Learning Plan 4 Chapter 9

Transcription

1 Learning Plan 4 Chapter 9 Question The population of a country reached million people. The total area is 3.25 million square miles. What is the population density for the country? Round to the nearest hundredth million people million square miles Question 2 A dinosaur is 87 feet long. Convert the length to meters. Round to the nearest hundredth. foot = cm meter = 00 centimeters 87 ft cm ft = cm = m 26.5 m (You are multiplying 88 and 30.48, then you are moving the decimal point two places to the left, then you round to two decimal places). Question 3 Table 9.2 Commonly Used Units of Linear Measure in the Metric System. (p. 578) Question 4 Convert 3 yd to inches. yd = 36 in 3 yd 36 in yd = 08 in (You are multiplying 3 and 36).

2 Question 5 Convert 25,930 ft to mi mi = 5280 ft 25,930 ft mi mi 5280 ft (You are dividing ) Question 6 Convert 6.8 hm to m 6.8 hm 00 = 680 m (You are moving the decimal point two places to the right) Question 7 Convert 34 in. to cm. Round to the nearest hundredth. in. = 2.54 cm 34 in cm in. = cm (You are multiplying 34 and 2.54). 2

3 Question 8 Convert 25 km to mi. Round to the nearest hundredth. mi.6 km 25 km m = mi mi.6 km (You are dividing 25.6) Question 9 Use the unit fractions hundredth. 36 in. yd and 2.54 cm in. to convert 3 yd to cm. Round to the nearest 3 yd 36 in yd 2.54 cm in = cm (You are multiplying ) Question 0 Use the unit fractions second ft mi, 60 min hr and 60 sec min to convert 480 miles per hour in feet per 480 mi hr 5280 ft mi hr 60 min min ft = sec sec (You are performing the following: ) 3

4 Question Lengths of different objects (p. 579) Question 2 Volume and capacity in the Metric System (p. 59) Question 3 Measuring Volume (p. 589) Question 4 Use table 9.5, along with dimensional analysis, to approximately convert the given unit to unit indicated. Where necessary, round answers to two decimal places. 0,000 ft 3 = 0,000 ft 3 to gal 0,000 ft gal ft 3 74,800 gal 4

5 Question 5 Use table 9.7, along with dimensional analysis, to convert the given unit to unit indicated. 45,000 cm 3 = 45,000 cm 3 to L 45,000 cm3 L = 45 L 000 cm3 Question 6 Use table 9.7, along with dimensional analysis, to convert the given unit to unit indicated. 5 cm 3 to ml Because cm 3 = ml, 5 cm 3 = 5 ml 5

6 Question 7 Find the population density, to the nearest tenth, for each of the following states. Which state has the greatest population density? How many more people per square mile inhabit the state with the greater density than inhabit the state with the lesser density? State A population: 2,2,577 area: 46,406 mi 2 State B population:,99,363 area: 40,290 mi 2 Which state has the greater population density? How many more people per square mile inhabit the state with the greater density than inhabit the state with the lesser density? Find the population density for state A (round to the nearest tenth): 2,2,577 46,406 = 26.2 people per square mile. Find the population density for state B (round to the nearest tenth):,99,363 40,290 = people per square mile = 36.4 State B has the greater population density by 36.4 people per square mile. Question 8 In the exercise below, use the following equivalents, along with the dimensional analysis, to convert the given measurement to the unit indicated. 6 oz = lb 2000 lb = T oz 28 g lb 0.45 kg T 0.9 t 36 oz to g 36 oz = 36 oz 28 g oz = 008 g 6

7 Question 9 Convert the given Celsius temperature to its equivalent temperature on the Fahrenheit scale. Where appropriate, round to the nearest tenth of a degree. 35 F = 9 C = F = 95 Question 20 Estimate the area of the top surface of a laptop. My laptop is about 20 cm wide and 30 cm long. To find the area, I multiply these two numbers: = 600 cm 2 So, I can say that I estimated the area of the top surface of my laptop, and it approximately 600 cm 2. 7

8 Question 2 Use dimensional analysis to convert the given square unit to the square unit indicated. Where necessary, round to two decimal places. 60 m 2 to yd m 2 = 60 m2 yd2 = 75 yd2 0.8 m2 (You are dividing ) Question 22 Use the fact that a solid with a volume of 000 cubic centimeters has a capacity of liter, along with dimensional analysis, to convert the given unit to the unit indicated ml to cm 3. Because ml = cm 3, ml = cm 3 8

9 Question 23 If freight carrier charges 57 cents for a package up to one ounce and 38 cents for each additional ounce or fraction of an ounce, find the cost of shipping a package that weighs 252 grams. Question g oz 28 g = 9 oz = 36 cents = $3.6 Select the best estimate for the weight of a person. In the metric system, the weight is measured in kilograms. 9