) is a modernized version of the metric system established by international agreement. The metric system of measurement
Appendix C: Conversions and Calculations
Appendix C: Conversions and Calculations Effective application of pesticides depends on many factors. One of the more important is to correctly calculate the amount of material needed. Unless you have
1. Metric system- developed in Europe (France) in 1700's, offered as an alternative to the British or English system of measurement.
GS104 Basics Review of Math I. MATHEMATICS REVIEW A. Decimal Fractions, basics and definitions 1. Decimal Fractions - a fraction whose deonominator is 10 or some multiple of 10 such as 100, 1000, 10000,
Conversion Formulas and Tables
Conversion Formulas and Tables Metric to English, Introduction Most of the world, with the exception of the USA, uses the metric system of measurements exclusively. In the USA there are many people that
4-1 Ratios, Rates, and Unit Rates
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Divide. Round answers to the nearest tenth. 1. 420 23.3 2. 73 3.5 18 21 3. 380 23.8 4. 430 23.9 16 18 Learn to work with rates and
Units of Measurement: A. The Imperial System
Units of Measurement: A. The Imperial System Canada uses the metric system most of the time! However, there are still places and occasions where the imperial system of measurement is used. People often
Rounding to the Nearest Inch
Count by s to 0. Practice the and flash cards for minutes. Do Speed Drill on page. Record your score in the graph on page 0. Read to your teacher. 1 = $. = $1. 0,00 1
ENGLISH CONTENT. Instructions for Using Your Computer Watch
ENGLISH CONTENT Instructions for Using Your Computer Watch Two Rotation System of Scale Ring Rotate System Crown Rotate System Ring Rotate System Crown Rotate System Figure 1 Instructions for Using your
Chapter 1 Problems. To do all three sections of this problem, we can first convert the radius to kilometers. r = 6.37 10 6 1km 1000m = 6.
Chapter 1 Problems 1.1 The Earth is approximately a sphere of radius 6.37 x 10 6 m. (a) What is is its circumference in kilometers? (b) What is its surface area in square kilometers? (c) What is its volume
Exercise Worksheets. Copyright. 2002 Susan D. Phillips
Exercise Worksheets Copyright 00 Susan D. Phillips Contents WHOLE NUMBERS. Adding. Subtracting. Multiplying. Dividing. Order of Operations FRACTIONS. Mixed Numbers. Prime Factorization. Least Common Multiple.
Chapter 1 Lecture Notes: Science and Measurements
Educational Goals Chapter 1 Lecture Notes: Science and Measurements 1. Explain, compare, and contrast the terms scientific method, hypothesis, and experiment. 2. Compare and contrast scientific theory
Chapter 8 Unit Conversions
Chapter 8 Unit Conversions [M]athematics is the easiest of sciences, a fact which is obvious in that no one s brain rejects it. Roger Bacon (c. 1214-c. 1294), English philosopher and scientist Stand firm
Grade 4 Mathematics Measurement: Lesson 3
Grade 4 Mathematics Measurement: Lesson 3 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside
To Multiply Decimals
4.3 Multiplying Decimals 4.3 OBJECTIVES 1. Multiply two or more decimals 2. Use multiplication of decimals to solve application problems 3. Multiply a decimal by a power of ten 4. Use multiplication by
Healthcare Math: Converting Measurements & Calculating Dosage per Body Weight
Healthcare Math: Converting Measurements & Calculating Dosage per Body Weight Industry: Healthcare Content Area: Mathematics Core Topics: Using the metric system, converting units of measurement using
EXAMPLE EXERCISE 3.1 Metric Basic Units and Prefixes
EXAMPLE EXERCISE 3.1 Metric Basic Units and Prefixes Give the symbol for each of the following metric units and state the quantity measured by each unit: (a) gigameter (b) kilogram (c) centiliter (d) microsecond
Chapter 3 Review Math 1030
Section A.1: Three Ways of Using Percentages Using percentages We can use percentages in three different ways: To express a fraction of something. For example, A total of 10, 000 newspaper employees, 2.6%
Welcome to Physics 40!
Welcome to Physics 40! Physics for Scientists and Engineers Lab 1: Introduction to Measurement SI Quantities & Units In mechanics, three basic quantities are used Length, Mass, Time Will also use derived
Metric Units of Weight and Volume
7.3 Metric Units of Weight and Volume 7.3 OBJECTIVES 1. Use appropriate metric units of weight 2. Convert metric units of weight 3. Estimate metric units of volume 4. Convert metric units of volume The
Excel Invoice Format. SupplierWebsite - Excel Invoice Upload. Data Element Definition UCLA Supplier website (Rev. July 9, 2013)
Excel Invoice Format Excel Column Name Cell Format Notes Campus* Supplier Number* Invoice Number* Order Number* Invoice Date* Total Invoice Amount* Total Sales Tax Amount* Discount Amount Discount Percent
4 th Grade Summer Mathematics Review #1. Name: 1. How many sides does each polygon have? 2. What is the rule for this function machine?
. How many sides does each polygon have? th Grade Summer Mathematics Review #. What is the rule for this function machine? A. Pentagon B. Nonagon C. Octagon D. Quadrilateral. List all of the factors of
Revision Notes Adult Numeracy Level 2
Revision Notes Adult Numeracy Level 2 Place Value The use of place value from earlier levels applies but is extended to all sizes of numbers. The values of columns are: Millions Hundred thousands Ten thousands
Customary Length, Weight, and Capacity
15 CHAPTER Lesson 15.1 Customary Length, Weight, and Capacity Measuring Length Measure each object to the nearest inch. 1. The crayon is about inches long. 2. 3. The toothbrush is about The rope is about
GRADE 6 MATHEMATICS CORE 1 VIRGINIA STANDARDS OF LEARNING. Spring 2006 Released Test. Property of the Virginia Department of Education
VIRGINIA STANDARDS OF LEARNING Spring 2006 Released Test GRADE 6 MATHEMATICS CORE 1 Property of the Virginia Department of Education 2006 by the Commonwealth of Virginia, Department of Education, P.O.
DesCartes (Combined) Subject: Mathematics Goal: Data Analysis, Statistics, and Probability
DesCartes (Combined) Subject: Mathematics Goal: Data Analysis, Statistics, and Probability RIT Score Range: Below 171 Below 171 171-180 Data Analysis and Statistics Data Analysis and Statistics Solves
Imperial and metric quiz
Level A 1. Inches are a metric measure of length. 2. Pints are smaller than gallons. 3. 1 foot is the same as: A) 12 inches B) 14 inches C) 16 inches D) 3 yards 4. foot is usually shortened to: A) 1 f
Jones and Bartlett Publishers, LLC. NOT FOR SALE OR DISTRIBUTION.
Chapter 3 Metric System You shall do no unrighteousness in judgment, in measure of length, in weight, or in quantity. Just balances, just weights, shall ye have. Leviticus. Chapter 19, verse 35 36. Exhibit
Chapter 8 Unit Conversions
99 Chapter 8 Unit Conversions Review Skills 8.1 Unit Analysis An Overview of the General Procedure Metric-Metric Unit Conversions English-Metric Unit Conversions 8.2 Rounding Off and Significant Figures
10 g 5 g? 10 g 5 g. 10 g 5 g. scale
The International System of Units, or the SI Units Vs. Honors Chem 1 LENGTH In the SI, the base unit of length is the Meter. Prefixes identify additional units of length, based on the meter. Smaller than
DesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability
DesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability RIT Score Range: Below 171 Below 171 Data Analysis and Statistics Solves simple problems based on data from
2.2 Scientific Notation: Writing Large and Small Numbers
2.2 Scientific Notation: Writing Large and Small Numbers A number written in scientific notation has two parts. A decimal part: a number that is between 1 and 10. An exponential part: 10 raised to an exponent,
Chapter 1 Chemistry: The Study of Change
Chapter 1 Chemistry: The Study of Change This introductory chapter tells the student why he/she should have interest in studying chemistry. Upon completion of this chapter, the student should be able to:
Note: Because approximations are used, your answers may vary slightly from the answers given in the back of the book.
2.5C 9.7 Exercise Set FOR EXTRA HELP Note: Because approximations are used, your answers may vary slightly from the answers given in the back of the book. Objective Convert as indicated. If necessary,
Healthcare Math: Using the Metric System
Healthcare Math: Using the Metric System Industry: Healthcare Content Area: Mathematics Core Topics: Using the metric system, converting measurements within and between the metric and US customary systems,
One basic concept in math is that if we multiply a number by 1, the result is equal to the original number. For example,
MA 35 Lecture - Introduction to Unit Conversions Tuesday, March 24, 205. Objectives: Introduce the concept of doing algebra on units. One basic concept in math is that if we multiply a number by, the result
Chapter 2 Measurements in Chemistry. Standard measuring device. Standard scale gram (g)
1 Chapter 2 Measurements in Chemistry Standard measuring device Standard scale gram (g) 2 Reliability of Measurements Accuracy closeness to true value Precision reproducibility Example: 98.6 o F 98.5 o
Calculating Area and Volume of Ponds and Tanks
SRAC Publication No. 103 Southern Regional Aquaculture Center August 1991 Calculating Area and Volume of Ponds and Tanks Michael P. Masser and John W. Jensen* Good fish farm managers must know the area
Sorting Cards: Common Measures
Sorting Cards: Common Measures The mass, capacity, length and time cards (pages 2-3) were originally used as a starter activity in a pre-gcse maths class (Level 1 and Level 2 numeracy), after we had done
APPENDIX I SI AND ENGLISH UNITS AND CONVERSION FACTORS
APPENDIX I SI AND ENGLISH UNITS AND CONVERSION FACTORS The International System of Units (Systéme International d Unités, or SI) recognizes seven basic units from which all others are derived. They are:
CONVERSION INFORMATION
CONVERSION INFORMATION Compiled by Campbell M Gold (2008) CMG Archives http://campbellmgold.com IMPORTANT The health information contained herein is not meant as a substitute for advice from your physician,
DesCartes (Combined) Subject: Mathematics Goal: Statistics and Probability
DesCartes (Combined) Subject: Mathematics Goal: Statistics and Probability RIT Score Range: Below 171 Below 171 Data Analysis and Statistics Solves simple problems based on data from tables* Compares
How to Use Your Student Health Insurance
Just the Basics Useful Telephone Numbers How to Use Your Student Health Insurance Money Conversion Tables/Weights and Measures Obtaining a Social Security Card Public Transportation Owning and Operating
Authors: Editor: Graphics: Jason March, B.A. Tim Wilson, B.A. Linda Shanks. Tim Wilson Jason March Eva McKendry
Student Name: Date: Contact Person Name: Phone Number: Lesson 15 Rates and Ratios Objectives Understand what a rate and a ratio are Solve word problems that involve rates and ratios Authors: Jason March,
$566.30. What is the monthly interest rate on the account? (Round to the nearest hundredth of a percent.) 4 = x 12. 7)
Exam Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1)What percent of 6 is 27? 1) 2)64.288 is 28.7% of what number? 2) 3)112% of what number is
Chapter 1: Chemistry: Measurements and Methods
Chapter 1: Chemistry: Measurements and Methods 1.1 The Discovery Process o Chemistry - The study of matter o Matter - Anything that has mass and occupies space, the stuff that things are made of. This
Drafting Terminology. Drafters. Drafting Technologists and Technicians
Drafting Terminology Drafters Drafting Technologists and Technicians Acknowledgments Winnipeg Technical College and the Department of Labour and Immigration of Manitoba wish to express sincere appreciation
Voyager Sopris Learning Vmath, Levels C-I, correlated to the South Carolina College- and Career-Ready Standards for Mathematics, Grades 2-8
Page 1 of 35 VMath, Level C Grade 2 Mathematical Process Standards 1. Make sense of problems and persevere in solving them. Module 3: Lesson 4: 156-159 Module 4: Lesson 7: 220-223 2. Reason both contextually
Measurement: Converting Distances
Measurement: Converting Distances Measuring Distances Measuring distances is done by measuring length. You may use a different system to measure length differently than other places in the world. This
CONNECT: Currency, Conversions, Rates
CONNECT: Currency, Conversions, Rates CHANGING FROM ONE TO THE OTHER Money! Finances! $ We want to be able to calculate how much we are going to get for our Australian dollars (AUD) when we go overseas,
GEOMETRY - MEASUREMENT Middle School, Science and Math Monica Edwins, Twin Peaks Charter Academy, Longmont Colorado
GEOMETRY - MEASUREMENT Grade Level: Written by: Length of Unit: Middle School, Science and Math Monica Edwins, Twin Peaks Charter Academy, Longmont Colorado Six class periods I. ABSTRACT This unit could
Capacity. Assessment Management
Capacity Objective To review units of capacity. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards
TEST A CHAPTER 6, EQUATIONS, INEQUALITIES, PROBLEM SOLVING. 1. Factor x 2-5x + 6. 2. Factor x 2-4x - 5.
TEST A CHAPTER 6, EQUATIONS, INEQUALITIES, PROBLEM SOLVING. Factor x 2-5x + 6. 2. Factor x 2-4x - 5. 3. Solve: (x + 2)(x - 3) = 0 x(x - 3)(x + 4) = 0 4. Solve by factoring: x 2 + x + 2 = 0. 5. Solve by
Metric Mania Conversion Practice. Basic Unit. Overhead Copy. Kilo - 1000 units. Hecto - 100 units. Deka - 10 units. Deci - 0.
Metric Mania Conversion Practice Overhead Copy Kilo - 1000 Hecto - 100 Deka - 10 To convert to a larger unit, move decimal point to the left or divide. Basic Unit Deci - 0.1 To convert to a smaller unit,
Chapter 1 Problems. 1micron 1 10 6 m =1 10 9 microns. =1 10 4 cm. 1micron 1 10 6 m = 9.144 105 microns. 1 ft
Chapter 1 Problems 1.3 The micrometer is often called the micron. (a) How man microns make up 1 km? (b) What fraction of a centimeter equals 1µm? (c) How many microns are in 1.0 yard We begin by calculating
Pre-Algebra Exam Review Review for Part 2: You may use a calculator to solve these problems.
Pre-Algebra Exam Review Review for Part 2: You may use a calculator to solve these problems. Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
A.2. Exponents and Radicals. Integer Exponents. What you should learn. Exponential Notation. Why you should learn it. Properties of Exponents
Appendix A. Exponents and Radicals A11 A. Exponents and Radicals What you should learn Use properties of exponents. Use scientific notation to represent real numbers. Use properties of radicals. Simplify
CHAPTER 2: MEASUREMENT AND PROBLEM SOLVING
CHAPTER 2: MEASUREMENT AND PROBLEM SOLVING Problems: 1-64, 69-88, 91-120, 123-124 2.1 Measuring Global Temperatures measurement: a number with attached units When scientists collect data, it is important
CHEMISTRY B- FACTOR LABEL PACKET NAME: HR: PAGE 1. Chemistry B. Factor Label Packet
CHEMISTRY B- FACTOR LABEL PACKET NAME: HR: PAGE 1 Chemistry B Factor Label Packet CHEMISTRY B- FACTOR LABEL PACKET NAME: HR: PAGE 2 PERIODIC TABLE OF ELEMENTS WITH OXIDATION NUMBERS +1 0 H +2 +3-3 He Li
Answers for the lesson Write Linear Equations in Slope-Intercept Form
LESSON 4.1 Answers for the lesson Write Linear Equations in Slope-Intercept Form Skill Practice 1. slope. You can substitute the slope for m and the y-intercept for b to get the equation of the line..
Chapter 1 An Introduction to Chemistry
1 Chapter 1 An Introduction to Chemistry 1.1 What Is Chemistry, and What Can Chemistry Do for You? Special Topic 1.1: Green Chemistry 1.2 Suggestions for Studying Chemistry 1.3 The Scientific Method 1.4
Lesson 1: Linear Measurement
Lesson 1: Linear Selected Content Standards Benchmarks Addressed: M-1-M Applying the concepts of length, area, surface area, volume, capacity, weight, mass, money, time, temperature, and rate to real-world
100 cm 1 m. = 614 cm. 6.14 m. 2.54 cm. 1 m 1 in. 1 m. 2.54 cm 1ft. 1 in = 242 in. 614 cm. 242 in 1 ft. 1 in. 100 cm = 123 m
Units and Unit Conversions 6. Define the problem: If the nucleus were scaled to a diameter of 4 cm, determine the diameter of the atom. Develop a plan: Find the accepted relationship between the size of
Sample Questions Chapter 2. Stoker
Sample Questions Chapter 2. Stoker 1. The mathematical meaning associated with the metric system prefixes centi, milli, and micro is, respectively, A) 2, 4, and 6. B) 2, 3, and 6. C) 3, 6, and 9. D) 3,
Measurement/Volume and Surface Area Long-Term Memory Review Grade 7, Standard 3.0 Review 1
Review 1 1. Explain how to convert from a larger unit of measurement to a smaller unit of measurement. Include what operation(s) would be used to make the conversion. 2. What basic metric unit would be
FSCJ PERT. Florida State College at Jacksonville. assessment. and Certification Centers
FSCJ Florida State College at Jacksonville Assessment and Certification Centers PERT Postsecondary Education Readiness Test Study Guide for Mathematics Note: Pages through are a basic review. Pages forward
How to Solve Drug Dosage Problems
How to Solve Drug Dosage Problems General Information ----------------------------------------- ----- ------------------ page 2 Converting between units -----------------------------------------------------------
= 800 kg/m 3 (note that old units cancel out) 4.184 J 1000 g = 4184 J/kg o C
Units and Dimensions Basic properties such as length, mass, time and temperature that can be measured are called dimensions. Any quantity that can be measured has a value and a unit associated with it.
Quarter One: August-October
Quarter One: August-October (Chapters 1 3, 5-6, 10) August - December Quarterly Addition facts with sums through 20 General Math Content 1. Write sums through 20. 1. Choose and enter the appropriate answer.
Area is a measure of how much space is occupied by a figure. 1cm 1cm
Area Area is a measure of how much space is occupied by a figure. Area is measured in square units. For example, one square centimeter (cm ) is 1cm wide and 1cm tall. 1cm 1cm A figure s area is the number
20(-1) - (-4) (-5) 10)
Pre-Algebra Final Exam Review Name Write the whole number in words. 1) 9,300,695 1) Add. 2) 58,142 30,645 + 5,300,621 2) Round the whole number to the given place. 3) 49,815,425 to the nearest million
Multiply circumference by 0.3183. Or divide circumference by 3.1416. Multiply diameter by 3.1416. Or divide diameter by 0.3183.
RULES RELATIVE TO THE CIRCLE TO FIND DIAMETER TO FIND CIRCUMFERENCE TO FIND RADIUS TO FIND SIDE OF AN INSCRIBED SQUARE TO FIND SIDE OF AN EQUAL SQUARE Multiply circumference by 0.383. Or divide circumference
Tallahassee Community College PERIMETER
Tallahassee Community College 47 PERIMETER The perimeter of a plane figure is the distance around it. Perimeter is measured in linear units because we are finding the total of the lengths of the sides
Measurement of Length, Mass, Volume and Density
Measurement of Length, Mass, Volume and Density Experimental Objective The objective of this experiment is to acquaint you with basic scientific conventions for measuring physical quantities. You will
Area and Circumference
4.4 Area and Circumference 4.4 OBJECTIVES 1. Use p to find the circumference of a circle 2. Use p to find the area of a circle 3. Find the area of a parallelogram 4. Find the area of a triangle 5. Convert
Sky Boys: How They Built the Empire State Building
FEDERAL RESERVE BANKS OF ST. LOUIS AND PHILADELPHIA ECONOMIC EDUCATION Sky Boys: How They Built the Empire State Building By Deborah Hopkinson / ISBN: 978-0-375-86541-1 Lesson Author Erin A. Yetter, Federal
AP Physics 1 and 2 Lab Investigations
AP Physics 1 and 2 Lab Investigations Student Guide to Data Analysis New York, NY. College Board, Advanced Placement, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks
PS Chapter 1 Review. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Class: Date: ID: A PS Chapter 1 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The two main branches of science are a. physics and chemistry.
CHEMICAL INVENTORY WORKSHEET INSTRUCTIONS
CHEMICAL INVENTORY WORKSHEET INSTRUCTIONS This form may be used as an aid to gather chemical inventory information for reporting in the online EHSA database. Completion of this form does NOT take the place
General Physics 1. Class Goals
General Physics 1 Class Goals Develop problem solving skills Learn the basic concepts of mechanics and learn how to apply these concepts to solve problems Build on your understanding of how the world works
Metric Prefixes. 10 12 Tera- T 10 2 centi- c 10 9 Giga- G 10 3 milli- m 10 6 Mega- M 10 6 micro- µ 10 3 kilo- k 10 9 nano- n
Metric Prefixes Meaning Name Abbreviation Meaning Name Abbreviation 10 12 Tera- T 10 2 centi- c 10 9 Giga- G 10 3 milli- m 10 6 Mega- M 10 6 micro- µ 10 3 kilo- k 10 9 nano- n These are the most commonly
Task: Representing the National Debt 7 th grade
Tennessee Department of Education Task: Representing the National Debt 7 th grade Rachel s economics class has been studying the national debt. The day her class discussed it, the national debt was $16,743,576,637,802.93.
EXERCISE # 1.Metric Measurement & Scientific Notation
EXERCISE # 1.Metric Measurement & Scientific Notation Student Learning Outcomes At the completion of this exercise, students will be able to learn: 1. How to use scientific notation 2. Discuss the importance