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

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 is 10 cm x 10 cm x 10 cm (1000 cm³) that we can fill with water.meter

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

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

Just remember that for everyday purposes you will begin to appreciate the close relationship between length of 1 m (meter), volume of 1 L (liter) and mass of 1 kg (kilogram). For more metric fun visit;

SI Base Units NameSymbolUnit of metermlength kilogramkgmass secondstime ampereAelectric current KelvinelvinKthermodynamic temperature molemolamount of substance candelacdluminous intensity

SI Derived Units NameSymbolUnit of Equivalent in Base Units Other Equivalents becquerelBqactivity (of a radionuclide)1/s- coulombCquantity of electricity, electric chargeA·sF·V = J/V degree Celsius °CCelsius temperatureKK – faradFcapacitanceA²·s 4 /kg·m²C/V=A·s/V grayGy absorbed dose, specific energy imparted, kerma m²/s²J/kg henryHinductancekg·m²/A²· s²Wb/A = V·s/A hertzHzfrequency1/s- jouleJenergy, work, quantity of heatkg·m²/s²N·m = W·s = Pa·m³ katalkatcatalytic activitymol/s- lumenlmluminous fluxcdcd·(4·π sr) = lx·m²

newtonNforcekg·m/s² J/m = W·s/m = Pa·m² ohm  electric resistancekg·m²/A²·s³V/A = 1/S pascalPapressure, stresskg/m·s²N/m² = J/m³ radianradplane angle1 1/(2·  ) of a circle siemensSelectric conductanceA²·s³/kg·m² A/V = 1/  sievertSvdose equivalentm²/s²J/kg steradia n srsolid angle1 1/(4·  ) of a sphere teslaTmagnetic flux densitykg/A·s² Wb/m² = N/A·m voltV electric potential difference, electromotive force kg·m²/A·s³ W/A = J/C = Wb/s wattWpower, radiant fluxkg·m²/s³ J/s = V·A = N·m/s weberWbmagnetic fluxkg·m²/A·s² V·s = H·A = T·m² = J/A NameSymbolUnit of Equivalent in Base Units Other Equivalents

The Prefixes of the SI yotta[Y] = (one septillion) zetta[Z] = (one sextillion) exa[E] = (one quintillion) peta[P] = (one quadrillion) tera[T] = (one trillion) giga[G] = 10 9 (one billion) mega [M ] = 10 6 (one million) kilo[k] = 10 3 (one thousand) 1 = 10 0 (one)

The Prefixes of the SI milli[m] = (one thousandth) micro [][] = (one millionth) nano[n] = (one billionth) pico[p] = (one trillionth) femto[f] = (one quadrilliont h) atto[a] = (one quintilliont h) zepto[z] = (one sextillionth) yocto[y] = (one septillionth)

All the previous SI prefixes are multiples or sub-multiples of The usage of the four SI prefixes below is by custom limited to non-technical measurements of length, area and volume. hecto[h]100= 10 2 (one hundred) deca[da]10= 101(ten) 1= 100(one) deci[d]0.1= 10-1(one tenth) centi[c]0.01= 10-2(one hundredth) A.A. H.H. B. C. D. E. F. G.

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 ≈ meter 1 yard = 3 feet 1 mile = 1,760 yards 1 meter = 1,000 millimeters 1 inch ≈ centimeters 1 acre = 4,840 square yards 1 square yard = 9 square feet 1 square foot = 144 square inches

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

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

Converting from One Metric Unit to Another Skills you need to do this include: 1) memorize the metric prefixes names and symbols 2) determine which of two prefixes represents a larger amount 3) determine the exponential "distance" between two prefixes 4) significant figure rules 5) scientific notation

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

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 DIMENSIONAL ANALYSIS:

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

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

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

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.

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

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.

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

kg to milligrams millimeters to km g to kg km to meters kg to g Practice Problems micrograms to g megameters to cm ng to kg kg to mg cm to picometers microliters to megaliters kg to mg x mm to nanometers L to mL mL to L

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