Scientific math

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a refresher on scientific notation and commonly used SI prefixes in science

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Scientific math

  1. 1. Scientific MathExponential expressions & prefixes
  2. 2. Scientific Notation We use it to express large numbers quickly Use it to express numbers ≥1 or ≤10 ex: 2578 >>>> 2.57 x 103 DON’T write is as 25.7 x 102  Generally, you’ll use it to write really big numbers
  3. 3. “Fudge the Numbers”“I forget which way I move the decimal and theexponent on the 10” If a number is written in scientific notation remember these 2 hints 1. Positive exponents increase (>>>>) the placement of the decimal point when you write it out. 1.456 x 108 = 145,600,000. 2. Negative exponents decrease (<<<<) the placement of the decimal point when you write it out. 2.543 x 10-5 = 0.00002543
  4. 4. “Fudge the Numbers”“I forget which way I move the decimal and theexponent on the 10” If a number is written out remember these 2 hints1. If you have big numbers, you want to “hide them”: $13,000,000,000,000 deficit $1.3 x 10132. If there are really small numbers, you want todownplay that: .001304 jobs increase 1.304 x 10-3 the downplay is a negative exp.
  5. 5. “Fudge the Numbers Planet Miles from sun Miles from sun in (longhand) scientific not. Mercury 35,000,000 Venus 6.5 x 107 Earth 9.3 x 107
  6. 6. RAPID PRACTICE!beat mr. basso 2.847 X 103 3.982 X 104 5.843 X 105 1.457 X 105 5.47 X 106 9.002 X 107
  7. 7. RAPID PRACTICE!beat mr. basso 2.847 X 10-2 3.982 X 10-4 5.843 X 10-5 1.457 X 10-5 5.47 X 10-6 9.002 X 10-7
  8. 8. Prefixesthey’re Mega important Prefixes are used mainly to express numbers with units Ex: 10 millimeters = .01 meters It’s helpful to use the prefixes so we can have a better grasp on what is being measured When talking about how fast a motorcycle is travelling, we don’t want to say it’s speed is 60,000 meters per hour. Instead we say 60 kilometers per hour, or 60 km/h The prefix you use should be most appropriate for the quantity being measured. Don’t measure a snails pace in km/h .0013 km/h , write it as 1.3 meters per hour or 1.3 m/h
  9. 9. Table of Prefixesabove base zero (100) Prefix Multiplied by Symbol Meaning giga 1,000,000,000 G x billion mega 1,000,000 M x million kilo 1,000 k x thousand hecto 100 h x 100 deca 10 da x 10
  10. 10. Table of Prefixesbelow base zero (100) Prefix Multiplied by Symbol Meaning deci -10 d x .1 centi -100 c x .01 milli -1,000 m x .001 micro -1,000,000 μ x .000001 Nano -1,000,000,000 n x .000000001
  11. 11. Practice time 1.21 GigaWatts
  12. 12. Practice time3100 centimeters
  13. 13. Practice time45.089 millimeters
  14. 14. Practice time 9.81 kilograms
  15. 15. Practice time 200 milliWatts
  16. 16. Practice time2.8 nanometers
  17. 17. Practice time 18456 Liters
  18. 18. Practice time .0048 Newtons
  19. 19. Practice time 904535 grams
  20. 20. Practice time 28 meters
  21. 21. Practice time200000000 tons

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