Conversion of Metric Units Using Dimensional Analysis

Conversion of Metric Units Using Dimensional Analysis

Dimensional Analysis Problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value A BIT DIFFERENT THAN USING PROPORTIONS! Doing Problems 1. Read problem completely 2. Determine the measured qty. in the problem and the units 3. Determine units being requested 4. Determine conversion factor that will allow you to change to the new unit

Converting from English to Metric Units and Vice versa Use conversion factors that are exact by definition 1 inch = 2.54 cm 1 ounce = 28.35 g 1 quart = 0.946L or 946 mL 1 meter = 39.37 inches 1 kilogram = 2.2 pounds Metric second = English second 1L = 1.0567 quarts Conversion w/only 2 Units Conversions with several units:

When it comes time to do the math, the first number can be overlooked perhaps because it is visually different and not in line with other values. An error of omission is less likely using the following non-fraction format: Conversion of Metric Units Using Dimensional Analysis Depends on how many units are between the initial unit and the final unit Conversion chart from larger to

smaller units kilo hecto deca Base Unit deci centi milli

micro k h da gram (g) d c

m 1000 100 10 liter (L) 0.1

0.01 0.001 0.000001 10-4 103 102 101 meter (m)

10-1 10-2 10-3 10-5 10-6 Steps: 1. 2. Given quantity w/its unit

Set up conversion factor a. b. c. d. e. 3. 4. Place given unit as the denominator of the conversion factor Place desired unit as the numerator Place a 1 in front of the large unit Place a 10 in front of the smaller unit

Repeat b-d until reaching the final answer Cancel Units only the desired unit should be left Solve the problem An aspirin tablet contains 325 mg of active ingredient. How much is this in cg? 325 mg 1 1 cg 10 mg =

= 32.5cg of active ingredient 325 = 32.5 cg 10 Convert 50.0 mL to liters? 50.0mL 1 cL 1 10 mL 1 dL 1 L = 50 10 cL 10 dL 1000 = 0.0500L

Some Classroom Exercises A child weighs seven pounds at birth. How many ounces is this? An aspirin tablet contains 325 mg of active ingredient. How much is this in cg? One-fourth teaspoon has a mass of 0.21 g. What is this mass in mg? Some Classroom Exercises 32 grams is equal to ____________ kg 23 meters is equal to ____________ mm

Recently Viewed Presentations

  • Press conference on Clinical Study on Treating Post-stroke

    Press conference on Clinical Study on Treating Post-stroke

    針灸治療中風後抑鬱臨床研究新聞發布會 Press conference on Clinical Study on Treating Post-stroke Depression by Acupuncture
  • Dolutegravir Containing Regimens may Need Optimization for Youth

    Dolutegravir Containing Regimens may Need Optimization for Youth

    Peer Support Intervention to Enhance Virologic Outcomes among AYA (PESU Study) Primary Objective: To determine virologic suppression rate in the Peer Support Intervention group compared with the Standard of Care group after 48 weeks of intervention. Secondary Objectives: To determine...
  • testing.mdrobotalliance.org

    testing.mdrobotalliance.org

    Quote #3 "The most dangerous leadership myth is that leaders are born-that there is a genetic factor to leadership. That's nonsense; in fact, the opposite is true.
  • PowerPoint-Präsentation

    PowerPoint-Präsentation

    Thus for the police the value of HE seems more symbolic & strategic, rather than improving policing or upskilling officers. This likely stems from what constitutes professional expertise in the police where 'common sense' and personal experience still tip the...
  • 슬라이드 1 - Ibm

    슬라이드 1 - Ibm

    Jinho Lee, Kiyoung Choi, and Jung Ho Ahn. Seoul National University. Outline. Introduction. Our Approach. Buffered Compare Architecture. Evaluation. Summary. Introduction - MemoryWall. The number of cores in a chip is increasing.
  • British Airways - SFU.ca

    British Airways - SFU.ca

    British Airways is in One World. Singapore is in Star Alliance. ... British South American Airways—South American and Caribbean routes. Current News. November 09. May 10. ... First flight from British Straits Settlement of Singapore to Kuala Lumpur in 1947...
  • Ios Itpa Iter R&D

    Ios Itpa Iter R&D

    Procurement and schedule. Overview of the ITER In-Vessel Coils. ELM Coils (3 per sector) Upper VS Coil. ELM Feeders (27 sets in Upper Ports) Lower VS Coil. 27 ELM (Edge Localized Mode) water-cooled "picture frame" coils fabricated of Mineral insulated...
  • CPS Departmental Presentation Education Department Mission of the

    CPS Departmental Presentation Education Department Mission of the

    Teacher-in-Residence Program. The Teacher-in-Residence Program is an intensively supervised and mentored residency program for prospective teachers during their senior year clinical experience that refines their professional practice skills and helps them gain the teaching experience needed to demonstrate competence as...