1. The Metric System

2. a little more than a quart volumeLliter about 2.2 pounds masskgkilogram a little more than a yard lengthmmeter Comparison to Customary Common Use Abbre v Metric Term

3. 1/1000 of base unit mmilli 1/100 of base unit ccenti 1/10 of base unitddeci base unit 10  base unitdadeka 100  base unithhecto 1000  base unitkkilo MeaningSymbolPrefix

4.  To change from a smaller unit to a larger unit move the decimal point to the left.  To change from a larger unit to a smaller unit move the decimal point to the right.

5. Measure of length kilometerhectometerdekameter Symbolkmhmdam Number of meters 1000 m100 m10 m Measure of length meterdecimetercentimetermillimeter Symbolmdmcmmm Number of meters 1 m0.1 m0.01 m0.001 m

6.  Convert 54.6 m to km.  Convert 15 L to mL.  Convert 0.89 kg to cg. Solutions:  Meters is a smaller unit than km. Move the decimal 3 places to the left, 0.0546 km.  Liter is a larger unit than milliliter. Move the decimal point 3 places to the right, 15,000 mL.  Kilogram is a larger unit than centigram. Move the decimal point 5 places to the right 0.89 kg = 89,000 cg

7. A case of fruit juice contains twenty-four 0.75 liter bottles. How many 250 milliliter glasses can you fill using one case of juice? Solution: The case of juice contains 24(0.75) = 18 L. Converting 18 L = 18,000 mL. If each glass hold 250 mL, then glasses can be filled.

8.  Areas are always expressed in square units. Example: The length of a rectangular park is 82.5 m, and its width is 25.4 m. Find the area of the park. Solution: Area = length  width.

9.  Three dimensions: ◦ Length ◦ Width ◦ Height 1 m 3 = 1 kL 1 dm 3 = 1 L 1 cm 3 = 1 mL Volume in LitersVolume in Cubic Units

10. A cylindrical shampoo bottle has a diameter of 6 cm and a height of 12 cm. What is the volume in milliliters? Solution:

11. Volume in Cubic Units 1 m 3 = 1 kL = 1 t (1000 kg) 1 dm 3 = 1 L = 1 kg 1 cm 3 = 1 mL = 1g Mass of WaterVolume in Liters

12. A fish tank is 1 m long, 60 cm high and 260 mm wide.  Determine the number of liters that the tank holds.  What is the mass of the water in kilograms.

13. Solution:  Since 1 m 3 of water = 1 kL of water, 0.156 m 3 = 0.156 kL, or 156 liters of water  Since 1L = 1 kg, 156 L = 156 kg of water.

14.  To covert from Celsius to Fahrenheit use the following formula.  To covert from Fahrenheit to Celsius use the following formula.

15. The air temperature on a warm summer day is about 85ºF. What is the equivalent temperature on the Celsius thermometer?  Solution: The equivalent temperature is about 29.4ºC.

16. The temperature of a cold glass of milk is about 5ºC. What is the equivalent temperature on the Fahrenheit thermometer?  Solution: The equivalent temperature is about 41ºF.

17.  Examples of unit fractions:

18. 1 pint = 2 cups 1 year = 365 days 1 cup (liquid) = 8 fluid ounces 1 day = 24 hours1 ton = 2000 pounds 1 hour = 60 minutes 1 pound = 16 ounces 1 minute = 60 seconds 1 mile = 5280 feet 1 gallon = 4 quarts1 yard = 3 feet 1 quart = 2 pints1 foot = 12 inches U.S. Customary Units

19.  A recipe calls for 8 cups of blueberries. How many pints is this? Solution:  Convert 75 miles per hour to inches per minute. Solution:

20. LENGTH U.S. to Metric 1 inch (in.) ≈ 2.54 centimeters (cm) 1 foot (ft) ≈ 30 centimeters (cm) 1 yard (yd) ≈ 0.9 meter (m) 1 mile (mi) ≈ 1.6 kilometers (km)

21. Conversion to and from the Metric System - Area AREA U.S. to Metric 1 square inch (in. 2 ) ≈ 6.5 square centimeters (cm 2 ) 1 square foot (ft 2 ) ≈ 0.09 square meter (m 2 ) 1 square yard (yd 2 ) ≈ 0.8 square meter (m 2 ) 1 square mile (mi 2 ) ≈ 2.6 square kilometers (km 2 ) 1 acre ≈ 0.4 hectare (ha)

22. Conversion to and from the Metric System - Volume VOLUME U.S. to Metric 1 teaspoon (tsp) ≈ 5 milliliters (m l ) 1 tablespoon (tbsp) ≈ 15 milliliters (m l ) 1 fluid ounce (fl oz) ≈ 30 milliliters (m l ) 1 cup (c) ≈ 0.24 liter ( l ) 1 pint (pt) ≈ 0.47 liter ( l )

23. Conversion to and from the Metric System - Volume VOLUME U.S. to Metric 1 quart (qt) ≈ 0.95 liter ( l ) 1 gallon (gal) ≈ 3.8 liters ( l ) 1 cubic foot (ft 3 ) ≈ 0.03 cubic meter (m 3 ) 1 cubic yard (yd 3 ) ≈ 0.76 cubic meter (m 3 )

24. Conversion to and from the Metric System - Weight (Mass) WEIGHT OR MASS U.S. to Metric 1 ounce (oz) ≈ 28 grams (g) 1 pound (lb) ≈ 0.45 kilogram (kg) 1 ton (T) ≈ 0.9 tonne (t)

25.  A gas tank holds 22.6 gallons of gas. How many liters is this? Solution:  The area of a box is 14.25 in 2. What is its area in square centimeters? Solution:

26. A road in Toronto, Canada shows that the speed limit is 62 kph. Determine the speed in miles per hour. Solution:  Since 62 km equals 38.75 mi, 62 kph is equivalent to 38.75 mph.