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Measurements

Learn how to read measurements in SI units, understand estimated digits, and convert between different metric units using the ladder method.

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Measurements

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  1. Measurements

  2. SI Units of Measure

  3. Reading Measurements • Always read one place past the graduation markings. This value is called an estimated digit.

  4. Metric Conversions M . . k h D b d c m . . μ . . n . . P King Henry Died by drinking chocolate milk

  5. Scientific Notation

  6. Why do we use it? • To work with LARGE numbers like: 602,000,000,000,000,000,000,000 • To work with small numbers like: 0.000 000 000 000 920 • It’s easier (and less confusing) to put them in scientific notation

  7. What does it look like? M x 10n • “n” is the number of decimal places moved • “M” is a number between 1 and 9.9 • “M” CAN be a decimal (like 3.2)

  8. What do you mean…move the decimal??? If “n” is positive = BIG number 3.0 x 104 “n” = 4 so you move the decimal 4 places to make the number BIG 30000.

  9. If “n” is negative = smallnumber 3.0 x 10-4 “n” = -4 so you move the decimal 4 places to make the number small .0003

  10. Let’s practice . . . 7,000 1) 7 x 103 = • 6.8 x 106 = 3) 1.356 x 10-4 = 4) 7.42 x 10-3 = 6,800,000 .0001356 .00742

  11. How about in reverse? • Can you change a number like 50,000 into scientific notation?

  12. FIRST • Place a decimal in the number that would make it between 1 and 9.9 In this case: 5.0

  13. SECOND • Look at the original number: Is it big or small??? • If it’s LARGER than 1  positive “n” • If it’s SMALLER than 1negative “n”

  14. LAST • How many places did you move the decimal point? this will be your “n” • The decimal moved from: 5.0000 • It moved 4 places, so the exponent is 4 5.0 x 104

  15. Let’s try these! 6.8 x 106 1) 6,800,000 2) 13,430,000 3) 0.03459 1.343 x 107 3.459 x 10-2

  16. Metric Conversions Ladder Method T. Trimpe 2008 http://sciencespot.net/

  17. 1 2 3 MetersLitersGrams How do you use the “ladder” method? 1st – Determine your starting point and ending point. 2nd – Count the “jumps” to your ending point. 3rd – Move the decimal the same number of jumps in the same direction. Starting Point Ending Point __. __. __. 2 3 1 Ladder Method KILO1000Units HECTO100Units DEKA10Units DECI0.1Unit CENTI0.01Unit MILLI0.001Unit 4 km = _________ m How many jumps does it take? 4. = 4000 m

  18. Compare using <, >, or =. 56 cm 6 m 7 g 698 mg Conversion Practice Try these conversions using the ladder method. 1000 mg = _______ g 1 L = _______ mL 160 cm = _______ mm 14 km = _______ m 109 g = _______ kg 250 m = _______ km

  19. Metric Conversion Challenge Write the correct abbreviation for each metric unit. 1) Kilogram _____ 4) Milliliter _____ 7) Kilometer _____ 2) Meter _____ 5) Millimeter _____ 8) Centimeter _____ 3) Gram _____ 6) Liter _____ 9) Milligram _____ Try these conversions, using the ladder method. 10) 2000 mg = _______ g 15) 5 L = _______ mL 20) 16 cm = _______ mm 11) 104 km = _______ m 16) 198 g = _______ kg 21) 2500 m = _______ km 12) 480 cm = _____ m 17) 75 mL = _____ L 22) 65 g = _____ mg 13) 5.6 kg = _____ g 18) 50 cm = _____ m 23) 6.3 cm = _____ mm 14) 8 mm = _____ cm 19) 5.6 m = _____ cm 24) 120 mg = _____ g

  20. Compare using <, >, or =. 25) 63 cm 6 m 27) 5 g 508 mg 29) 1,500 mL 1.5 L 26) 536 cm 53.6 dm 28) 43 mg 5 g 30) 3.6 m 36 cm

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