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Metric system and scientific notation
Intro to Science Metric system and scientific notation
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SI Base Units Quantity Unit Abbreviation Length Meter m Mass gram g
Time Second s Temperature Kelvin K Volume Liter L Volume (2nd) Cubic cm cm3
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Mass measures how much matter is in something
kg (1.99 X 1030 kg) grams (1.67 X g)
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Volume measures how much space something takes up
Cubic centimeters (cm3) Milliters (mL)
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Metric Prefixes Prefix Symbol Multiple of base unit kilo- k 103 hecto-
102 deka- da 101 BASE BASE UNIT deci- d 10-1 centi- c 10-2 milli- m 10-3
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Prefixes for grams Milli Milligrams 1/1000 of a gram Grams (base) Kilo
Kilogram 1000 grams
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Mnemonic device for remembering prefixes
King (kilo) Hector (hecto) Drinks (deka) Ultra (unit) Delicious (deci) Chocolate (centi) Milk (milli)
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Converting: Step by Step process (100g to mg)
1. Write what you HAVE down (100g) 2. If there is no decimal, put it in (100.g) 3. Use the KHDUDCM mnemonic Where you start Where you end up Find how many steps you moved over 4. Move decimal the number of steps and fill in zeros Be sure to put NEW unit in ( mg)
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Let’s try these together…
10 g = ________mg 100kg = _______g 21.3dag=_______g 10g=__________kg 100mg=_______hg 21.3dg=_______g
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Scientific Notation Many quantities that scientists work with are very large or very small values. For example: 3,000,000,000,000,000,000 electrons’ worth of charge pass through a standard light bulb in 1 second kg is the mass of ink used to dot an i in a textbook
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Speed of Light Speed of light: 300,000,000 meters/second
3.00 x 108 m/s
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Size of solar system 45,000,000,000 kilometers 4.50 x 1010 kilometers
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Atom’s Mass grams 1.6 X g
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Scientific Notation (cont)
Scientific Notation is used to make numbers easier to read, write and keep track of. Pointers: Positive exponents show a very large number Negative exponents show a number smaller than 1
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Format # . # x 10 # Exponent Coefficient
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Examples of positive notation
Try these: 48 = 5,290=
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Examples of Negative Notation
Try these: = = =
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