Section 2.3: Conversions Factors and Unit Rates

Transcription

1 CHAPTER 2 CLASS NOTES Name Period Date Metric (International) Units: s 1 s 1 kilometer meters 1 meter decimeters 1 meter centimeters 1 meter millimeters These conversions are also true for grams and liters. See below. 1 kilogram grams 1 liter centiliters US Units: 1 mile kilometers 1 mile 1 foot inches 1 gallon liters 1 gallon quarts 1 quart pints 1 inch centimeters Some conversions might be well known (you are expected to know them) and some of them will be given to you. See below. 1 week days 1 euro 1.25 dollars Use the unit conversions shown above to rewrite each problem in the units indicated. If needed, you may use a calculator. a) Express 2 meters in centimeters. b) Express 8 liter in milliliters. c) Express 5 kilometers in miles. d) Express 16 liters in gallons. e) Express 30 miles per hour in kilometers per. f) Express 25 liters per in gallons per. g) Express 48 inches per in per hour. h) Express 20 gallons per hour in quarts per.

2 CHAPTER 2 HOMEWORK Name Period Date Use the unit conversions on the other side of this paper to rewrite each problem in the units indicated. If needed, you may use a calculator. a) Express 5 decimeters in meters. b) Express 12 gallons in liters. c) Express 30 grams in kilograms. d) Express 25 centiliters in liters. e) Express 45 kilometers per hour in miles per. f) Express 34 gallons per in quarts per. g) Express 150 miles per hour in per. h) Express 75 pints per in gallons per hour. i) Express 6,500,000 inches per hour in miles per. j) Usain Bolt ran the 100 meters final at the 2012 London Olympics in 9.63 s. That is a speed of meters per. Express his speed in miles per hour. k) Michael Phelps can swim the 100 meters butterfly at a speed of 7.2 kilometers per hour. Express his speed in miles per hour. Who is faster, Phelps or Bolt? l) A motel in Paris charges 500 euros per week of stay. You would like to stay 10 days. Express the cost of the motel in dollars per day. m) A one-quart bottle of water in Disneyland costs $2.50. That is a price of 2.5 dollars per quart. Express this price in euros per liter.

3 CHAPTER 2 CLASS NOTES Name Period Date Metric (International) Units: 60 s 1 60 s 1 kilometer 1000 meters 1 meter 10 decimeters 1 meter 100 centimeters 1 meter 1000 millimeters These conversions are also true for grams and liters. See below. 1 kilogram 1000 grams 1 liter 100 centiliters US Units: 1 mile 1.6 kilometers 1 mile foot 12 inches 1 gallon 3.8 liters 1 gallon 4 quarts 1 quart 2 pints 1 inch 2.54 centimeters Some conversions might be well known (you are expected to know them) and some of them will be given to you. See below. 1 week 7 days 1 euro 1.25 dollars Use the unit conversions shown above to rewrite each problem in the units indicated. If needed, you may use a calculator. a) Express 2 meters in centimeters. 100 centimeters 2 meter 200 centimeters 1 meter b) Express 8 liter in milliliters. 8 liters c) Express 5 kilometers in miles. 5 kilometers d) Express 16 liters in gallons milliliters 1 liter 1 mile 1.6 kilometers liters 1 gallon 3.8 liters e) Express 30 miles per hour in kilometers per. 30 miles 1.6 kilometers 1 mile 60 f) Express 25 liters per in gallons per milliliters miles miles gallons gallons kilometers 0.8 kilometers

4 25 liters 1 1 gallons 60 s 3.8 liters 1 g) Express 48 inches per in per hour. 48 inches 1 1 foot 60 s 60 s 12 inches 1 h) Express 20 gallons per hour in quarts per. 20 gallons gallons gallons liters 1 gallon 4 quarts 1 liter s quarts hour hour quarts

5 CHAPTER 2 HOMEWORK Name Period Date Use the unit conversions on the other side of this paper to rewrite each problem in the units indicated. If needed, you may use a calculator. a) Express 5 decimeters in meters. 1 meter 5 decimeters 0.5 meters 10 decimeters b) Express 12 gallons in liters. c) Express 30 grams in kilograms. d) Express 25 centiliters in liters. 12 gallons 3.8 liters 1 gallon 45.6 liters 30 grams 1 kilogram 0.03 kilograms 1000 grams 25 centiliters e) Express 45 kilometers per hour in miles per. 1 liter 0.25 liters 100 centiliters 45 kilometers 1 mile 1.6 kilometers 60 s 45 miles miles f) Express 34 gallons per in quarts per. 34 gallons 1 4 quarts 60 s 1 gallon 1 g) Express 150 miles per hour in per quarts 8160 quarts 150 miles mile 60 s 1 s 60 s h) Express 75 pints per in gallons per hour. 75 pints 1 1 quart 2 pints 1 gallon 60 s 60 s 4 quarts gallons hour gallons 2 4 hour

6 i) Express 6,500,000 inches per hour in miles per. 6,500,000 inches 1 foot 12 inches 1 mile s 1 s 60 s miles miles j) Usain Bolt ran the 100 meters final at the 2012 London Olympics in 9.63 s. That is a speed of meters per. Express his speed in miles per hour meters 1 1 kilometer 1000 meters 1 miles 60 s 1.6 kilometers miles miles hour hour 60 s k) Michael Phelps can swim the 100 meters butterfly at a speed of 7.2 kilometers per hour. Express his speed in miles per hour. Who is faster, Phelps or Bolt? 7.2 kilometers 1 miles 1.6 kilometers 7.2 miles miles hour hour Usain is more than 5 times faster than Michael! l) A motel in Paris charges 500 euros per week of stay. You would like to stay 10 days. Express the cost of the motel in dollars per day. 500 euros 1 week 1.25 dollars 1 euro 1 week days 7 dollars day dollars day m) A one-quart bottle of water in Disneyland costs $2.50. That is a price of 2.5 dollars per quart. Express this price in euros per liter dollars 1 quart 1 euro 1.25 dollars 4 quarts 1 gallon 1 gallon 3.8 liters euros liter 2.10 euros liter