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MEASUREMENT

MEASUREMENT. Unit Conversions. Dimensional Analysis. The “Factor-Label” Method Units, or “labels” are canceled, or “factored” out. Dimensional Analysis. Steps: 1. Identify starting & ending units. 2. Line up conversion factors so units cancel.

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MEASUREMENT

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  1. MEASUREMENT Unit Conversions

  2. Dimensional Analysis • The “Factor-Label” Method • Units, or “labels” are canceled, or “factored” out

  3. Dimensional Analysis • Steps: 1. Identify starting & ending units. 2. Line up conversion factors so units cancel. 3. Multiply all top numbers & divide by each bottom number. 4. Check units & answer.

  4. Dimensional Analysis • Lining up conversion factors: = 1 1 in = 2.54 cm 2.54 cm 2.54 cm 1 = 1 in = 2.54 cm 1 in 1 in

  5. qt mL  Dimensional Analysis • How many milliliters are in 1.00 quart of milk? 1 L 1.057 qt 1000 mL 1 L 1.00 qt = 946 mL

  6. lb cm3 Dimensional Analysis • You have 1.5 pounds of gold. Find its volume in cm3 if the density of gold is 19.3 g/cm3.

  7. in3 L Dimensional Analysis • How many liters of water would fill a container that measures 75.0 in3? =

  8. cm in B. Dimensional Analysis 5) Your European hairdresser wants to cut your hair 8.0 cm shorter. How many inches will he be cutting off?

  9. cm yd Dimensional Analysis 6) Hammonton football needs 550 cm for a 1st down. How many yards is this?

  10. m pieces Dimensional Analysis 7) A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire?

  11. mi/hr m/s Dimensional Analysis 8) The speed limit on my street is 35 mph, what is that equivalent to in m/s ?

  12. g/cm3 lb/ft3 Dimensional Analysis 9) The Density of Copper is 8.9g/cm3. What is its density in lb/ft3 ?

  13. your value accepted value Percent Error • Indicates accuracy of a measurement

  14. % error = Percent Error • A student determines the density of a substance to be 1.40 g/mL. Find the % error if the accepted value of the density is 1.36 g/mL.

  15. y y x x Proportions • Direct Proportion • Inverse Proportion

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