Fundamentals of Mathematics, 2008a

More documents

Recommendations

Info

130 CHAPTER 2. MULTIPLICATION AND DIVISION OF WHOLE NUMBERS 2.5.4.1 Exercises for Review Exercise 2.5.42 (Solution on p. 149.) (Section 1.2) In the number 412, how many tens are there? Exercise 2.5.43 (Section 1.6) Subtract 613 from 810. Exercise 2.5.44 (Solution on p. 149.) (Section 1.7) Add 35, 16, and 7 in two dierent ways. Exercise 2.5.45 (Section 2.3) Find the quotient 35 ÷ 0, if it exists. Exercise 2.5.46 (Solution on p. 149.) (Section 2.4) Find the quotient. 3654 ÷ 42. 2.6 Properties of Multiplication 6 2.6.1 Section Overview • The Commutative Property of Multiplication • The Associative Property of Multiplication • The Multiplicative Identity We will now examine three simple but very important properties of multiplication. 2.6.2 The Commutative Property of Multiplication Commutative Property of Multiplication The product of two whole numbers is the same regardless of the order of the factors. 2.6.2.1 Sample Set A Example 2.35 Multiply the two whole numbers. 6 · 7 = 42 7 · 6 = 42 The numbers 6 and 7 can be multiplied in any order. Regardless of the order they are multiplied, the product is 42. 6 This content is available online at . Available for free at Connexions
131 2.6.2.2 Practice Set A Use the commutative property of multiplication to nd the products in two ways. Exercise 2.6.1 (Solution on p. 149.) Exercise 2.6.2 (Solution on p. 149.) 2.6.3 The Associative Property of Multiplication Associative Property of Multiplication If three whole numbers are multiplied, the product will be the same if the rst two are multiplied rst and then that product is multiplied by the third, or if the second two are multiplied rst and that product is multiplied by the rst. Note that the order of the factors is maintained. It is a common mathematical practice to use parentheses to show which pair of numbers is to be combined rst. 2.6.3.1 Sample Set B Example 2.36 Multiply the whole numbers. (8 · 3) · 14 = 24 · 14 = 336 8 · (3 · 14) = 8 · 42 = 336 2.6.3.2 Practice Set B Use the associative property of multiplication to nd the products in two ways. Exercise 2.6.3 (Solution on p. 149.) Available for free at Connexions
Page 1:
Fundamentals of Mathematics By: Den
Page 4 and 5:
This selection and arrangement of c
Page 6 and 7:
iv 4.10 Prociency Exam . . . . . .
Page 8 and 9:
vi Available for free at Connexions
Page 10 and 11:
2 • Section Exercises • Exercis
Page 12 and 13:
4 Addition and Subtraction of Fract
Page 14 and 15:
6 Available for free at Connexions
Page 16 and 17:
8 minds to our suggestions and conc
Page 18 and 19:
10 CHAPTER 1. ADDITION AND SUBTRACT
Page 20 and 21:
Page 22 and 23:
Page 24 and 25:
Page 26 and 27:
Page 28 and 29:
Page 30 and 31:
Page 32 and 33:
Page 34 and 35:
Page 36 and 37:
Page 38 and 39:
Page 40 and 41:
Page 42 and 43:
Page 44 and 45:
Page 46 and 47:
Page 48 and 49:
Page 50 and 51:
Page 52 and 53:
Page 54 and 55:
Page 56 and 57:
Page 58 and 59:
Page 60 and 61:
Page 62 and 63:
Page 64 and 65:
Page 66 and 67:
Page 68 and 69:
Page 70 and 71:
Page 72 and 73:
Page 74 and 75:
Page 76 and 77:
Page 78 and 79:
Page 80 and 81:
Page 82 and 83:
Page 84 and 85:
Page 86 and 87:
Page 88 and 89: 80 CHAPTER 1. ADDITION AND SUBTRACT
Page 100 and 101: 92 CHAPTER 2. MULTIPLICATION AND DI
Page 108 and 109: 100 CHAPTER 2. MULTIPLICATION AND D
Page 162 and 163: 154 CHAPTER 3. 3.2 Exponents and Ro
Page 164 and 165: 156 3.2.4 Roots CHAPTER 3. EXPONENT
Page 166 and 167: 158 CHAPTER 3. EXPONENTS, ROOTS, AN
Page 172 and 173: 164 3.3.3.1 Sample Set B CHAPTER 3.
Page 184 and 185: 176 3.4.6.1 Sample Set C CHAPTER 3.
Page 188 and 189:
180 CHAPTER 3. EXPONENTS, ROOTS, AN
Page 190 and 191:
Page 192 and 193:
Page 194 and 195:
186 3.6.3.2 Practice Set B CHAPTER
Page 196 and 197:
188 3.6.5.2 Practice Set C CHAPTER
Page 198 and 199:
Page 200 and 201:
Page 202 and 203:
Page 204 and 205:
Page 206 and 207:
Page 208 and 209:
200 CHAPTER 3. Solutions to Exercis
Page 210 and 211:
Page 212 and 213:
Page 214 and 215:
Page 216 and 217:
Page 218 and 219:
Page 220 and 221:
Page 222 and 223:
214 CHAPTER 4. INTRODUCTION TO FRAC
Page 224 and 225:
Page 226 and 227:
Page 228 and 229:
220 4.2.6 Exercises CHAPTER 4. INTR
Page 230 and 231:
Page 232 and 233:
Page 234 and 235:
226 Thus, CHAPTER 4. INTRODUCTION T
Page 236 and 237:
Page 238 and 239:
Page 240 and 241:
Page 242 and 243:
Page 244 and 245:
236 4.4.3.1.1 Sample Set B CHAPTER
Page 246 and 247:
238 CHAPTER 4. 4.4.4 Raising Fracti
Page 248 and 249:
Page 250 and 251:
Page 252 and 253:
Page 254 and 255:
Page 256 and 257:
Page 258 and 259:
250 √ 9 100 = 3 10 Example 4.45 4
Page 260 and 261:
Page 262 and 263:
Page 264 and 265:
Page 266 and 267:
Page 268 and 269:
Page 270 and 271:
262 CHAPTER 4. 4.7.2 Multiplication
Page 272 and 273:
Page 274 and 275:
Page 276 and 277:
268 CHAPTER 4. 4.8 Summary of Key C
Page 278 and 279:
Page 280 and 281:
Page 282 and 283:
Page 284 and 285:
Page 286 and 287:
278 CHAPTER 4. Solutions to Exercis
Page 288 and 289:
Page 290 and 291:
Page 292 and 293:
Page 294 and 295:
Page 296 and 297:
Page 298 and 299:
Page 300 and 301:
Page 302 and 303:
Page 304 and 305:
296 CHAPTER 5. ADDITION AND SUBTRAC
Page 306 and 307:
Page 308 and 309:
Page 310 and 311:
Page 312 and 313:
304 5.3.4 Exercises CHAPTER 5. ADDI
Page 314 and 315:
Page 316 and 317:
Page 318 and 319:
Page 320 and 321:
Page 322 and 323:
Page 324 and 325:
Page 326 and 327:
CHAPTER 5. ADDITION AND SUBTRACTION
Page 328 and 329:
Page 330 and 331:
Page 332 and 333:
Page 334 and 335:
Page 336 and 337:
Page 338 and 339:
Page 340 and 341:
Page 342 and 343:
Page 344 and 345:
Page 346 and 347:
Page 348 and 349:
340 CHAPTER 6. DECIMALS • underst
Page 350 and 351:
342 CHAPTER 6. DECIMALS 4. 0.7 The
Page 352 and 353:
344 CHAPTER 6. DECIMALS 0.17 6.2.5.
Page 354 and 355:
346 CHAPTER 6. DECIMALS 6.2.6.1 Exe
Page 356 and 357:
348 CHAPTER 6. DECIMALS 4 + .006 1
Page 358 and 359:
Page 360 and 361:
352 CHAPTER 6. DECIMALS 6.4.3 Exerc
Page 362 and 363:
354 CHAPTER 6. DECIMALS Exercise 6.
Page 364 and 365:
356 CHAPTER 6. DECIMALS 841.0056 47
Page 366 and 367:
358 CHAPTER 6. DECIMALS The sum is
Page 368 and 369:
Page 370 and 371:
362 CHAPTER 6. DECIMALS Thus, 6.5
Page 372 and 373:
364 CHAPTER 6. DECIMALS Table 6.15
Page 374 and 375:
366 CHAPTER 6. DECIMALS 6.6.6.1 Sam
Page 376 and 377:
Page 378 and 379:
Page 380 and 381:
372 CHAPTER 6. DECIMALS 6.7.3 A Met
Page 382 and 383:
374 CHAPTER 6. DECIMALS Method of D
Page 384 and 385:
Page 386 and 387:
378 CHAPTER 6. DECIMALS 816.241 10)
Page 388 and 389:
Page 390 and 391:
382 CHAPTER 6. DECIMALS Table 6.29
Page 392 and 393:
384 CHAPTER 6. DECIMALS Repeating D
Page 394 and 395:
386 CHAPTER 6. DECIMALS .1818 11)2.
Page 396 and 397:
Page 398 and 399:
390 CHAPTER 6. DECIMALS .125 8)1.00
Page 400 and 401:
Page 402 and 403:
Page 404 and 405:
396 CHAPTER 6. DECIMALS 6.10.3 Exer
Page 406 and 407:
398 CHAPTER 6. DECIMALS 6.11 Summar
Page 408 and 409:
400 CHAPTER 6. DECIMALS 6.12.1.2 Co
Page 410 and 411:
Page 412 and 413:
404 CHAPTER 6. DECIMALS Solutions t
Page 414 and 415:
406 CHAPTER 6. DECIMALS Solution to
Page 416 and 417:
Page 418 and 419:
Page 420 and 421:
Page 422 and 423:
Page 424 and 425:
Page 426 and 427:
Page 428 and 429:
420 CHAPTER 7. RATIOS AND RATES 7.2
Page 430 and 431:
422 CHAPTER 7. RATIOS AND RATES are
Page 432 and 433:
424 CHAPTER 7. RATIOS AND RATES Exe
Page 434 and 435:
Page 436 and 437:
Page 438 and 439:
Page 440 and 441:
Page 442 and 443:
434 CHAPTER 7. RATIOS AND RATES Exa
Page 444 and 445:
Page 446 and 447:
Page 448 and 449:
440 CHAPTER 7. RATIOS AND RATES To
Page 450 and 451:
Page 452 and 453:
Page 454 and 455:
Page 456 and 457:
Page 458 and 459:
450 CHAPTER 7. RATIOS AND RATES Wha
Page 460 and 461:
452 CHAPTER 7. RATIOS AND RATES Do
Page 462 and 463:
Page 464 and 465:
Page 466 and 467:
Page 468 and 469:
460 CHAPTER 7. RATIOS AND RATES Per
Page 470 and 471:
Page 472 and 473:
Page 474 and 475:
466 CHAPTER 7. RATIOS AND RATES Sol
Page 476 and 477:
Page 478 and 479:
Page 480 and 481:
Page 482 and 483:
Page 484 and 485:
476 CHAPTER 7. RATIOS AND RATES Ava
Page 486 and 487:
478 CHAPTER 8. TECHNIQUES OF ESTIMA
Page 488 and 489:
Page 490 and 491:
Page 492 and 493:
Page 494 and 495:
Page 496 and 497:
Page 498 and 499:
Page 500 and 501:
Page 502 and 503:
Page 504 and 505:
Page 506 and 507:
Page 508 and 509:
Page 510 and 511:
Page 512 and 513:
Page 514 and 515:
Page 516 and 517:
Page 518 and 519:
Page 520 and 521:
Page 522 and 523:
514 CHAPTER 9. MEASUREMENT AND GEOM
Page 524 and 525:
Page 526 and 527:
Page 528 and 529:
Page 530 and 531:
Page 532 and 533:
Page 534 and 535:
Page 536 and 537:
Page 538 and 539:
Page 540 and 541:
Page 542 and 543:
Page 544 and 545:
Page 546 and 547:
Page 548 and 549:
Page 550 and 551:
Page 552 and 553:
Page 554 and 555:
Page 556 and 557:
Page 558 and 559:
Page 560 and 561:
Page 562 and 563:
Page 564 and 565:
Page 566 and 567:
Page 568 and 569:
Page 570 and 571:
Page 572 and 573:
Page 574 and 575:
Page 576 and 577:
Page 578 and 579:
Page 580 and 581:
Page 582 and 583:
Page 584 and 585:
Page 586 and 587:
578 CHAPTER 10. SIGNED NUMBERS 10.2
Page 588 and 589:
580 CHAPTER 10. SIGNED NUMBERS Some
Page 590 and 591:
582 CHAPTER 10. SIGNED NUMBERS Exer
Page 592 and 593:
Page 594 and 595:
Page 596 and 597:
Page 598 and 599:
Page 600 and 601:
Page 602 and 603:
594 CHAPTER 10. SIGNED NUMBERS Thus
Page 604 and 605:
Page 606 and 607:
Page 608 and 609:
600 CHAPTER 10. SIGNED NUMBERS Exam
Page 610 and 611:
602 CHAPTER 10. SIGNED NUMBERS We m
Page 612 and 613:
Page 614 and 615:
606 CHAPTER 10. SIGNED NUMBERS |
Page 616 and 617:
608 CHAPTER 10. SIGNED NUMBERS |
Page 618 and 619:
610 CHAPTER 10. SIGNED NUMBERS Disp
Page 620 and 621:
Page 622 and 623:
614 CHAPTER 10. SIGNED NUMBERS Addi
Page 624 and 625:
Page 626 and 627:
Page 628 and 629:
620 CHAPTER 10. SIGNED NUMBERS Solu
Page 630 and 631:
Page 632 and 633:
Page 634 and 635:
Page 636 and 637:
Page 638 and 639:
Page 640 and 641:
632 CHAPTER 11. ALGEBRAIC EXPRESSIO
Page 642 and 643:
Page 644 and 645:
Page 646 and 647:
Page 648 and 649:
Page 650 and 651:
Page 652 and 653:
Page 654 and 655:
Page 656 and 657:
Page 658 and 659:
Page 660 and 661:
Page 662 and 663:
Page 664 and 665:
Page 666 and 667:
Page 668 and 669:
Page 670 and 671:
Page 672 and 673:
Page 674 and 675:
Page 676 and 677:
Page 678 and 679:
Page 680 and 681:
Page 682 and 683:
Page 684 and 685:
Page 686 and 687:
Page 688 and 689:
Page 690 and 691:
Page 692 and 693:
Page 694 and 695:
Page 696 and 697:
Page 698 and 699:
Page 700 and 701:
Page 702 and 703:
694 INDEX Index of Keywords and Ter
Page 704 and 705:
696 INDEX Ÿ 3.4(172), Ÿ 3.5(180),
Page 706 and 707:
698 INDEX reading, Ÿ 1.3(15) readi
Page 708 and 709:
700 ATTRIBUTIONS Module: "Addition
Page 710 and 711:
702 ATTRIBUTIONS Module: "Multiplic
Page 712 and 713:
704 ATTRIBUTIONS Module: "Introduct
Page 714 and 715:
706 ATTRIBUTIONS Module: "Addition
Page 716 and 717:
708 ATTRIBUTIONS Module: "Decimals:
Page 718 and 719:
710 ATTRIBUTIONS Module: "Ratios an
Page 720 and 721:
712 ATTRIBUTIONS Module: "Technique
Page 722 and 723:
714 ATTRIBUTIONS Module: "Signed Nu
Page 724 and 725:
716 ATTRIBUTIONS Module: "Algebraic
Page 726:
Fundamentals of Mathematics Fundame
show all

Fundamentals of Mathematics, 2008a

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?