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ORGANIZED APPROACH TO PROBLEM SOLVING USING UNITS

Factor Label/ Conversions/ Dimensional Analysis. ORGANIZED APPROACH TO PROBLEM SOLVING USING UNITS. 1. What unit do you need? 2. What information is given? 3. What conversion factors do you need?. 3 QUESTIONS TO ANSWER. CONVERSION FACTOR:. CONVERSION BETWEEN 1 UNIT AND

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ORGANIZED APPROACH TO PROBLEM SOLVING USING UNITS

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  1. Factor Label/ Conversions/ Dimensional Analysis ORGANIZED APPROACH TO PROBLEM SOLVING USING UNITS

  2. 1. What unit do you need? 2. What information is given? 3. What conversion factors do you need? 3 QUESTIONS TO ANSWER

  3. CONVERSION FACTOR: CONVERSION BETWEEN 1 UNIT AND ANOTHER; ANY TWO THINGS THAT ARE EQUAL. EX: 16 oz. = 1 lb 1 km = 1000 M 1.06 qt = 1 L

  4. Look at the example: Ex: ? cm are there in 30 ft? ?cm = 30 ft 12 in 2.54 cm = 914.4 cm 1 1 ft 1 in What pattern do you notice?

  5. ? Units wanted = 1. ALWAYS START WITH "? units wanted”

  6. ? Units wanted = 2. Write Given quantity on top Given quantity

  7. ? Units wanted = 3. Write matching conversion factor on bottom of next parenthesis Given quantity Matching conversion factor

  8. ? Units wanted = Wanted unit of conversion factor 4. Put wanted unit of conversion factor on top! Given quantity Matching conversion factor

  9. ? Units wanted = Wanted unit of conversion factor 5. Multiply everything on top, and divide by everything on bottom! Given quantity Matching conversion factor *In calculator type: (multiply everything on top) / (multiply everything on bottom) = your answer with units wanted!

  10. *You must have the same unit on top in the first parenthesis, as you do in the bottom of the next parenthesis!! *Diagonal Units: must cancel out! ? Units wanted = given quantity Units wanted Matching conversion factor: MUST be in SAME UNIT as your Given Quantity!!!!!!!!!!

  11. ? Units wanted = Units wanted! Given quantity Some unit • You can also do this with multiple conversion factors! Matching conversion factor Some unit conversion factor • Start with same steps as before, but your first conversion factor may not have the wanted unit on top. • You may need to use many conversion factors to get to the unit wanted!!

  12. Always make sure that diagonal units cancel out!!! Lets do some examples!!!!!!!!!

  13. Example Problems: • ? Seconds has a 16 year old lived • ? Lbs is a 200,000g sumo wrestler • ? Warps are there in 9x1012 wags 1 wag = 95 zooms 1000 warps = 1 dirg 67 zooms = 1 dirg • Jeff drove 2 x 103cm/sec to school, which is 9miles away. How many min did it take to get to school? 12in = 1ft 1in = 2.54cm 5280ft = 1mile • Susan drank 32 lbs of soda. If soda has a density of 0.999g/cm3, how many qts did she drink? 1 lb = 454g 1 cm3 = 1 mL 1 qt = 946 mL

  14. ' Base Units: LENGTH - m - meter MASS - kg - kilogram TIME - s - seconds TEMP - K - Kelvin AMOUNT - mole - molecular units SI UNITS: SYSTEME INTERNATIONALE

  15. 10-1 - d - deci 106 - M - mega SI Units: based on powers of 10--METRIC PREFIXES 103 - k - kilo 10-2 - c - centi 102 - h - hecto 10-3 - m - milli 101 - da - deka 10-6 - m - micro 10-9 - n - nano - meter 100 - BASE - liter - grams 10-12 - p - pico

  16. MANY KIDS HAVE DROPPED OVER DEAD CONVERTING METRICS Now you create your own!!!

  17. Write ? Unit looking for Write given quantity on top Use matching conversion factor: METRIC TO METRIC CONVERSION RULES:

  18. 3. Use matching conversion factor: • Place given unit on bottom • Place desired unit on top • Put a 1 in front of the bigger metric unit • Put a (+) positive power of 10 on the smaller metric unit METRIC TO METRIC CONVERSION RULES:

  19. Cancel all diagonal units (except for the one you are looking for Multiply everything above the line and divide by everything below the line. METRIC TO METRIC CONVERSION RULES:

  20. HINTS: 1. Go from given unit to base unit 2. Go from base unit to unit wanted 3. Always use a (+) positive exponent number 4. Put the (+) exponent number on the smaller unit METRIC TO METRIC CONVERSION RULES:

  21. 8 km = ______ cm ? cm =

  22. 8 km = ______ cm ? cm = 8 km

  23. 8 km = ______ cm 1000 m 8 km ? cm = 1 km

  24. 8 km = ______ cm 1000 m 8 km 100 cm ? cm = 1 km 1 m

  25. 8 km = ______ cm 8 km 1000 m 100 cm 1 km 1 m 800,000 cm 1 = ? cm =

  26. EXAMPLE OF METRIC TO METRIC CONVERSIONS • ? cm are in 5km • ? ng are in 6.2 x 1012dg • ? hL are in 5mL?

  27. 2.54 cm = 1 inch 454 g = 1 lb. 1.06 qt. = 1 L METRIC - ENGLISH CONVERSIONS 3 1 mL = 1 cm

  28. 16 oz = 1 pound (lb) 12 in. = 1 ft 3 ft = 1 yd 4 qts = 1 gal 5280 ft = 1 mile ENGLISH CONVERSIONS

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