Practise Problems for Measurement and Units 2) A useful method of expressing very small or very large numbers is 2) _______ A) roman numerals. B) arabic numerals. C) the metric system. D) scientific notation. 3) Select the list which contains only SI basic units. 3) _______ A) candela, kelvin, meter, second B) joule, kelvin, kilogram, watt C) liter, meter, second, watt D) joule, newton, second, watt 4) How many basic units does the SI system have? 4) _______ A) ten B) seven C) four D) five 5) The metric prefix for one one-hundredth is 5) _______ A) kilo. B) milli. C) mega. D) centi. 6) The metric prefix for one thousand is 6) _______ A) centi. B) kilo. C) milli. D) mega. 7) Express the number 0.02 days using a prefix of Table 1-4. 7) _______ A) 2 decidays B) 2 microdays C) 2 millidays D) 2 centidays 8) What is the conversion factor between km/ and m/ ? 8) _______ m/ B) 3.60 m/ A) 7.72 × m/ D) 2.78 × m/ C) 1.30 × 9) The position, x, of an object is given by the equation x = A + Bt +C , where t refers to time. What are the dimensions of A, B, and C? 9) _______ A) distance, time, B) distance/time, distance/, distance/ C) distance, distance, distance D) distance, distance/time, distance/ 10) The number of significant figures in 10001 is 10) ______ A) five. B) three. C) two. D) six. 11) The number of significant figures in 0.040 is 11) ______ A) four. B) one. C) three. D) two. 12) Which of the following has three significant figures? 12) ______ A) 305.0 cm B) 0.0500 mm C) 8.060 × 1011 m2 D) 1.00081 kg 13) What is the sum of 2.67 + 1.976 + 2.1? 13) ______ A) 6.746 B) 6.75 C) 6.7460 D) 6.7 14) What is the product of 12.56 and 2.12? 14) ______ A) 26.6 B) 27 C) 26.23 D) 26.627 15) The length and width of a rectangle are 1.125 m and 0.606 m, respectively. You calculate the rectangle's perimeter by adding these and multiplying by two. Your calculator's display reads 3.462. To the correct number of significant figures, this should be written as 15) ______ A) 3.46 m. B) 3.5 m. C) 3.4620 m. D) 3.462 m. 16) A rectangle is 3.25 m long and 1.5 m wide. What is its area? 16) ______ A) 4.9 m2 B) 4.80 m2 C) 4.875 m2 D) 4.87 m2 17) A rectangular garden measures 15 m long and 13.7 m wide. What is the length of a diagonal from one corner of the garden to the other? 17) ______ A) 19 m B) 4.1 × 102 m C) 18 m D) 20 m 18) Select the smallest value. 18) ______ A) 15 × 10-3 B) 0.00015 × 103 C) 0.15 × 100 D) 0.00000015 × 106 19) Write the number 0.00045 in power of ten notation. 19) ______ A) 4.5 × 10-1 B) 4.5 × 10-3 C) 4.5 × 10-4 D) 4.5 × 10-2 20) 0.0001776 can also be expressed as 20) ______ A) 17.72 × 104. B) 177.2 × 107. . D) 1.776 × 10-4. C) 1772 × 21) Convert 1.2 × 10-3 to decimal notation. 21) ______ A) 1.200 B) 0.0012 C) 0.0120 D) 0.1200 22) Write the number 13.5 gigameters as full (decimal) numbers with standard units. 22) ______ A) 13,500,000,000 m B) 135,000 m C) 135,000,000 m D) 135,000,000,000 m 23) 100 mL is equivalent to which of the following? 23) ______ A) 1 kL B) 0.01 ML C) 10-6 μL D) 0.1 L 24) How many meters is sixty kilometers? 24) ______ A) 60 m B) 0.0 6 m C) 60,000 m D) 600,000 m 25) 1 angstrom = 10-10 m and 1 fermi = 10-15 m, what is the relationship between these units? 25) ______ A) 1 angstrom = 10+25 fermi B) 1 angstrom = 105 fermi C) 1 angstrom = 10-25 fermi D) 1 angstrom = 10-5 fermi 26) If you are 5'10'' tall, what is your height in meters? (1 in = 2.54 cm.) 26) ______ A) 1.5 m B) 1.7 m C) 1.6 m D) 1.8 m 27) The average life of an animal is 70 years. Assume one significant figure, write this in power of ten in seconds. 27) ______ A) 2 × 107 s B) 3 × 109 s C) 2 × 109 s D) 3 × 107 s 28) How many m/s is 50 mi/h equivalent to? (1 mi = 1609 m.) 28) ______ A) 22 m/s B) 45 m/s C) 49 m/s D) 2.2 m/s 29) A ball has a radius of 3.23 cm. What is the volume of the ball in m3? 29) ______ A) 1.41 B) 1.41 × 10-4 C) 4.23 D) 4.23 × 10-4 30) The average density of blood is 1.06 × 10 3 kg/m3. If you donate a pint of blood to the Red Cross, what mass of blood have you donated, in grams? (1 pt = 1/2 L, 1 L = 1000 cm3.) 30) ______ A) 0.530 g B) 530 g C) 5300 g D) 5.30 × 105 g 31) Concrete is sold by the cubic yard. What is the mass, in kilograms, of one cubic yard of concrete that is five times as dense as water? (1 m = 1.094 yd, and 1 m3 of water has a mass of 1,000 kg.) 31) ______ A) 6.55 × 103 kg B) 764 kg C) 3.82 × 103 kg D) 2.42 × 103 kg Answers 2) D 3) A 4) B 5) D 6) B 7) D 8) A 9) D 10) A 11) D 12) B 13) D 14) A 15) D 16) A 17) D 18) A 19) C 20) D 21) B 22) A 23) D 24) C 25) B 26) D 27) C 28) A 29) B 30) B 31) C More problems to practise 1. A sphere with a radius of 1.7 cm has a surface area of: A) 2.1 10–5 m2 B) 9.1 10–4 m2 C) 3.6 10–3 m2 D) 0.11 m2 E) 36 m2 2. A sphere with a radius of 1.7 cm has a volume of: A) 2.1 10–5 m3 B) 9.1 10–4 m3 C) 3.6 10–3 m3 D) 0.11 m3 E) 21 m3 3. A right circular cylinder with a radius of 2.3 cm and a height of 1.4 m has a volume of: A) 0.20 m3 B) 0.14 m3 C) 9.3 10–3 m3 D) 2.3 10–3 m3 E) 7.4 10–4 m3 4. A right circular cylinder with a radius of 2.3 cm and a height of 1.4 cm has a total surface area of: A) 1.7 10–3 m2 B) 3.2 10–3 m2 C) 2.0 10–3 m3 D) 5.3 10–3 m2 E) 7.4 10–3 m2 5. A cubic box with an edge of exactly 1 cm has a volume of: A) 10–9 m3 B) 10–6 m3 C) 10–3 m3 D) 103 m3 E) 106 m3 6. During a short time interval the speed v in m/s of an automobile is given by v = at2 bt3, where the time t is in seconds. The units of a and b are respectively: A) m · s2; m · s4 B) s3/m; s4/m C) m/s2; m/s3 D) m/s3; m/s4 E) m/s4; m/s5 Answer Key 1. 2. 3. 4. 5. 6. C A D D B D