Mathematics for the Trades A Guided Approach Canadian 2nd Edition Carman Solutions Manual

1. 1 Arithmetic of Whole Numbers
2. Preview 1 Arithmetic of Whole Numbers
3. Learning Objectives
4. 1-1 Working with Whole Numbers
5. Expanded Form
6. Your Turn
7. Solutions
8. Your Turn
9. Answers
10. Problems
11. Answers
12. Addition of Whole Numbers
13. Practice One-Digit Addition
14. Rounding Whole Numbers
15. Your Turn
16. Solutions
17. Estimating
18. Your Turn
19. Solution
20. Problems
21. Solutions
22. Exercises 1-1 Working with Whole Numbers
23. 1-2 Subtraction of Whole Numbers
24. Your Turn
25. Solutions
26. Exercises 1-2 Subtraction of Whole Numbers
27. 1-3 Multiplication of Whole Numbers
28. Your Turn
29. Answers
30. Multiplying by Zero and One
31. Practice One-Digit Multiplication
32. Multiplying by Larger Numbers
33. Your Turn
34. Solutions
35. Problems
36. Solutions
37. Two-Digit Multiplications
38. Your Turn
39. Solutions
40. Exercises 1-3 Multiplication of Whole Numbers
41. 1-4 Division of Whole Numbers
42. Your Turn
43. Answers
44. Your Turn
45. Solutions
46. Your Turn
47. Solutions
48. Factors
49. Your Turn
50. Answers
51. Primes
52. Prime Factors
53. Your Turn
54. Answers
55. Exercises 1-4 Division of Whole Numbers
56. 1-5 Order of Operations
57. Your Turn
58. Solutions
59. Problems
60. Solutions
61. Exercises 1-5 Order of Operations
62. Problem Set 1 Arithmetic of Whole Numbers
63. Using a Calculator, I: Whole-Number Calculations
64. How to Select a Calculator
65. Becoming Familiar with Your Calculator
66. Basic Operations
67. Your Turn
68. Answers
69. Combined Operations
70. Your Turn
71. Answers
72. Parentheses and Memory
73. Your Turn
74. Answers
75. 2 Fractions
76. Preview 2 Fractions
77. Learning Objectives
78. 2-1 Working with Fractions
79. Your Turn
80. Solution
81. Numerator
82. Denominator
83. Your Turn
84. Answer
85. Problems
86. Answer
87. Proper Fraction
88. Improper Fraction
89. Your Turn
90. Answer
91. Mixed Numbers
92. Your Turn
93. Solution
94. Problems
95. Answer
96. Your Turn
97. Answer
98. Equivalent Fractions
99. Your Turn
100. Solution
101. Problems
102. Solution
103. Writing in Lowest Terms
104. Your Turn
105. Solution
106. Comparing Fractions
107. Your Turn
108. Solution
109. Exercises 2-1 Working with Fractions
110. 2-2 Multiplication of Fractions
111. Whole Number Times a Fraction
112. Mixed Number Times a Fraction
113. Mixed Number Times a Mixed Number
114. Your Turn
115. Solution
116. Exercises 2-2 Multiplication of Fractions
117. 2-3 Division of Fractions
118. Reciprocal
119. Your Turn
120. Answer
121. Your Turn
122. Solution
123. Problems
124. Solution
125. Exercises 2-3 Division of Fractions
126. 2-4 Addition and Subtraction of Fractions
127. Addition
128. Like Fractions
129. Your Turn
130. Solution
131. Unlike Fractions
132. Least Common Denominator
133. Your Turn
134. Solution
135. Your Turn
136. Solution
137. Problems
138. Answer
139. Your Turn
140. Solution
141. Problems
142. Solution
143. Subtraction
144. Your Turn
145. Solution
146. Exercises 2-4 Addition and Subtraction of Fractions
147. Using a Calculator, II: Fractions
148. Your Turn
149. Answer
150. Problem Set 2 Fractions
151. 3 Decimal Numbers
152. Preview 3 Decimal Numbers
153. Learning Objectives
154. 3-1 Convert Metric Values
155. Place Value of Decimal Numbers
156. Your Turn
157. Answer
158. Your Turn
159. Answer
160. Expanded Form
161. Your Turn
162. Answer
163. Decimal Digits
164. Your Turn
165. Answer
166. 3-2 Addition and Subtraction of Decimals
167. Addition
168. Your Turn
169. Solution
170. Subtraction
171. Your Turn
172. Solution
173. Exercises 3-2 Addition and Subtraction of Decimals
174. 3-3 Multiplication and Division of Decimal Numbers
175. Multiplication
176. Your Turn
177. Solution
178. Problems
179. Solutions
180. Division
181. Your Turn
182. Solution
183. Problems
184. Solutions
185. Rounding Decimal Numbers
186. Your Turn
187. Answer
188. Rounding During Division
189. Your Turn
190. Solution
191. Averages
192. Your Turn
193. Solutions
194. Exercises 3-3 Multiplication and Division of Decimals
195. 3-4 Decimal Fractions
196. Your Turn
197. Solutions
198. Repeating Decimals
199. Your Turn
200. Solution
201. Terminating Decimals
202. Problems
203. Problems
204. Answers
205. Exercises 3-4 Decimal Fractions
206. Problem Set 3 Decimal Numbers
207. Using a Calculator, III: Decimals
208. Your Turn
209. Answers
210. 4 Ratio, Proportion, and Percent
211. Preview 4 Ratio, Proportion, and Percent
212. Learning Objectives
213. 4-1 Ratio and Proportion
214. Ratio
215. Pulley Ratios
216. Compression Ratio
217. Your Turn
218. Solutions
219. Simple Equations
220. Your Turn
221. Solutions
222. Proportions
223. Your Turn
224. Solution
225. Problems
226. Answers
227. Your Turn
228. Solution
229. Problem Solving Using Proportions
230. Your Turn
231. Solutions
232. Exercises 4-1 Ratio and Proportion
233. 4-2 Introduction to Percent
234. Your Turn
235. Solution
236. Changing Decimal Numbers to Percents
237. Your Turn
238. Solutions
239. Changing Fractions to Percents
240. Your Turn
241. Solution
242. Problems
243. Solutions
244. Changing Percents to Decimal Numbers
245. Your Turn
246. Solutions
247. Changing Percents to Fractions
248. Your Turn
249. Solutions
250. Exercises 4-2 Introduction to Percent
251. 4-3 Percent Problems
252. When P Is Unknown
253. Your Turn
254. Solution
255. Problems
256. Solutions
257. When R Is Unknown
258. Your Turn
259. Solutions
260. When B Is Unknown
261. Your Turn
262. Solutions
263. Problems
264. Solutions
265. Exercises 4-3 Percent Problems
266. 4-4 Applications of Percent Calculations
267. Discount
268. Your Turn
269. Solution
270. Problems
271. Solutions
272. Your Turn
273. Solutions
274. Sales Tax
275. Your Turn
276. Answers
277. Interest
278. Your Turn
279. Solution
280. Commission
281. Your Turn
282. Solution
283. Problems
284. Solutions
285. Efficiency
286. Your Turn
287. Solution
288. Tolerances
289. Your Turn
290. Solution
291. Problems
292. Answers
293. Percent Change
294. Your Turn
295. Solutions
296. Your Turn
297. Solutions
298. Exercises 4-4 Applications of Percent Calculations
299. 4-5 Applications of Ratio and Proportion
300. Scale Drawings
301. Your Turn
302. Solutions
303. Similar Figures
304. Your Turn
305. Solutions
306. Direct and Inverse Proportion
307. Your Turn
308. Solutions
309. Your Turn
310. Solution
311. Gears and Pulleys
312. Your Turn
313. Solution
314. Your Turn
315. Solution
316. Problems
317. Solutions
318. Exercises 4-5 Applications of Ratio and Proportion
319. Problem Set 4 Ratio, Proportion, and Percent
320. 5 Measurement
321. Preview 5 Measurement
322. Learning Objectives
323. 5-1 Working with Measurement Numbers
324. Your Turn
325. Answers
326. Units
327. Your Turn
328. Answers
329. Significant Digits
330. Your Turn
331. Answers
332. Precision and Accuracy
333. Your Turn
334. Answers
335. Addition and Subtraction of Measurement Numbers
336. Your Turn
337. Solutions
338. Problems
339. Answers
340. Multiplication and Division of Measurement Numbers
341. Your Turn
342. Solution
343. Problems
344. Answers
345. Rounding Products and Quotients
346. Your Turn
347. Solution
348. Problems
349. Answers
350. Decimal Equivalents
351. Your Turn
352. Solution
353. Problems
354. Answers
355. Exercises 5-1 Working with Measurement Numbers
356. 5-2 Standard Units; US Customary Units and Conversions
357. Your Turn
358. Answers
359. Unity Fractions
360. Your Turn
361. Solutions
362. Your Turn
363. Solution
364. Your Turn
365. Solutions
366. Compound Units
367. Your Turn
368. Answers
369. Area
370. Your Turn
371. Solution
372. Problems
373. Solutions
374. Volume
375. Your Turn
376. Solutions
377. Speed
378. Your Turn
379. Solutions
380. Exercises 5-2 US Customary Units and Unit Conversion
381. 5-3 Metric Units
382. Metric to Metric Conversion
383. Your Turn
384. Solutions
385. Metric–US Customary Conversion
386. Problems
387. Answers
388. Weight
389. Metric to Metric Conversion
390. Your Turn
391. Solution
392. Problems
393. Answers
394. Metric–US Customary Conversion
395. Your Turn
396. Solution
397. Problems
398. Answers
399. Area
400. Your Turn
401. Solution
402. Problems
403. Answers
404. Volume
405. Your Turn
406. Answers
407. Metric–US Customary Conversion
408. Problems
409. Answers
410. Speed
411. Your Turn
412. Solution
413. Problems
414. Answers
415. Temperature
416. Your Turn
417. Answers
418. Problems
419. Answers
420. Exercises 5-3 Metric Units
421. 5-4 Direct Measurements
422. Length Measurements
423. Learning Help
424. Your Turn
425. Answers
426. Your Turn
427. Answers
428. Your Turn
429. Answers
430. Micrometers
431. Your Turn
432. Answers
433. Your Turn
434. Answers
435. Vernier Micrometers
436. Your Turn
437. Answers
438. Problems
439. Answers
440. Your Turn
441. Answers
442. Vernier Calipers
443. Your Turn
444. Answers
445. Your Turn
446. Answers
447. Protractors
448. Your Turn
449. Answers
450. Meters
451. Your Turn
452. Answers
453. Your Turn
454. Answers
455. Exercises 5-4 Direct Measurements
456. Problem Set 5 Measurement
457. 6 Pre-Algebra
458. Preview 6 Pre-Algebra
459. Learning Objectives
460. 6-1 Addition of Signed Numbers
461. The Meaning of Signed Numbers
462. Your Turn
463. Answers
464. Your Turn
465. Answers
466. Problems
467. Answers
468. Addition of Signed Numbers
469. Your Turn
470. Solutions
471. Absolute Value
472. Your Turn
473. Solutions
474. Exercises 6-1 Addition of Signed Numbers
475. 6-2 Subtraction of Signed Numbers
476. Opposites
477. Subtraction of Signed Numbers
478. Your Turn
479. Solutions
480. Exercises 6-2 Subtraction of Signed Numbers
481. 6-3 Multiplication and Division of Signed Numbers
482. Multiplication of Signed Numbers
483. Rules for Multiplication
484. Your Turn
485. Solutions
486. Division of Signed Numbers
487. Your Turn
488. Answers
489. Exercises 6-3 Multiplication and Division of Signed Numbers
490. 6-4 Exponents and Square Roots
491. Your Turn
492. Answers
493. Exponents
494. Problems
495. Answers
496. Order of Operations with Exponents
497. Your Turn
498. Solutions
499. Your Turn
500. Answers
501. Square Roots
502. Your Turn
503. Answers
504. Your Turn
505. Answer
506. Your Turn
507. Solutions
508. Exercises 6-4 Exponents and Square Roots
509. Problem Set 6 Pre-Algebra
510. 7 Basic Algebra
511. Preview 7 Basic Algebra
512. Learning Objectives
513. 7-1 Algebraic Language and Formulas
514. Multiplication
515. Your Turn
516. Answers
517. Brackets
518. Division
519. Your Turn
520. Answers
521. Algebraic Expressions
522. Your Turn
523. Answer
524. Evaluating Formulas
525. Your Turn
526. Solution
527. Your Turn
528. Solutions
529. Problems
530. Solutions
531. Exercises 7-1 Evaluating Formulas
532. 7-2 Adding and Subtracting Algebraic Expressions
533. Combining Like Terms
534. Your Turn
535. Answers
536. Your Turn
537. Solutions
538. Expressions with Brackets
539. Problems
540. Answers
541. Your Turn
542. Answers
543. Problems
544. Answers
545. Exercises 7-2 Adding and Subtracting Algebraic Expressions
546. 7-3 Solving Simple Equations
547. Your Turn
548. Answers
549. Solution
550. Problems
551. Answers
552. Equivalent Equations
553. Solving Equations
554. Your Turn
555. Solution
556. Problems
557. Solutions
558. Your Turn
559. Solutions
560. Problems
561. Solutions
562. Exercises 7-3 Solving Simple Equations
563. 7-4 Solving Equations Involving Two Operations
564. Your Turn
565. Solution
566. Your Turn
567. Solution
568. Your Turn
569. Solution
570. Problems
571. Solutions
572. Exercises 7-4 Solving Two-Step Equations
573. 7-5 Solving More Equations and Formulas
574. Brackets in Equations
575. Your Turn
576. Solution
577. Your Turn
578. Solution
579. Problems
580. Answers
581. Variable on Both Sides
582. Your Turn
583. Solution
584. Problems
585. Solutions
586. Remember
587. Solving Formulas
588. Your Turn
589. Solutions
590. Problems
591. Answers
592. Exercises 7-5 Solving More Equations and Formulas
593. 7-6 Solving Word Problems
594. Translating English to Algebra
595. Your Turn
596. Answers
597. Your Turn
598. Solution
599. Problems
600. Solution
601. Translating Sentences to Equations
602. Your Turn
603. Solution
604. Problems
605. Answers
606. General Word Problems
607. Your Turn
608. Solution
609. Problems
610. Solutions
611. Exercises 7-6 Solving Word Problems
612. 7-7 Multiplying and Dividing Algebraic Expressions
613. Multiplying Simple Factors
614. Your Turn
615. Answers
616. Rule for Multiplication
617. Dividing Simple Factors
618. Your Turn
619. Answers
620. Negative Exponents
621. Your Turn
622. Answers
623. Exercises 7-7 Multiplying and Dividing Algebraic Expressions
624. 7-8 Scientific Notation
625. Definition of Scientific Notation
626. Converting to Scientific Notation
627. Your Turn
628. Solutions
629. Converting from Scientific Notation to Decimal Form
630. Your Turn
631. Answers
632. Multiplying and Dividing in Scientific Notation
633. Your Turn
634. Solutions
635. Exercises 7-8 Scientific Notation
636. Problem Set 7 Basic Algebra
637. 8 Practical Plane Geometry
638. Preview 8 Practical Plane Geometry
639. Learning Objectives
640. 8-1 Angle Measurement
641. Labelling Angles
642. Your Turn
643. Answers
644. Measuring Angles
645. Your Turn
646. Answers
647. Classifying Angles
648. Your Turn
649. Answers
650. Drawing Angles
651. Your Turn
652. Answers
653. Angle Facts
654. Your Turn
655. Answers
656. Your Turn
657. Answers
658. Your Turn
659. Solution
660. Your Turn
661. Answers
662. Exercises 8-1 Angle Measurement
663. 8-2 Area and Perimeter of Polygons
664. Polygons
665. Perimeter
666. Your Turn
667. Answers
668. Quadrilaterals
669. Your Turn
670. Answers
671. Rectangles
672. Your Turn
673. Solution
674. Your Turn
675. Solution
676. Problems
677. Solution
678. Squares
679. Your Turn
680. Solution
681. Problems
682. Answers
683. Parallelograms
684. Your Turn
685. Solution
686. Problems
687. Answers
688. Trapezoids
689. Your Turn
690. Solution
691. Exercises 8-2 Area and Perimeter of Polygons
692. 8-3 Triangles, Hexagons, and Irregular Polygons
693. Problems
694. Answers
695. Pythagorean Theorem
696. Your Turn
697. Solution
698. Problems
699. Answers
700. Area of a Triangle
701. Your Turn
702. Solution
703. Your Turn
704. Solution
705. Your Turn
706. Solution
707. Your Turn
708. Solution
709. Problems
710. Answers
711. Hexagons
712. Your Turn
713. Solution
714. Your Turn
715. Solution
716. Problems
717. Answers
718. Irregular Polygons
719. Your Turn
720. Solution
721. Problems
722. Answers
723. Exercises 8-3 Triangles, Hexagons, and Irregular Polygons
724. 8-4 Circles
725. Circumference
726. Your Turn
727. Solution
728. Parts of Circles
729. Your Turn
730. Solution
731. Problems
732. Answers
733. Area of a Circle
734. Problems
735. Solution
736. Rings
737. Your Turn
738. Solution
739. Problems
740. Answers
741. Exercises 8-4 Circles
742. Problem Set 8 Practical Plane Geometry
743. 9 Solid Figures
744. Preview 9 Solid Figures
745. Learning Objectives
746. 9-1 Prisms
747. Your Turn
748. Answers
749. Your Turn
750. Solution
751. Problems
752. Solutions
753. Your Turn
754. Solution
755. Problems
756. Solutions
757. Exercises 9-1 Prisms
758. 9-2 Pyramids and Frustums of Pyramids
759. Pyramids
760. Your Turn
761. Solution
762. Problems
763. Solutions
764. Frustum of a Pyramid
765. Your Turn
766. Solution
767. Problems
768. Solutions
769. Exercises 9-2 Pyramids and Frustums of Pyramids
770. 9-3 Cylinders and Spheres
771. Cylinders
772. Your Turn
773. Solution
774. Problems
775. Solution
776. Spheres
777. Your Turn
778. Solution
779. Problems
780. Answers
781. Exercises 9-3 Cylinders and Spheres
782. 9-4 Cones and Frustums of Cones
783. Cones
784. Your Turn
785. Solution
786. Problems
787. Solution
788. Frustum of a Cone
789. Problems
790. Solutions
791. Exercises 9-4 Cones and Frustums of Cones
792. Problem Set 9 Solid Figures
793. 10 Triangle Trigonometry
794. Preview 10 Triangle Trigonometry
795. Learning Objectives
796. 10-1 Angles and Triangles
797. Problems
798. Answers
799. Angle Measurement
800. Your Turn
801. Solution
802. Problems
803. Answers
804. Radian Measure
805. Problems
806. Answers
807. Sectors
808. Your Turn
809. Solution
810. Linear and Angular Speed
811. Problems
812. Solutions
813. Right Triangles
814. Your Turn
815. Solution
816. Pythagorean Theorem
817. Your Turn
818. Solutions
819. Special Right Triangles
820. Your Turn
821. Solutions
822. Your Turn
823. Solutions
824. Exercises 10-1 Angles and Triangles
825. 10-2 Trigonometric Ratios
826. Your Turn
827. Answers
828. Problems
829. Answers
830. Sine Ratio
831. Your Turn
832. Solution
833. Your Turn
834. Solution
835. Your Turn
836. Answers
837. Cosine Ratio
838. Your Turn
839. Solution
840. Problems
841. Answers
842. Tangent Ratio
843. Your Turn
844. Solution
845. Problems
846. Answers
847. Finding Values of Trigonometric Functions
848. Your Turn
849. Solutions
850. Angles in Degrees and Minutes
851. Your Turn
852. Answers
853. Finding the Angle
854. Your Turn
855. Answers
856. Your Turn
857. Answers
858. Exercises 10-2 Trigonometric Ratios
859. 10-3 Solving Right Triangles
860. Your Turn
861. Solution
862. Problems
863. Solutions
864. Problems
865. Solutions
866. Exercises 10-3 Solving Right Triangles
867. 10-4 Oblique Triangles (Optional)
868. Oblique Triangles
869. Law of Sines
870. Your Turn
871. Solution
872. Your Turn
873. Solution
874. Summary of Procedures for Case 2
875. Your Turn
876. Solutions
877. Law of Cosines
878. Your Turn
879. Solution
880. Your Turn
881. Solution
882. Exercises 10-4 Oblique Triangles
883. Problem Set 10 Triangle Trigonometry
884. 11 Advanced Algebra
885. Preview 11 Advanced Algebra
886. Learning Objectives
887. 11-1 Systems of Equations
888. Your Turn
889. Answers
890. Your Turn
891. Solution
892. Solution by Substitution
893. Your Turn
894. Solution
895. Problems
896. Solution
897. Dependent and Inconsistent Systems
898. Your Turn
899. Solutions
900. Solution by Elimination
901. Your Turn
902. Solutions
903. Problems
904. Solutions
905. Multiplication with the Elimination Method
906. Your Turn
907. Solution
908. Problems
909. Solutions
910. Multiplying Both Equations
911. Your Turn
912. Solution
913. Problems
914. Answers
915. Word Problems
916. Your Turn
917. Solution
918. Problems
919. Solution
920. Exercises 11-1 Systems of Equations
921. 11-2 Quadratic Equations
922. Your Turn
923. Answers
924. Standard Form
925. Your Turn
926. Answers
927. Your Turn
928. Answers
929. Solutions to Quadratic Equations
930. Your Turn
931. Solution
932. Solving x2−a=0
933. Your Turn
934. Solutions
935. Problems
936. Solutions
937. Quadratic Formula
938. Your Turn
939. Solution
940. Problems
941. Solutions
942. Word Problems and Quadratic Equations
943. Problems
944. Solutions
945. Exercises 11-2 Quadratic Equations
946. Problem Set 11 Advanced Algebra
947. Answers to Previews
948. Answers to Preview 1
949. Answers to Preview 2
950. Answers to Preview 3
951. Answers to Preview 4
952. Answers to Preview 5
953. Answers to Preview 6
954. Answers to Preview 7
955. Answers to Preview 8
956. Answers to Preview 9
957. Answers to Preview 10
958. Answers to Preview 11
959. Answers
960. Chapter 1
961. Practice, page 6
962. Exercises 1-1, page 12
963. Exercises 1-2, page 20
964. Practice, page 26
965. Exercises 1-3, page 31
966. Exercises 1-4, page 41
967. Exercises 1-5, page 45
968. Problem Set 1, page 47
969. Chapter 2
970. Exercises 2-1, page 67
971. Exercises 2-2, page 71
972. Exercises 2-3, page 78
973. Exercises 2-4, page 89
974. Problem Set 2, page 93
975. Chapter 3
976. Exercises 3-2, page 107
977. Exercises 3-3, page 123
978. Exercises 3-4, page 132
979. Problem Set 3, page 135
980. Chapter 4
981. Exercises 4-1, page 155
982. Exercises 4-2, page 165
983. Exercises 4-3, page 173
984. Exercises 4-4, page 191
985. Exercises 4-5, page 204
986. Problem Set 4, page 209
987. Chapter 5
988. Exercises 5-1, page 230
989. Exercises 5-2, page 242
990. Exercises 5-3, page 258
991. Exercises 5-4, page 284
992. Problem Set 5, page 287
993. Chapter 6
994. Exercises 6-1, page 299
995. Exercises 6-2, page 305
996. Exercises 6-3, page 309
997. Exercises 6-4, page 319
998. Problem Set 6, page 321
999. Chapter 7
1000. Exercises 7-1, page 336
1001. Exercises 7-2, page 346
1002. Exercises 7-3, page 356
1003. Exercises 7-4, page 364
1004. Exercises 7-5, page 377
1005. Exercises 7-6, page 389
1006. Exercises 7-7, page 395
1007. Exercises 7-8, page 402
1008. Problem Set 7, page 405
1009. Chapter 8
1010. Exercises 8-1, page 422
1011. Exercises 8-2, page 438
1012. Exercises 8-3, page 457
1013. Box, page 467
1014. Exercises 8-4, page 469
1015. Problem Set 8, page 473
1016. Chapter 9
1017. Exercises 9-1, page 489
1018. Exercises 9-2, page 498
1019. Exercises 9-3, page 505
1020. Exercises 9-4, page 513
1021. Problem Set 9, page 517
1022. Chapter 10
1023. Exercises 10-1, page 536
1024. Exercises 10-2, page 549
1025. Exercises 10-3, page 554
1026. Exercises 10-4, page 568
1027. Problem Set 10, page 571
1028. Chapter 11
1029. Exercises 11-1, page 597
1030. Exercises 11-2, page 610
1031. Problem Set 11, page 613
1032. Appendix
1033. Index

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