Answers Unit 1 Numbers, Variables, And Equations, Page 4
AnswersUnit 1 Numbers, Variables, andEquations, page 4c) For example: About 840 000; I assumed the percentsSkills You’ll Need, page 61. a) 43b) 27c) 722. a) 5 5 5 5; 625d) 125b) 11 11; 121c) 2 2 2 2 2 2 2 2; 256d) 12 12 12; 17283. a) 33b) 6233e) 5f) 24c) 82, 43, 26 d) 22g) 737h) 252, 54384. a) i) 10ii) 10iii) 10iv) 10b) For example: The exponent equals the number ofzeros when the number is written in standard form.The exponent equals the number of 10s when thenumber is written in expanded form.5. a) 10 000b) 1 000 000c) 10 000 000 000d) 1 000 000 000 000210 1008. a) x 9b) 11 000b) x 4e) x 17f) x 102c) 110 000c) x 12g) x 45d) x 7h) x 20i) x 102. a) 701. a) 36b) 392c) 675d) 180e) 384f) 567g) 441h) 7002. a) 3, 7b) 2, 7c) 2, 5d) 5e) 19f) 2, 5g) 7, 11h) 2, 3b) 32 7c) 24 52d) 24g) 2 3h) 23 113. a) 24 3e) 2 3 5 f) 5 114. a) 11c) 322b) 2, 3, 4, 6, 8, 12, 24d) 5, 255. a) 336, 672, 1008b) 288, 576, 864c) 616, 1232, 1848d) 252, 504, 7566. a) 30b) For example: 60, 1507. No. Since 2 is a factor of 4, the least number that has 2,3, 4, and 5 as factors is 3 4 5 60.8. No. I can always find a number greater than the “greatest1.1 Numbers in the Media, page 111. a) 1441.2 Prime Factors, page 1736. No. 106 – 104 1 000 000 – 10 000 990 000;7. a) 1100in 2004 were the same as they were in 1998, and thatthe population was about one-half males and one-halffemales.d) “In 1998, what percent of males chose a sport notlisted in the table as the most popular sport?”(Answer: About 60.7%)10. For example: I would group pairs of numbers that add to50, then add; 1275.b) 414c) 960d) 2500b) 399c) 7.872d) 875f) 3292g) 125h) 120e) 11103. a) Estimateb) Exactc) Exact4. a) 5790.6 millionb) 706.2 million; 859.6 million; 909.9 million; 910.7 millionc) Star Wars Episode 1—The Phantom Menace and Lordof the Rings—The Two Towers; 1850.2 milliond) Titanic and Harry Potter and the Sorcerer’s Stonee) For example: No; older movies would have earnedless money because the cost of going to the movieshas increased since 1997.f) “What were the total earnings in the U.S. of the topfive movies?” (Answer: 2068.2 million)5. a) 19 700 mb) For example: About 1640 ladders; I assumed eachladder was 12 m long.6. a) 2500 L b) 2250 L c) 98 000 Ld) About 14.5 kg of rice, 0.7 kg of beef, 48 kg of wheat7. For example: “In two weeks, how much more moneydoes a miner earn than a construction worker?”(Answer: 718)8. a) For example: Yes, a person drinks water, uses water tobathe or shower, to cook, to wash dishes, and to dolaundry.b) 300 L of water could fill 3 bathtubs, or 150 2-Lbottles.9. a) Swimmingb) Baseballnumber,” by multiplying by any of the 3 factors.b) 2 33 7 199. a) 718210. For example:a) 122511. a) 231b) 52 72b) 3, 7, 11, 3312. a) 700b) 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175,350, 70013. a) Yes. For example:16 has 4 prime factors: 2 2 2 2;9 has 2 prime factors: 3 3;64 has 6 prime factors; 2 2 2 2 2 2;2, 4, and 6 are all even numbers.b) 3025 5 5 11 11; since each prime factor of3025 occurs an even number of times, 3025 is aperfect square.14. No. 4 is not a prime number.15. No, the product of the first four prime numbers is2 3 5 7 210, which is greater than 150.16. Doors with numbers that are perfect squares will beopen: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.1.3 Expanded Form and Scientific Notation, page 211. a) 8 105 3 104 4 103b) 9 107 8 106 9 105 7 104 7 103 c)d)2. a)b)c)1 102 8 101 37 106 1 1012 104 3 103 2 102 3 101 24 103 6 102 6 101 72 104 4 103 2 102 4 1017 107 7 103ANSWERSEnfocus Software - Customer Supportwww.mitaeroa.com513
3. a) 3b) 54. a) 1.532 106c) 6d) 4b) 3.1 104e) 2f) 1c) 4.6 109d) 1.5 102e) 6.0001 106 f) 1.470 32 1055. a) 6.1 102, 616, 1.6 103, 1616b) 248 555, 2.453 106, 2.4531 106, 2 453 1016. For example: The decimal point goes after the first non-zero digit, giving a number between 1 and 10. Then, thenumber of places to the original position of the decimalpoint is one less than the number of digits in the number.7. 5.1024 104 km or about 5.1 104 kmb) 8.6 1068. a) 100 000 000 000c) 30 000 000 000d) 2.08 1029. a) No. 1.2756 104b) Large numbers are easier to read in scientific notation.10. 70 00011. a) The frequency of violet light is greater by3.2 104 Hz.b) For example: Yes. It is easier to compare the numbersbetween 1 and 10 and the powers of 10.12. a) New Brunswick: 7.514 105;Nova Scotia: 9.37 105; Ontario: 1.239 27 107;Quebec: 7.5428 106; Manitoba: 1.1703 106;Northwest Territories: 4.28 104;British Columbia: 4.1964 106; Prince EdwardIsland: 1.379 105; Yukon: 3.12 104;Alberta: 3.2019 106; Saskatchewan: 9.954 105;Newfoundland and Labrador: 5.17 105;Nunavut: 2.96 104b) 2.162 39 107c) New Brunswick, Prince Edward Island, and theNorthwest Territoriesd) For example: In parts b and c, it was easier to add thenumbers in standard form because the exponents weredifferent.13. For example: I am 13 years old. I assumed my heartbeats 80 times per minute.546 624 000; 5.466 24 108;500 000 000 40 000 000 6 000 000 600 000 20 000 4000;5 108 4 107 6 106 6 105 2 104 4 10314. 4.32 103Unit 1 Mid-Unit Review, page 241. a) For example: 6550; I rounded each number to thenearest ten before adding.b) Gretzky and Francisc) For example: “Which players have about three timesas many assists as goals?”(Answer: Bourque and Coffey)2. a) 22 3 37b)2 34c) 2 3 17 d) 52 723. a) 135, 270 b) 112, 224 c) 288, 576 d) 180, 3604. a) 2, 4, 5, 10, 20b) 2, 4, 8 c) 3, 9d) 2, 45. a) 23 is a product of 2s, and 2 is a prime number.b) 4 is not a prime number.6. 400, 275, 693, 37 856; from least to greatest: 275, 400,693, 37 8567. a) For example: No. Two is the only even prime number.Three consecutive whole numbers will have at leastone even number other than 2.b) Yes. For example: 2 3514ANSWERSEnfocus Software - Customer Support8. a) 8 108 6 106 8 104 7 103 1 102 3 101 7b) 2 107 2 104 2 102 2 1019. a) 5.6 106c) 9.2 1010. b and db) 7.732 91 105d) 6.2 10191.4 Order of Operations, page 271.a) 36b) 24c) 121d) 25e) 0f) 22. a) 32 000 b) 0.6 c) 4.61 d) 98.12 e) 47.97 f) 5123. 3 24.99 2 14.99 104.954. a) 64 m2b) 100 m2c) 91 m25. a) 6.175 mb) 6.9 mc) 5.175 m6. a) (10 2) 32 – 2 106 b) 10 2 (32 – 2) 24c) (10 2) (32 – 2) 84 d) (10 2 3)2 – 2 2547. a) 20 (2 2) 22 6 26b) 20 2 2 (22 6) 30c) 20 (2 2 22) 6 8d) (20 2 2) (22 6) 1208. a) 49, 128, 1024, 625; from greatest to least: 45, 54, 27, 72b) 9, 8, 1, 25;from greatest to least: (3 2)2, 32, 23, (3 – 2)2c) 72.25, 90.25, 65.5, 102.5; from greatest to least:103.5 – 12, (10.5 – 1)2, (7.5 1)2, 61.5 22d) 104.04, 33.64, 12, 3.16; from greatest to least:(2.2 8)2, (8 – 2.2)2, 8 22, 8 – 2.229. 1059.7610. For example:a) (2 6) 4 8b) 2 6 4 – 8c) (6 4) (8 – 2)d) (24 – 6) 811. For example: (4 4) (4 4) 1; (4 4) (4 4) 2;(4 4 4) 4 3; 4 (4 – 4) 4 4;(4 4 4) 4 5; (4 4) 4 4 6; 44 4 – 4 7;4 4 4 – 4 8; 4 4 4 4 9; (44 – 4) 4 1012. No, for example: 22 32 4 9 13; (2 3)2 52 2513. For example: 92/01/27; 9 (2 0 – 1) 2 714. For example: 123 4 5 6 7 8 – 9 1441.5 Using a Model to Solve Equations, page 321. a) Mass A 30 gb) Mass B 55 gc) Mass C 65 gd) Mass D 50 g2. a) x 2e) x 15b) x 5c) x 7d) x 8f) x 273. a) x 11b) x 6c) x 19d) x 14. x 195. a) There are many possibilities. For example: In the leftpan, 30 g, 5 g, and x; in the right pan, 20 g and 40 gb) x 256. a) For example: In the left pan, x, x, x, x, x, 10 g; in theright pan, 50 g, 50 g, 5 gb) x 191.6 Using Algebra Tiles to Solve Equations, page 381. a) x 4d) x 122. a) x 4d) x 12b) x 7c) x 10e) x 13f) x 14b) x 7c) x 10e) x 13f) x 14
3. x 6; the number is 6.4. x 17; the number is 17.5.6.7.8.9.i) x 3ii) x 42. For example: Both methods use powers of 10 multipliediii) x 1iv) x 3x 6; the number is 6.x 13; the side length is 13 cm.x 7; the number is 7.For example: “Eight more than a number is 13. Let xrepresent the number.Then, an equation is 8 x 13. Solve the equation.What is the number?” (Answer: x 5)10. a) x –2b) x –311. a) 5 2x 1; x –2c) x –4b) 2x – 5 –1, x 2Unit 1 Unit Review, page 421. For example: “About how many hours did each Canadianspend volunteering?” (Answer: About 100 h)b) 42 2 3 72. a) 64 26c) 60 2 3 52d) 30 2 3 53. a) 48b) 1004. a) 253b) For example: 9 999 999 823; after this number, thedisplay is in scientific notation.by a number greater than or equal to 1 and less than 10.Expanded form shows the number as the sum ofnumbers, each written as a product of a whole numberand a power of 10. Scientific notation shows the numberas a product of two factors, one factor is a numbergreater than or equal to 1, and less than 10. The otherfactor is a power of 10.3. a) For example: 1122b) 2 3 11 174. a) 35b) 25 0.10mc) 92.505. a) x 126. 13b) x 10c) x 11Unit 1 Unit Problem: Planning a Ski Trip, page 46Part 11. From greatest elevation to least elevation: Telluride,Aspen Highlands, Vail, Big Sky, Steamboat, JacksonHole, Heavenly, Sun Valley, Kicking Horse,Whistler/Blackcomb2. a) 4 studentsb) 8 students3. a) 3oC4. Company Ab) –6oC5. cb) i) 2, 4, 5, 10, 20ii) 100, 200, 300Unit 2 Applications of Ratio, Rate, andPercent, page 48c) i) 5, 25ii) 75, 150, 225Skills You’ll Need, page 516. a) i) 5d)7. a)b)c)8. a)b)9. a)b)c)d)ii) 105, 210, 315i) 2, 3, 6ii) 180, 360, 540For example: 8 and 9; 25 and 42For example: 12 and 16; 25 and 100The lowest common multiple is less than the productof two numbers if the numbers have at least onecommon factor. If they do not have any commonfactors, the lowest common multiple is the product ofthe two numbers.Caspian Sea, Superior, Victoria, Huron, Michigan,Tanganyika, Baikal, Great Bear, Aral, MalawiMalawi and Michigan9 106 3 105 3 104 7 1039 105 7 104 7 103 1 102 8 101 31 108 6 106 4 104 5 101 57 104 3 103 5 102 3 101 210. a) 1.5 106 b) 4.2 104 c) 6 108d) 2.7 10111. a) 6000b) 8 430 000 c) 720 000 d) 328 000 00012. a) 17b) 10513. a) 100 m2c) 115b) 108 m214. a) x 515. 13 stampsb) x 816. a) x 9b) x 6d) 3.11c) 72 m2c) x 9c) x 317. a) x 3b) x 11c) x 218. x 19; 19 books can be bought.19. x 9; Kumar has 9 cards.d) x 9d) x 10d) x 1Unit 1 Practice Test, page 451. For example: I assumed there are 4 people in thehousehold, and that each person flushes the toilet 6 timesper day.a) 480 Lb) 336 L1. a) i) 52:21ii) 41:4b) i) 36:31ii) 82:11c) i) 6:7ii) 41:4d) i) 27:37ii) 41:52. 82:8 and 41:4; 82:10 and 41:5; 30:35 and 6:73. a) 75 heartbeats/minc) 2.25/ballb) 9.35/ticketd) 9.75/h4. a) 80 km/hb) 8 h 45 min5. a) i) 0.3, 30%ii) 0.8, 80%iii) 1.05, 105%iv) 0.03, 3%11751ii) 0.34,iii) 2.5,iv) 0.02,45025037c) i) 15%,ii) 7%,20100223iii) 40%,iv) 115%,520b) i) 0.25,2.1 Using Proportions to Solve Ratio Problems, page 551. a) t 36b) v 18c) x 10d) a 3e) b 15f) l 202. 225 shots3. a) 10 trees4. 148 dentistsb) Yes. Use a model.25. 43 times6. 64 students7. a) No, it only tells the proportion.8. 24 shots9. a) 3910. a) 24 studentsb) 26b) 15 cmc) 1111.50b) 27 studentsANSWERSEnfocus Software - Customer Support515
11. Ratio of my height: height of a flagpole ratio of lengthof my shadow:length of shadow of flagpole2.2 Scale Drawings, page 592. a) i) 33. 3 %iv) 133. 3 %ii) 66. 6 %iii) 100%v) 166. 6 %vi) 200%b) Percents start at 33. 3 %. They increase by 33. 3 % each1. a) 450 cm2. For example: 1:20003. Answers may vary.4. About 1:8025b) 0.02 cm5. a) 105 kmb) 6 cmtime.c) Multiply 33. 3 % by the numerator each time.i) 233. 3 %3. a) i) 7206. a) 9.6 cm by 12.8 cmb) 6.2 cm by 8.4 cm7. For example: About 1:200; I assumed the page is 25 cmlong.8. 14:1ii) 266. 6 %ii) 72iii) 300%iii) 7.2iv) 0.72b) The decimal point moves 1 place to the left each time.c) i) 7200ii) 0.0724. a) About 5 runnersb) 1% of 618 is about 6, so 0.8% of 618should be a bit less than 6.2.3 Comparing Rates, page 671. a) 133/weekb) 85 km/hc) About 0.29/bottle2. a) 8 grapefruit for 2.995. a) 168 peopled) 0.33/canb) 100% of 120 120; 50% of 120 60;b) 125 g for 0.793. About 7.25150% of 120 120 60 180So, 140% would be a bit less than 180.6. About 84%4. a) 87.5 km7. a) Less than 20c) 150 mL for 2.19d) 2 L for 4.49b) The average speed is the mean distance travelledin 1 h.2.5 Solving Percent Problems, page 76c) 8 h5. a) 60 km in 3 h6. For example:1. a) 2010. a) i) About 17 minb) i) Swimming; 52 minc) 800b) 500 cmd) 40c) 1500 g3. a) About 7.1%4. 1800 cm3b) 30%b) About 5.3%ii) About 31 min5. a) About 5%6. 169 8407. 250ii) Cycling and walking8. a) 36 papersb) About 36 minc) For example: “How long would a person have to skipto burn the calories in a medium peach?” (Answer:About 6 min)11. a) i) About 3 people/km2 ii) About 134 people/km2iii)About 338 people/km2b) From least density to greatest density: Canada, China,India9. a) About 167 cm10. Answers may vary.b) About 180 cm11. a) Canada: About 0.31 km2; U.S.: About 0.03 km2;Mexico: About 0.02 km2b) i) About 223%ii) About 406%c) Answers may vary.2.6 Sales Tax, Discount, and Commission, page 791. i) a) About 2.00; about 1.75Unit 2 Mid-Unit Review, page 69b) y 27c) z 5d) a 283. a) About 310 bass4. 13.25 cmb) About 190 pike5. a) For example: 3:17. 0.36 mmb) For example: 1:1508. a) 1.07/Lc) 4.38/kgb) 12 bagels for 5.99d) 0.003c) 29.89c) 71.99c) 66.00c) 175.32b) 18.00d) 82.79b) 54.00d) 75.903. a) 40%b) 13.104. Choice B is the better deal.b) 2.5c) 4.75Price after rebate: 21 000Price with 20% discount: 20 0005. Choice A6. 30007. 389 120e) 0.0053f) 0.00758. a) About 150b) 129 wordsc) About 538 words2.4 Calculating Percents, page 721. a) 1.2b) 12.20, 10.67ii) a) About 60.00c) 5 kg for 2.7910. a) 43 words11. 42 km/hb) 2.08, 1.82ii) a) About 12.00; about 10.502. i) a) About 20.00b) 4.47/kg9. a) 8.5 L for 7.31516b) 242. a) 833. 3 ga) About 13 pointsb) About 312 points7. About 4.9 cm8. Mei-Lin9. About 209 bags or 520.8 kg1. a) x 502. 1600 girlsb) 15c) The population decreased by 1985 people.ANSWERSEnfocus Software - Customer Supportb) 167.80
Unit 3 Geometry and Measurement,page 949. Store B10. 44.9511. a) 86.00b) 66.2612. a) 86.96b) 13.04Skills You’ll Need, page 973. a) 432 cm2; 576 cm3c) About 53.6 m ; about 26.4 m32.7 Simple Interest, page 841. a) 0.05b) 0.07c) 0.03d) 0.0125f) 0.0325g) 0.0575h) 0.025e) 0.0352. a) 9.00b) 44.00c) 48.003. a) 840.00b) 1800.00c) 740.004. a) 75; 2575b) 1080; 7080.00c) 14; 714.00d) 150 cm2; 125 cm34. a) 25 m2b) 24 cm2c) 2.64 cm2b) 0.43 m25. a) 7.265 md) 4280 L; 4.28 103 L3c) 0.98 me) 875 cm; 8.75 10 cm2f) 13 600 cm2; 1.36 104 cm25. a) 560b) 53.336. 518.757. 3489.588. For example: “Marie invested the money in her friend’sbusiness at an annual interest rate of 4% for 5 years.Calculate the simple interest Marie received.”(Answer: 200 000)9. 3048.1610. 7.5%Unit 2 Unit Review, page 891. 362. a) 33. 14 gamesg) 14 980 000 cm3; 1.498 107 cm3h) 9870 cm3; 9.87 103 cm33.1 Building and Sketching Objects, page 1041. For example: A and H; top view, bottom viewB and J; top view, bottom viewB and L; front viewC and I; top view, bottom viewD and J; left side view, right side view5. c) The number of vertices the number of faces – thenumber of edges 23.2 Sketching and Folding Nets, page 109b) 6Rectangular prismThe front and back faces of the prism are twocongruent 6-cm by 8-cm rectangles, the top andbottom faces are two congruent 2-cm by 8-cmrectangles, and the side faces are two congruent2-cm by 6-cm rectangles.ii) a) Triangular prismd) The front face of the prism is a 2-cm by 3-cmrectangle, the top and bottom faces are twocongruent equilateral triangles with side length2 cm, and the side faces are two congruent 2-cmby 3-cm rectangles.3. Answers may vary.4.b) The cardboard net has other parts attached to it toallow for gluing the box together.6. a) Irregular hexagonal prism1. i) a)d)4. a) 400 mLb) About 2 L of pop and 800 mL of orange juiceAbout 3 L of pop and 1.2 L of orange juice5. About 0.17 cm or 1.7 mm6. 18 cm7. 210 h8. a) 0.125 km/minb) 7.5 km/h9. Jevon: 0.6 laps/min; Kieran: about 0.4 laps/minJevon had the greater average speed.10. a) 29.2 kgb) 210 mm2; 196 mm32b) Answers may vary.11. a) About 20 jars b) 17 jars12. 25 cards13. 17.25 m14. 6515. 40 300 t16. 112.5 cm17. a) 205.8 cm by 235.2 cmb) 3.96%18. a) 69.9919. 77.61b) About 28.6%Unit 3 Mid-Unit Review, page 1112. a) The object resembles a doughnut.3. i) a) Rectangular prism20. a) 17 50021. 37.50b) 332 500c) 787522. a) 174.38b) 1674.38c) 93.02Unit 2 Practice Test, page 911. 0.51 L2. a) 455 kmc) About 6 h 30 minb) About 60.7 Ld) About 49 min3. Yes; about 55.6%4. a) About 400 boxesb) 350 boxes5. 43406. No, the house is less expensive at the end of 2004.The front and back faces of the prism are twocongruent 6-cm by 7-cm rectangles, the top andbottom faces are two congruent 3-cm by 6-cmrectangles, and the side faces are two congruent3-cm by 7-cm rectangles.ii) a) Parallelogram based prismd) The front and back faces of the prism are twocongruent 2-cm by 1-cm rectangles, the top andbottom faces are two congruent 2-cm by 3-cmd)ANSWERSEnfocus Software - Customer Support517
parallelograms, and the side faces are twocongruent 3-cm by 1-cm rectangles.iii) a) Right triangular prismd) The bases are 2 congruent right triangles, theother faces are rectangles. The object looks like aramp.3.3 Surface Area of a Triangular Prism, page 1151. a) 50 cm2b) 48 m22. a) 153 m2b) 0.324 m23. a) 2 567 200 cm2b) 268 cm24. a) 39.4 m2b) 34.4 m25. Answers may vary.6. a) 2 cm and 12 cm; 3 cm and 8 cm; 4 cm and 6 cm;6 cm and 4 cm; 8 cm and 3 cm; 12 cm and 2 cmb) A prism with length 12 cm, and the equilateraltriangles have side length 2 cm.7. 1.44 m28. a) A right triangle with legs of lengths 3 cm and 4 cm,and hypotenuse with length 5 cmb) 84 cm29. 471 cm23.4 Volume of a Triangular Prism, page 1191. a) 21.16 cm3b) 217.5 cm3c) 45 m32. a) 955.5 cm3b) 240 m3c) About 3.8 m33. a) 531.96 cm3b) 108 cm34. a) For example: 1 cm by 2 cm by 5 cmb) For example: 2 m by 3 m by 3 mc) For example: 2 m by 4 m by 2 md) For example: 3 cm by 3 cm by 4 cm5. 18 cm36. No, the base of a triangular prism is one of the twotriangular faces that name the prism.7. 7.5 cm8. a) SA 36 m2; V 12 m3b) The surface area increases, but less than doubles. Thevolume doubles. SA 60 m2; V 24 m3c) The surface area more than doubles. The volume is 4times as great. SA 96 m2; V 48 m3d) The surface area is 4 times as great and the volume is8 times as great. SA 144 m2; V 96 m39. a) 1.125 m3b) She will need 3.375 m3 more concrete.10. a) SA 231.35 cm2; V 113.9 cm3b) i) For example: b 7 cm, h 6.2 cm, l 21 cmii) The base and height of the triangular faces aredoubled.11. a) 292 m2; 336 m3b) 68.25 cm2; 28.125 cm3Reading and Writing in Math: Features of Word Problems,page 1231. 39.962. 4 tables for eight and 9 tables for ten, 9 tables for eightand 5 tables for ten, 10 tables for eight and 1 table for ten3. 12518ANSWERSEnfocus Software - Customer Support2; The probability of the tiles not matching and the5probability of the tiles matching are not equal. So, thegame is not fair.5. Answers may vary.4.Unit 3 Unit Review, page 1253. a) Trapezoidal prismd) The top and bottom faces are congruent trapezoids.The side faces are two congruent 5.7-cm by 6-cmrectangles. The back face is a 6-cm by 6-cm rectangle.The front face is a 14-cm by 6-cm rectangle.4. a) 7.2 cm2b) 0.96 cm325. a) 14.16 mb) 2.295 m336. 6 m7. For example: b 1 m, h 1 m, l
ANSWERS 513 Answers Unit 1 Numbers, Variables, and Equations, page 4 Skills You’ll Need, page 6 1. b)a) 43 d) 27 c) 72 125 2.a) 5 5 5 5; 625 b) 11 11; 121 c) 2 2 2 2 2 2 2 2; 256 d) 12 12 12; 1728 3. 2a) c)33 b) 6 82, 43, 26 d) 22 e) f)53 23 g) 73 h) 252, 54 4.a) i) 104 ii) iii)107 103 iv) 108 b) For example: The exponent equals the number of
system of numbers is expanded to include imaginary numbers. The real numbers and imaginary numbers compose the set of complex numbers. Complex Numbers Real Numbers Imaginary Numbers Rational Numbers Irrational Numbers Integers Whole Numbers Natural Numbers The imaginary unit i is defi
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Trigonometry Unit 4 Unit 4 WB Unit 4 Unit 4 5 Free Particle Interactions: Weight and Friction Unit 5 Unit 5 ZA-Chapter 3 pp. 39-57 pp. 103-106 WB Unit 5 Unit 5 6 Constant Force Particle: Acceleration Unit 6 Unit 6 and ZA-Chapter 3 pp. 57-72 WB Unit 6 Parts C&B 6 Constant Force Particle: Acceleration Unit 6 Unit 6 and WB Unit 6 Unit 6
(ex. 53.66563146 .). All square roots of non-square numbers are also irrational (ex. 8 and 33). Real Numbers are all rational and irrational numbers. Check all the sets of numbers to which each number belongs. Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers 1. 0 2. 0.15 3.
Answers (1 - 40) 7 Manufacturing Costs 8 Answers (41 - 80) 11 Service Department Allocations 12 Answers (81 - 105) 16 Variable vs. Absorption Costing 17 Answers 106 - 130 20 Cost Behavior & Estimation 21 Answers (131 - 150) 23 Regression for Estimating 24 Answers (151 - 185) 28 Break-even and Cost-Volume-Profit 29 Answers (186 - 210) 32
Studies have shown veterinary surgeons do not feel they receive adequate training in small animal nutrition during veterinary school. In a 1996 survey among veterinarians in the United States, 70% said their nutrition education was inadequate. 3. In a 2013 survey in the UK, 50% of 134 veterinarians felt their nutrition education in veterinary school was insufficient and a further 34% said it .
