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You, Me, And The Metric System!

You, Me, And The Metric System!. Measure by TEN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!. How Do Metric Values Relate?. METRIC RELATES... In 10!.

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You, Me, And The Metric System!

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  1. You, Me, And The Metric System! Measure by TEN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  2. How Do Metric Values Relate? METRIC RELATES... In 10! Simply divide 1 m (meter) in exactly 10 parts,each of which measures 10 cm (centimeters).Then make a cube container that is10 cm x 10 cm x 10 cm (1000 cm³)that we can fill with water.

  3. And like magic, when you fill this cube container with water, it has the volume of exactly 1 L (liter). ALL SIMPLY RELATED IN 10.

  4. But then, when you place this cube filled with water on a scale it has a mass of exactly 1 kg (kilogram). How about that?          length, volume and mass,             all simply related in 10. Now YOU TOO can say mass.

  5. Just remember that for everyday purposes you will begin to appreciatethe close relationship betweenlength of 1 m (meter),volume of 1 L (liter) and mass of 1 kg (kilogram). For more metric fun visit; http://www.metricamerica.com/index.htm

  6. SI Base Units

  7. SI Derived Units

  8. Other Equivalents Equivalent in Base Units Name Symbol Unit of

  9. The Prefixes of the SI

  10. The Prefixes of the SI

  11. All the previous SI prefixes are multiples or sub-multiples of 1 000. The usage of the four SI prefixes below is by custom limited to non-technical measurements of length, area and volume. A.H. B. C. D. E. F. G.

  12. Some Common Conversions Length and Area: 1 foot = 12 inches 1 mile = 5,280 feet 1 kilometer = 1,000 meters 1 mile ≈ 1.6 kilometers 1 foot ≈ 0.305 meter 1 yard = 3 feet 1 mile = 1,760 yards 1 meter = 1,000 millimeters 1 inch ≈ 2.540 centimeters 1 acre = 4,840 square yards 1 square yard = 9 square feet 1 square foot = 144 square inches

  13. Volume: 1 gallon = 4 quarts 1 gallon ≈ 231 cubic inches 1 liter = 1,000 milliliters 1 liter ≈ 1.057 quarts 1 gallon ≈ 3.785 liters 1 quart = 2 pints 1 pint = 16 fluid ounces 1 cubic yard = 27 cubic feet 1 cubic foot ≈ 7.48 gallons

  14. Weight (on Earth’s surface) 1 ton = 2,000 pounds 1 kilogram ≈ 2.205 pounds 1 pound = 16 ounces 1 pound ≈ 0.454 kilogram 1 kilogram = 1,000 grams

  15. Converting from One Metric Unit to Another Skills you need to do this include: 1) memorize the metric prefixes names and symbols2) determine which of two prefixes represents a larger amount3) determine the exponential "distance" between two prefixes4) significant figure rules5) scientific notation

  16. The key skill in solving these problems is to construct a conversion factor. This conversion factor will make the old unit go away and create the new unit in its place. Along with this change, there will be a change in the value of the number. Convert 2.50 mg to picograms

  17. DIMENSIONAL ANALYSIS: STEP ONE: Write the value (and its unit) from the problem, then in order write: 1) a multiplication sign, 2) a fraction bar, 3) an equals sign, and 4) the unit in the answer. Put a gap between 3 and 4. All that looks like this: The fraction bar will have the conversion factor. There will be a number and a unit in the numerator and the denominator

  18. STEP TWO: Write the unit from the problem in the denominator of the conversion factor, like this:

  19. STEP THREE: Write the unit expected in the answer in the numerator of the conversion factor.

  20. STEP FOUR: Examine the two prefixes in the conversion factor. In front of the LARGER one, put a one.

  21. STEP FIVE: Determine the absolute distance between the two prefixes in the conversion unit. Write it as a positive exponent in front of the other prefix Now, multiply and put into proper scientific notation format. Don't forget to write the new unit.

  22. Here are all five steps for the second example, put into one image: Why a one in front of the larger unit? I believe it is easier to visualize how many small parts make up one bigger part, like 1000 m make up one km

  23. Two Comments 1) If you do the conversion correctly, the numerical part and the unit will go in opposite directions. If the unit goes from smaller (mm) to larger (km), then the numerical part goes from larger to smaller. There will never be a correct case where number and unit both go larger or both go smaller.2) A common mistake is to put the one in front of the SMALLER unit. This results in a wrong answer. Put the one in front of the LARGER unit.

  24. Step Method Cross this line move decimal by 3 for each step. Mega Kilo Hecto Deka Base Deci Centi Milli Micro Nano pico Move only one decimal for each step in this area Cross this line move decimal by 3 for each step. Going down, decimal moves to the right for each step Going up, the decimal moves to the left for each step

  25. Practice Problems 1. 0.75 kg to milligrams 2. 1500 millimeters to km 3. 2390 g to kg 4. 0.52 km to meters 5. 65 kg to g 6. 750 micrograms to g 7. 0.25 megameters to cm 8. 23.8 ng to kg 9. 2.77 kg to mg 10. 2.90 cm to picometers 11. 45.6 microliters to megaliters 12. 1.08 kg to mg 13. 9.57 x 10-8 mm to nanometers 14. 2.00 L to mL 15. 35.28 mL to L

  26. Team competition! A.I. B.J. C.K. D.L. E.M. F.N. G.O. H. For your review try; http://www.aaamath.com/mea.html

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