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There is no such thing as not being “GOOD” at something, it’s all in your willingness to meet the challenge and not give up. MEASUREMENT. V. Units of Measurement VI. Metric System. A. Number vs. Quantity. Quantity - number + unit. UNITS MATTER!!. B. SI Units. Quantity. Symbol. Base Unit.
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There is no such thing as not being “GOOD” at something, it’s all in your willingness to meet the challenge and not give up.
MEASUREMENT V. Units of Measurement VI. Metric System
A. Number vs. Quantity • Quantity - number + unit UNITS MATTER!!
B. SI Units Quantity Symbol Base Unit Abbrev. Length l meter m Mass m kilogram kg Time t second s Temp T kelvin K Amount n mole mol
kilo- mega- M k 1x106 1x103 deci- BASE UNIT --- d 1x10-1 centi- c 1x10-2 milli- m 1x10-3 micro- 1x10-6 nano- n 1x10-9 C. Metric Prefixes Symbol Prefix Factor
D. SI Prefix Conversions • 457 dm = km • 457 dm = mm
D. SI Prefix Conversions 0.2 1) 20 cm = ______________ m 2) 0.032 L = ______________ mL 3) 45 km = ______________ dm 4) 805 cm = ______________ km 32 450,000 0.00805
MEASUREMENT VII. Dimensional Analysis
TO KNOW You will be using these converstions throughout the year, so its best to take the time to memorize them now. 1.00 in = 2.54 cm 2.2 lbs = 1.00 kg 1.1 qts = 1.00 L metric from earlier table
B. 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 hit enter. 4. Check units & answer.
B. Dimensional Analysis • In algebra ab What do we do? b • In science called factor-label method • Units, or “labels” are canceled, or “factored” out
B. Dimensional Analysis Your European hairdresser wants to cut your hair 8.0 cm shorter. How many inches will he be cutting off?
B. Dimensional Analysis Your European hairdresser wants to cut your hair 8.0 cm shorter. How many inches will he be cutting off? 8.0 cm 1 in 2.54 cm = 3.2 in
B. Dimensional Analysis How many milliliters are in 1.00 quart of milk?
qt mL B. 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
B. Dimensional Analysis Eastview football needs 550 cm for a 1st down. How many yards is this?
cm yd B. Dimensional Analysis Eastview football needs 550 cm for a 1st down. How many yards is this? 1 ft 12 in 1 yd 3 ft 1 in 2.54 cm 550 cm = 6.0 yd
B. Dimensional Analysis A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire?
m pieces B. Dimensional Analysis A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire? 1 piece 1.5 cm 100 cm 1 m 1.3 m = 86 pieces
B. Dimensional Analysis • You have 1.5 pounds of gold. Find its volume in cm3 if the density of gold is 19.3 g/cm3.
lb cm3 B. Dimensional Analysis • You have 1.5 pounds of gold. Find its volume in cm3 if the density of gold is 19.3 g/cm3. 1 cm3 19.3 g 1 kg 2.2 lb 1000 g 1 kg 1.5 lb = 35 cm3
REAL LIFE!!!! A favorite item at the fair is bacon on a stick. If each stick holds approximately 0.15kg of bacon and the booth serves an average of 45 people an hour, how many pounds of bacon are consumed in the 12 days of the fair? (The gates open at 6:00am and close at midnight.)
Square/Cubic Units • Use the conversion factors you already know, but when you square or cube the unit, don’t forget to cube the number also! • Best way: Square or cube the ENITRE conversion factor • Example: Convert 4.3 cm3 to mm3 4.3 cm3 (10 mm) 3 (1 cm) 3 4.3 cm3 103 mm3 13 cm3 = = 4300 mm3
Volumes 1000 cm3 (1 dm)3 (10 cm)3 = 1 dm3 So, a dm3 is the same as a Liter ! A cm3 is the same as a milliliter.
Volumes • How many liters of water would fill a container that measures 75.0 in3?
in3 L Volumes • How many liters of water would fill a container that measures 75.0 in3? 1 L 1000 cm3 (2.54 cm)3 (1 in)3 75.0 in3 = 1.23 L