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West Valley High School
Chapter MEASUREMENT Unit Conversions West Valley High School General Chemistry Mr. Mata
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Dimensional Analysis The “Factor-Label” Method
Units, or “labels” are canceled, or “factored” out.
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Dimensional Analysis Steps: 1. Identify starting & ending units.
2. Line up conversion factors so units cancel. 3. Multiply all top numbers & divide by product of bottom numbers. 4. Check units & final answer.
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Dimensional Analysis 1 in = 2.54 cm = 1 2.54 cm 2.54 cm 1 in = 2.54 cm
Lining up conversion factors: = 1 1 in = 2.54 cm 2.54 cm cm 1 = 1 in = 2.54 cm 1 in in
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Dimensional Analysis 8 cm 1 in 2.54 cm = 3.1 in cm in
Your European hairdresser wants to cut your hair 8 cm shorter. How many inches will he be cutting off? cm in 8 cm 1 in 2.54 cm = 3.1 in
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Dimensional Analysis 1 qt 1 L 1.057 qt 1000 mL 1 L = 946 mL qt mL
How many mL are in 1 quart of milk? qt mL 1 qt 1 L 1.057 qt 1000 mL 1 L = 946 mL
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Dimensional Analysis 75 in3 2.54 cm3 1 in3 1 L 1000 cm3 = 0.19 L in3 L
How many liters of water would fill a container that measures 75 in3? in3 L 75 in3 2.54 cm3 1 in3 1 L 1000 cm3 = 0.19 L
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Dimensional Analysis 1.3 m 100 cm 1 m 1 piece 1.5 cm = 87 pieces m
A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire? m pieces 1.3 m 100 cm 1 m 1 piece 1.5 cm = 87 pieces
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Dimensional Analysis 1.5 lb 1 kg 2.2 lb 1000 g 1 kg 1 cm3 19.3 g
You have 1.5 pounds of gold. Find its volume in cm3 if the density of gold is 19.3 g/cm3. lb cm3 1.5 lb 1 kg 2.2 lb 1000 g 1 kg 1 cm3 19.3 g = 35 cm3
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Dimensional Analysis 550 cm 1 in 2.54 cm 1 ft 12 in 1 yd 3 ft = 6.0 yd
West Valley football needs 550 cm for a 1st down. How many yards is this? cm yd 550 cm 1 in 2.54 cm 1 ft 12 in 1 yd 3 ft = 6.0 yd
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Chapter 2 SUTW Prompt Describe how measurements of SI units, conversion factors, & dimensional analysis are used. Complete a 8-10 sentence paragraph using the SUTW paragraph format. Hilite using green, yellow, and pink. Due Date: Tuesday, August 16, 2016 in your Interactive Notebook (INB) (output side; left side of page).
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