The Metric System: America Measures Up. 1979 Edition. INSTITUTION Naval Education and Training Command, Washington, D.C
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NO CALCULATORS! APES Summer Work: Basic Math Concepts Directions: Please Complete the Following to the Best of Your Ability
APES Summer Math Assignment 2015 ‐ 2016 Welcome to AP Environmental Science! There will be no assigned reading over the summer. However, on September 4th, you will be given an initial assessment that will check your understanding of basic math skills modeled on the problems you will find below. Topics include the use of scientific notation, basic multiplication and division, metric conversions, percent change, and dimensional analysis. The assessment will include approximately 20 questions and will be counted as a grade for the first marking period. On the AP environmental science exam, you will be required to use these basic skills without the use of a calculator. Therefore, please complete this packet without a calculator. If you require some review of these concepts, please go to the “About” section of the Google Classroom page where you will find links to videos that you may find helpful. A Chemistry review packet will be due on September 4th. You must register for the APES Summer Google Classroom page using the following code: rskj5f in order to access the assignment. The Chemistry review packet does not have to be completed over the summer but getting a head start on the assignment will lighten your workload the first week of school. A more detailed set of directions are posted on Google Classroom. NO CALCULATORS! APES Summer Work: Basic Math Concepts Directions: Please complete the following to the best of your ability. No calculators allowed! Please round to the nearest 10th as appropriate. 1. Convert the following numbers into scientific notation. 16, 502 = _____________________________________ 0.0067 = _____________________________________ 0.015 = _____________________________________ 600 = _____________________________________ 3950 = _____________________________________ 0.222 = _____________________________________ 2. -
Metric System Units of Length
Math 0300 METRIC SYSTEM UNITS OF LENGTH Þ To convert units of length in the metric system of measurement The basic unit of length in the metric system is the meter. All units of length in the metric system are derived from the meter. The prefix “centi-“means one hundredth. 1 centimeter=1 one-hundredth of a meter kilo- = 1000 1 kilometer (km) = 1000 meters (m) hecto- = 100 1 hectometer (hm) = 100 m deca- = 10 1 decameter (dam) = 10 m 1 meter (m) = 1 m deci- = 0.1 1 decimeter (dm) = 0.1 m centi- = 0.01 1 centimeter (cm) = 0.01 m milli- = 0.001 1 millimeter (mm) = 0.001 m Conversion between units of length in the metric system involves moving the decimal point to the right or to the left. Listing the units in order from largest to smallest will indicate how many places to move the decimal point and in which direction. Example 1: To convert 4200 cm to meters, write the units in order from largest to smallest. km hm dam m dm cm mm Converting cm to m requires moving 4 2 . 0 0 2 positions to the left. Move the decimal point the same number of places and in the same direction (to the left). So 4200 cm = 42.00 m A metric measurement involving two units is customarily written in terms of one unit. Convert the smaller unit to the larger unit and then add. Example 2: To convert 8 km 32 m to kilometers First convert 32 m to kilometers. km hm dam m dm cm mm Converting m to km requires moving 0 . -
Lesson 1: Length English Vs
Lesson 1: Length English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer B. 1 yard or 1 meter C. 1 inch or 1 centimeter English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer 1 mile B. 1 yard or 1 meter C. 1 inch or 1 centimeter 1.6 kilometers English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer 1 mile B. 1 yard or 1 meter C. 1 inch or 1 centimeter 1.6 kilometers 1 yard = 0.9444 meters English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer 1 mile B. 1 yard or 1 meter C. 1 inch or 1 centimeter 1.6 kilometers 1 inch = 2.54 centimeters 1 yard = 0.9444 meters Metric Units The basic unit of length in the metric system in the meter and is represented by a lowercase m. Standard: The distance traveled by light in absolute vacuum in 1∕299,792,458 of a second. Metric Units 1 Kilometer (km) = 1000 meters 1 Meter = 100 Centimeters (cm) 1 Meter = 1000 Millimeters (mm) Which is larger? A. 1 meter or 105 centimeters C. 12 centimeters or 102 millimeters B. 4 kilometers or 4400 meters D. 1200 millimeters or 1 meter Measuring Length How many millimeters are in 1 centimeter? 1 centimeter = 10 millimeters What is the length of the line in centimeters? _______cm What is the length of the line in millimeters? _______mm What is the length of the line to the nearest centimeter? ________cm HINT: Round to the nearest centimeter – no decimals. -
Scale on Paper Between Technique and Imagination. Example of Constant’S Drawing Hypothesis
S A J _ 2016 _ 8 _ original scientific article approval date 16 12 2016 UDK BROJEVI: 72.021.22 7.071.1 Констант COBISS.SR-ID 236416524 SCALE ON PAPER BETWEEN TECHNIQUE AND IMAGINATION. EXAMPLE OF CONSTANT’S DRAWING HYPOTHESIS A B S T R A C T The procedure of scaling is one of the elemental routines in architectural drawing. Along with paper as a fundamental drawing material, scale is the architectural convention that follows the emergence of drawing in architecture from the Renaissance. This analysis is questioning the scaling procedure through the position of drawing in the conception process. Current theoretical researches on architectural drawing are underlining the paradigm change that occurred as a sudden switch from handmade to computer generated drawing. This change consequently influenced notions of drawing materiality, relations to scale and geometry. Developing the argument of scaling as a dual action, technical and imaginative, Constant’s New Babylon drawing work is taken as an example to problematize the architect-project-object relational chain. Anđelka Bnin-Bninski KEY WORDS 322 Maja Dragišić University of Belgrade - Faculty of Architecture ARCHITECTURAL DRAWING SCALING PAPER DRAWING INHABITATION CONSTANT’S NEW BABYLON S A J _ 2016 _ 8 _ SCALE ON PAPER BETWEEN TECHNIQUE AND IMAGINATION. INTRODUCTION EXAMPLE OF CONSTANT’S DRAWING HYPOTHESIS This study intends to question the practice of scaling in architectural drawing as one of the elemental routines in the contemporary work of an architect. The problematization is built on the relation between an architect and the drawing process while examining the evolving role of drawing in the architectural profession. -
Forestry Commission Booklet: Forest Mensuration Handbook
Forestry Commission ARCHIVE Forest Mensuration Handbook Forestry Commission Booklet 39 KEY TO PROCEDURES (weight) (weight) page 36 page 36 STANDING TIMBER STANDS SINGLE TREES Procedure 7 page 44 SALE INVENTORY PIECE-WORK THINNING Procedure 8 VALUATION PAYMENT CONTROL page 65 Procedure 9 Procedure 10 Procedure 11 page 81 page 108 page 114 N.B. See page 14 for further details Forestry Commission Booklet No. 39 FOREST MENSURATION HANDBOOK by G. J. Hamilton, m sc FORESTRY COMMISSION London: Her Majesty’s Stationery Office © Crown copyright 1975 First published 1975 Third impression 1988 ISBN 0 11 710023 4 ODC 5:(021) K eyw ords: Forestry, Mensuration ACKNOWLEDGEMENTS The production of the various tables and charts contained in this publication has been very much a team effort by members of the Mensuration Section of the Forestry Commission’s Research & Development Division. J. M. Christie has been largely responsible for initiating and co-ordinating the development and production of the tables and charts. A. C. Miller undertook most of the computer programming required to produce the tables and was responsible for establishing some formheight/top height and tariff number/top height relationships, and for development work in connection with assortment tables and the measurement of stacked timber. R. O. Hendrie prepared the single tree tariff charts and analysed various data concerning timber density, stacked timber, and bark. M. D. Witts established most of the form height/top height and tariff number/top height relationships and investigated bark thickness in the major conifers. Assistance in checking data was given by Miss D. Porchet, Mrs N. -
Biological Resources Engineering FACTS Facts 176 March 1990
DEPARTMENT OF BIOLOGICAL RESOURCES ENGINEERING * COLLEGE PARK, MD 20742-2315 * (301) 405-1198 * FAX (301) 314-9023 Biological Resources Engineering FACTS Facts 176 March 1990 DETERMINING THE AMOUNT OF MANURE IN A PILE OR A POOL Herbert L. Brodie Extension Agricultural Engineer Planning for the most effective use of manure on your farm requires a combination of information that defines the quality and quantity of manure available. The manure analysis tells you the nutrient content of the manure in pounds per ton or pounds per gallon. A manure spreader calibration allows you to develop a manure application rate that matches the crop nutrient need with the manure nutrient content in terms of tons or gallons of manure per acre. An estimate of the total amount of manure in storage allows you to determine the total number of acres that can be fertilized at the calibration rate. The determination of the amount of manure available for spreading requires estimation of the volume in a pile or container. This fact sheet describes methods of measurement and calculation of volume and the conversion of volume to weight. What is volume? Volume is the amount of space contained within or occupied by an object. Volume is measured in cubic units such as cubic feet, cubic inches, cubic meters or cubic yards. With simple straight sided right angled boxes (Figure 1), the calculation of volume (V) is simply the width (W) multiplied by the height (H) multiplied by the length (L) of the space (V = H x W x L). Figure 1. Volume of a simple box. -
Guide for the Use of the International System of Units (SI)
Guide for the Use of the International System of Units (SI) m kg s cd SI mol K A NIST Special Publication 811 2008 Edition Ambler Thompson and Barry N. Taylor NIST Special Publication 811 2008 Edition Guide for the Use of the International System of Units (SI) Ambler Thompson Technology Services and Barry N. Taylor Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899 (Supersedes NIST Special Publication 811, 1995 Edition, April 1995) March 2008 U.S. Department of Commerce Carlos M. Gutierrez, Secretary National Institute of Standards and Technology James M. Turner, Acting Director National Institute of Standards and Technology Special Publication 811, 2008 Edition (Supersedes NIST Special Publication 811, April 1995 Edition) Natl. Inst. Stand. Technol. Spec. Publ. 811, 2008 Ed., 85 pages (March 2008; 2nd printing November 2008) CODEN: NSPUE3 Note on 2nd printing: This 2nd printing dated November 2008 of NIST SP811 corrects a number of minor typographical errors present in the 1st printing dated March 2008. Guide for the Use of the International System of Units (SI) Preface The International System of Units, universally abbreviated SI (from the French Le Système International d’Unités), is the modern metric system of measurement. Long the dominant measurement system used in science, the SI is becoming the dominant measurement system used in international commerce. The Omnibus Trade and Competitiveness Act of August 1988 [Public Law (PL) 100-418] changed the name of the National Bureau of Standards (NBS) to the National Institute of Standards and Technology (NIST) and gave to NIST the added task of helping U.S. -
How Are Units of Measurement Related to One Another?
UNIT 1 Measurement How are Units of Measurement Related to One Another? I often say that when you can measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot express it in numbers, your knowledge is of a meager and unsatisfactory kind... Lord Kelvin (1824-1907), developer of the absolute scale of temperature measurement Engage: Is Your Locker Big Enough for Your Lunch and Your Galoshes? A. Construct a list of ten units of measurement. Explain the numeric relationship among any three of the ten units you have listed. Before Studying this Unit After Studying this Unit Unit 1 Page 1 Copyright © 2012 Montana Partners This project was largely funded by an ESEA, Title II Part B Mathematics and Science Partnership grant through the Montana Office of Public Instruction. High School Chemistry: An Inquiry Approach 1. Use the measuring instrument provided to you by your teacher to measure your locker (or other rectangular three-dimensional object, if assigned) in meters. Table 1: Locker Measurements Measurement (in meters) Uncertainty in Measurement (in meters) Width Height Depth (optional) Area of Locker Door or Volume of Locker Show Your Work! Pool class data as instructed by your teacher. Table 2: Class Data Group 1 Group 2 Group 3 Group 4 Group 5 Group 6 Width Height Depth Area of Locker Door or Volume of Locker Unit 1 Page 2 Copyright © 2012 Montana Partners This project was largely funded by an ESEA, Title II Part B Mathematics and Science Partnership grant through the Montana Office of Public Instruction. -
Measuring in Metric Units BEFORE Now WHY? You Used Metric Units
Measuring in Metric Units BEFORE Now WHY? You used metric units. You’ll measure and estimate So you can estimate the mass using metric units. of a bike, as in Ex. 20. Themetric system is a decimal system of measurement. The metric Word Watch system has units for length, mass, and capacity. metric system, p. 80 Length Themeter (m) is the basic unit of length in the metric system. length: meter, millimeter, centimeter, kilometer, Three other metric units of length are themillimeter (mm) , p. 80 centimeter (cm) , andkilometer (km) . mass: gram, milligram, kilogram, p. 81 You can use the following benchmarks to estimate length. capacity: liter, milliliter, kiloliter, p. 82 1 millimeter 1 centimeter 1 meter thickness of width of a large height of the a dime paper clip back of a chair 1 kilometer combined length of 9 football fields EXAMPLE 1 Using Metric Units of Length Estimate the length of the bandage by imagining paper clips laid next to it. Then measure the bandage with a metric ruler to check your estimate. 1 Estimate using paper clips. About 5 large paper clips fit next to the bandage, so it is about 5 centimeters long. ch O at ut! W 2 Measure using a ruler. A typical metric ruler allows you to measure Each centimeter is divided only to the nearest tenth of into tenths, so the bandage cm 12345 a centimeter. is 4.8 centimeters long. 80 Chapter 2 Decimal Operations Mass Mass is the amount of matter that an object has. The gram (g) is the basic metric unit of mass. -
Volume-To-Weight Conversion Factors for Waste Handlers Every Other Year, the Texas Commission on Environmental Quality Must Issue a Report to the U.S
TCEQ REGULATORY GUIDANCE Permitting and Support Division RG-8 ● revised June 2010 Volume-to-Weight Conversion Factors for Waste Handlers Every other year, the Texas Commission on Environmental Quality must issue a report to the U.S. Environmental Protection Agency (EPA) summarizing hazardous-waste generation and management activities in Texas in a format specified by the EPA. The EPA requests that waste be reported in units of weight or that the density of the waste be reported also, so that volume units can be correctly converted to units of weight. The information that follows is designed to help handlers who know the volume of a waste but not its weight. This guide explains three methods by which a waste handler may determine the weight of a waste, other than weighing its entire volume. Method 1 The handler knows the density and volume of the waste. If a handler knows the density of a waste (i.e., its weight per unit volume), the handler can calculate the weight of the waste by using the following formula: density × volume = weight Example: A handler knows that the density of a waste is 11.5 lbs per gallon. The handler also knows that there is 50 gallons of the waste. The weight of the waste can be calculated as follows: 11.5 lbs/gal × 50 gal = 575 lbs Method 2 The handler knows the volume and weight of a representative sample of the waste. The formula for using this method is: (volume of original waste ÷ volume of sample) × weight of sample = weight of original waste TEXAS COMMISSION ON ENVIRONMENTAL QUALITY • PO BOX 13087 • AUSTIN, TX 78711-3087 The TCEQ is an equal opportunity employer. -
Useful Forestry Measurements Acre: a Unit of Area Equaling 43,560
Useful Forestry Measurements Acre: A unit of area equaling 43,560 square feet or 10 square chains. Basal Area: The area, usually in square feet, of the cross-section of a tree stem near its base, generally at breast height and inclusive of bark. The basal area per acre measurement gives you some idea of crowding of trees in a stand. Board Foot: A unit of area for measuring lumber equaling 12 inches by 12 inches by 1 inch. Chain: A unit of length. A surveyor’s chain equals 66 feet or 1/80-mile. Cord: A pile of stacked wood measuring 4 feet by 4 feet by 8 feet when originally conceived. Cubic Foot: A unit of volume measure, wood equivalent to a solid cube that measures 12 inches by 12 inches by 12 inches or 1,728 cubic inches. Cunit: A volume of wood measuring 3 feet and 1-1/2 inches by 4 feet by 8 feet and containing 100 solid cubic feet of wood. D.B.H. (diameter breast height): The measurement of a tree’s diameter at 4-1/2 feet above the ground line. M.B.F. (thousand board feet): A unit of measure containing 1,000 board feet. Section: A unit of area containing 640 acres or one square mile. Square Foot: A unit of area equaling 144 square inches. Township: A unit of land area covering 23,040 acres or 36 sections. Equations Cords per acre (based on 10 Basal Area Factor (BAF) angle gauge) (# of 8 ft sticks + # of trees)/(2 x # plots) Based on 10 Basal Area Factor Angle Gauge Example: (217+30)/(2 x 5) = 24.7 cords/acre BF per acre ((# of 8 ft logs + # of trees)/(2 x # plots)) x 500 Bd ft Example: (((150x2)+30)/(2x5))x500 = 9000 BF/acre or -
English Customary Weights and Measures
English Customary Weights and Measures Distance In all traditional measuring systems, short distance units are based on the dimensions of the human body. The inch represents the width of a thumb; in fact, in many languages, the word for "inch" is also the word for "thumb." The foot (12 inches) was originally the length of a human foot, although it has evolved to be longer than most people's feet. The yard (3 feet) seems to have gotten its start in England as the name of a 3-foot measuring stick, but it is also understood to be the distance from the tip of the nose to the end of the middle finger of the outstretched hand. Finally, if you stretch your arms out to the sides as far as possible, your total "arm span," from one fingertip to the other, is a fathom (6 feet). Historically, there are many other "natural units" of the same kind, including the digit (the width of a finger, 0.75 inch), the nail (length of the last two joints of the middle finger, 3 digits or 2.25 inches), the palm (width of the palm, 3 inches), the hand (4 inches), the shaftment (width of the hand and outstretched thumb, 2 palms or 6 inches), the span (width of the outstretched hand, from the tip of the thumb to the tip of the little finger, 3 palms or 9 inches), and the cubit (length of the forearm, 18 inches). In Anglo-Saxon England (before the Norman conquest of 1066), short distances seem to have been measured in several ways.