2. V. Units of Measurement VI. Metric System

3.  Quantity - number + unit UNITS MATTER!!

4. QuantityBase UnitAbbrev. Length Mass Time Temp meter kilogram second kelvin m kg s K Amountmolemol Symbol l m t T n

6. mega-M1x10 6 deci-d1x10 -1 centi-c1x10 -2 milli-m1x10 -3 Prefix Symbol Factor micro-  1x10 -6 nano-n1x10 -9 kilo-k1x10 3 BASE UNIT---

7.  457 dm = km  457 dm = mm

8. 1) 20 cm = ______________ m 2) 0.032 L = ______________ mL 3) 45 km = ______________ dm 4) 805 cm = ______________ km 0.2 0.00805 450,000 32

9. VII. Dimensional Analysis

10. 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

11.  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.

12.  In algebra abWhat do we do? b  In sciencecalled factor-label method ◦ Units, or “labels” are canceled, or “factored” out

13. Your European hairdresser wants to cut your hair 8.0 cm shorter. How many inches will he be cutting off?

14. 8.0 cm1 in 2.54 cm = 3.2 in

15. How many milliliters are in 1.00 quart of milk?

16.  How many milliliters are in 1.00 quart of milk? 1.00 qt 1 L 1.057 qt = 946 mL qtmL 1000 mL 1 L

17. Eastview football needs 550 cm for a 1 st down. How many yards is this?

18. 550 cm 1 in 2.54 cm = 6.0 yd cmyd 1 ft 12 in 1 yd 3 ft

19. A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire?

20. 1.3 m 100 cm 1 m = 86 pieces mpieces 1 piece 1.5 cm

21.  You have 1.5 pounds of gold. Find its volume in cm 3 if the density of gold is 19.3 g/cm 3.

22. lbcm 3 1.5 lb 1 kg 2.2 lb = 35 cm 3 1000 g 1 kg 1 cm 3 19.3 g

23. 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.)

24.  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 cm 3 to mm 3 4.3 cm 3 (10 mm) 3 (1 cm) 3 (1 cm) 3 = 4.3 cm 3 10 3 mm 3 1 3 cm 3 = 4300 mm 3

25. 1000 cm 3 (1 dm) 3 (10 cm) 3 = 1 dm 3 So, a dm 3 is the same as a Liter ! A cm 3 is the same as a milliliter.

26.  How many liters of water would fill a container that measures 75.0 in 3 ?

27. 75.0 in 3 (2.54 cm) 3 (1 in) 3 = 1.23 L in 3 L 1 L 1000 cm 3