LESSON I INTRODUCTION TO THE KEYBOARD In lesson I, you will learn, by the touch method, the calculator keyboard. The touch method means that you do not look at the keys; you keep your eyes on the problem. The Homerow keys 4, 5, 6 The homerow keys are located in the middle of the keyboard. The other keys are found by reaching above or below this row. The 5 key usually has a small dot in the center. This enables you to find the homerow by feel. Use the index finger to key in 4 on the keyboard, the middle finger to key in the 5 and the ring finger to key in the 6. The little finger is used to key in the function keys. Set the decimal selector at zero to add whole numbers. Note: If you press a wrong key, you can clear the error before pressing the + key by pressing CE on the Electronic Calculator or Electronic Calculator Users INPUT: 44+ 45+ 54+ 55+ 56+ 65+ Windows Calculator Users INPUT: 44+ 45+ 54+ 55+ 56+ 65= Answer 319 Practice Problems using the Homerow Keys 1. 2. 3. 4. 5. 6. 44 66 65 56 54 45 45 56 45 64 46 65 56 66 64 56 65 55 656 666 555 444 654 465 544 664 665 545 464 645 56 456 4665 44 665 6465 7. 8. 9. 10. 11. 12. 4565 4564 65 4545 4644 666 456 654 644 54 455 444 4544 5544 6454 4544 6655 4566 4 45 54 46 66 5 666 646 655 645 464 555 65 56 444 66 5 4666 7 Practice Problems using the Homerow Keys 13. 14. 15. 16. 17. 18. 44 66 65 56 54 45 45 56 45 64 46 65 56 66 64 56 65 55 656 666 555 444 654 465 544 664 665 545 464 645 56 456 4665 44 665 6465 19. 20. 21. 22. 23. 24. 4565 4564 65 4545 4644 666 456 654 644 54 455 444 4544 5544 6454 4544 6655 4566 4 45 54 46 66 5 666 646 655 645 464 555 65 56 444 66 5 4666 25. 26. 27. 28. 29. 30. 656 6654 4544 5556 5445 4466 6645 4566 4566 5544 5566 6654 4455 5464 6666 5555 5544 4655 6545 5655 5555 6664 4445 4466 4666 6444 5466 6555 4664 5564 6444 4444 5554 6445 4665 5556 31. 32. 33. 34. 35. 36. 6654 4556 4656 6565 4456 4545 4665 4544 5555 5464 4665 5556 6545 6545 4444 5454 6444 4555 4565 4566 6666 5556 5465 6444 4646 6464 5454 5445 6465 4664 6456 4566 4664 5465 6666 4446 8 Practice Problems using the Homerow Key 1. 2. 3. 4. 5. 6. 54 46 45 44 46 56 46 56 44 46 64 65 44 54 54 44 54 65 65 44 44 65 65 65 56 56 54 55 56 54 65 45 64 66 55 64 7. 8. 9. 10. 11. 12. 54 44 54 66 56 45 45 56 64 66 54 46 64 65 66 46 65 54 56 45 54 64 55 44 44 44 55 65 44 54 46 54 44 66 56 55 13. 14. 15. 16. 17. 18. 464 646 445 454 666 444 465 555 465 444 566 556 554 665 646 555 655 664 565 656 456 666 544 665 665 464 554 566 455 564 465 666 555 566 466 665 19. 20. 21. 22. 23. 24. 6654 4556 4656 6565 4456 4545 4665 4544 5555 5464 4665 5556 6545 6545 4444 5454 6444 4555 4565 4566 6666 5556 5465 6444 4646 6464 5454 5445 6465 4664 6456 4566 4664 5465 6666 4446 25. 6656 6654 4544 5556 5445 4466 26. 6645 4566 4566 5544 5566 6654 27. 4455 5464 6666 5555 5544 4655 28. 6545 5655 5555 6664 4445 4466 29. 4666 6444 5466 6555 4664 5564 30. 6444 4444 5554 6445 4665 5556 9 Use the Upper Row of keys 7, 8, 9 Use the index finger to key in the 7 on the keyboard, the middle finger to key in 8, and the ring finger to key in the 9. Electronic Calculator Users INPUT: 77+ 78+ 89+ 88+ 99+ 98+ Windows Calculator Users INPUT: 77+ 78+ 89+ 88+ 99+ 98+ = ANSWER 529 Practice Problems using the Upper Row Keys 1. 2. 3. 4. 5. 6. 77 88 99 78 89 79 87 8 79 89 97 98 78 98 97 79 98 89 77 89 87 977 789 877 778 789 889 879 779 897 887 999 987 989 797 789 88 787 977 99 77 979 7. 8. 9. 10. 11. 12. 799 798 977 798 889 999 878 997 989 888 899 898 777 897 989 999 879 779 798 888 878 987 979 899 798 877 999 997 979 978 777 799 879 788 888 779 999 898 889 997 977 777 13. 14. 15. 16. 17. 18. 78 798 98 877 7987 79 88 97 899 87 988 8977 98 779 89 779 78 797 9787 89 879 778 798 888 989 9978 79 77 999 799 988 878 8978 778 89 977 889 889 787 7798 998 98 10 Practice Problems using the Upper and Home Row Keys 1. 2. 3. 4. 5. 6. 47 48 49 59 79 79 89 46 76 58 69 85 59 57 58 89 79 68 47 67 94 675 947 844 856 657 497 685 788 579 69 944 757 558 796 496 498 849 49 4 494 956 7. 8. 9. 10. 11. 12. 985 759 699 585 487 874 846 446 589 957 588 954 985 785 946 686 549 585 477 756 768 985 649 885 494 858 744 859 747 589 749 558 958 979 855 757 894 698 647 959 976 966 966 459 479 487 945 669 13. 14. 15. 16. 17. 18. 948 49 494 6858 9758 9696 499 4646 478 98 99 5849 9756 8585 9578 6885 774 758 858 5478 9658 7474 948 8889 757 7 47 9758 9647 6776 65 9998 485 787 74 9874 7485 4994 489 9799 585 88 7785 8579 6969 4958 44 589 19. 20. 21. 22. 23. 24. 6655 5469 9878 998 7558 45996 5585 4888 6688 5895 8745 9458 579 9585 6966 9765 8569 858 8789 8999 5689 5867 8596 9965 4778 9996 474 9785 9995 5497 9885 9658 7776 9548 7747 696 98547 8585 5879 98547 7458 555 7899 5585 965 58569 6486 5856 65978 9658 999 9454 9669 996 11 Use the Lower Row of keys 1, 2, 3 Use the index finger to key in 1 on the keyboard, the middle finger to key in the 2, and the ring finger to enter the 3. Electronic Calculator Users INPUT: 11+ 12+ 22+ 23+ 33+ 32+ Windows Calculator Users INPUT: 11+ 12+ 22+ 23+ 33+ 32+ = ANSWER 133 Practice Problems using the Lower Row Keys 1. 2. 3. 4. 5. 6. 12 22 23 32 33 23 22 31 23 33 32 21 23 12 11 21 323 111 231 123 132 311 322 231 212 321 123 321 312 122 131 113 232 312 311 213 131 321 223 111 222 133 13 132 333 12 332 11 7. 8. 9. 10. 11. 12. 1113 1131 3232 2231 1131 12331 2222 313 2231 3311 13112 1213 1332 2333 1133 1232 3333 3313 3222 2112 3313 3232 12311 211 2221 1111 12112 13112 2222 2332 32323 1231 1313 13121 2211 1311 3131 1113 31123 2223 2211 2113 13. 14. 15. 16. 17. 18. 2212 1323 1111 2121 22221 3332 123 1231 3213 11 22222 1312 2223 321 3333 3311 122 2113 13 2223 2113 33333 1112 13 3122 1121 1123 2112 32333 2222 3 12111 2312 31322 213 3213 32112 223 22222 32111 22113 1231 12 Practice Problems with vertical reaches using the Upper, Home, and Lower Keys 1. 2. 3. 4. 5. 6. 719 481 418 117 181 482 139 999 417 326 825 528 429 519 471 282 172 239 936 934 522 339 582 673 539 912 938 157 363 818 993 225 529 685 725 258 552 339 396 393 781 919 294 411 836 771 141 993 7. 8. 9. 10. 11. 12. 3939 8292 2288 9631 939 1779 3696 19328 9393 9828 2585 9671 822 97228 3669 93228 3737 8229 2825 1739 2797 9258 7131 88592 7373 9369 8258 2839 8525 5837 1893 7458 9379 9625 8525 1839 8525 9191 9182 52282 9379 85469 9636 9182 8222 3288 2589 22582 13. 14. 15. 16. 17. 18. 9595 33933 5469 2356 7528 1936 7414 5963 4949 5228 4798 4736 1265 663 8258 7282 7373 125 9452 7828 4849 414 9639 4212 2897 1825 5683 7838 6393 448 7117 1358 7711 1883 3228 6619 2479 7288 2882 3122 1717 1829 1936 3293 99288 4682 3939 5522 19. 20. 21. 22. 23. 24. 2211 8223 22585 2469 8222 22119 77771 44464 1479 1928 2127 8852 1197 665 21933 82825 5228 871 1628 2229 7191 52828 277 3917 1425 77338 8411 19792 8997 29336 6954 3698 5261 91732 1595 5272 7643 6382 2398 7373 6639 17171 91735 63172 96211 7129 1973 82852 13 Use the Zero key 0 The zero key is indexed with the right side of the thumb. Some bookkeepers and accountants key in the zero with the index finger. Calculators may be equipped with one, two, or three zero keys. The multi-zero keys are used to save time in entering items with more than one zero next to each other. Electronic Calculator Users INPUT: 10+ 20+ 30+ 40+ 50+ 60+ Windows Calculator Users INPUT: 10+ 20+ 30+ 40+ 50+ 60+ = ANSWER 210 Practice Problems using the Zero key 1. 2. 3. 4. 5. 6. 40 50 70 990 20 60 60 40 80 90 50 50 504 606 907 70 40 405 600 505 508 820 650 802 500 200 207 201 450 508 303 100 60 103 310 404 7. 8. 9. 10. 11. 12. 004 085 505 5208 900 2008 005 052 089 5907 2200 808 4303 004 089 093 1010 2080 208 1001 003 980 930 3103 1000 309 2002 002 066 820 1080 4506 7100 3003 001 600 701 6080 7090 8520 4050 031 13. 14. 15. 16. 17. 18. 300 900 500 303 506 090 200 800 500 202 606 080 100 700 650 100 460 070 600 740 640 101 680 060 500 850 320 203 900 050 400 960 120 300 800 040 14 Review of Vertical and Horizontal reaches and the Zero key 1. 2. 3. 4. 5. 6. 709 440 983 194 229 511 263 379 130 227 290 305 850 791 382 717 121 138 814 908 930 819 725 710 564 140 712 291 858 662 608 816 606 528 902 179 229 983 720 980 480 173 257 468 474 674 809 127 7. 8. 9. 10. 11. 12. 1212 2021 2015 4000 125 610 5821 3221 2122 3425 350 502 120 5680 51 310 405 1040 145 2150 9090 305 3630 11215 115 2233 5500 6030 2000 3314 3200 50 1152 2650 3036 1230 404 52 345 10055 3111 8520 13. 14. 15. 16. 17. 18. 6682 70 7878 86543 7309 4049 19886 9172 2179 9336 4477 6600 1358 17856 13420 9324 8080 1452 5588 9633 79058 2164 17286 7982 6039 2596 6699 8255 64624 478 39842 7140 22822 4546 1100 4471 2840 3003 37108 7369 20 8225 46689 4664 376 88297 31994 7140 19. 20. 21. 22. 23. 24. 4662 703 2093 5862 74106 6841 5874 9857 2871 7159 1211 3442 80527 6125 3968 3498 6813 9034 4375 63391 6748 9589 8345 8652 428 2352 2128 58196 39350 3407 7017 7654 3657 6238 2057 2738 40560 5987 8249 2667 4550 6211 9798 9253 68441 1732 7949 3764 15 LESSON II DECIMALS IN ADDITION In office environments your work on the calculator will commonly involve working with dollars and cents. For this reason calculators have a decimal selector setting which allows you to change the location of the decimal. The location depends on the type of numbers you are working with. There are three basic settings: 1. A fixed decimal depending on the capacity of your calculator (0, 2, 3, 4). 2. Float setting used to obtain the maximal decimal accuracy within the calculator’s memory. 3. Add-mode (+) setting used when entering dollars and cents or when a problem calls for two decimal places. The following Practice Problems for Electronic Calculators will allow you to practice the add mode setting. Set the decimal selector at add mode (+) to work the following problems. Electronic Calculator Users INPUT: 666+ 238+ 139+ 768+ 852+ Windows Calculator Users INPUT: 6.66+ 2.38+ 1.39+ 7.68+ 8.52+ = ANSWER 26.63 ***Windows calculator users must remember to key the decimal. Practice Problems 1. 2. 3. 4. 5. 6. $1.17 6.21 3.71 9.38 1.02 8.00 $4.05 8.25 8.15 8.34 5.58 3.46 $6.32 4.75 3.69 4.72 1.83 2.14 $7.62 9.16 9.68 5.73 2.86 9.47 $4.08 7.32 7.92 6.77 3.56 8.67 $5.37 7.96 6.60 2.08 6.57 9.80 7. 8. 9. 10. 11. 12. $4.56 5.40 6.60 4.65 6.65 8.00 3.56 $1.23 4.88 7.89 3.39 3.33 3.46 2.20 $7.15 6.11 5.07 5.82 3.89 7.65 4.44 $3.03 5.11 6.25 1.23 7.77 9.48 2.89 $4.00 2.50 4.60 9.19 9.08 3.03 1.55 $14.66 55.31 75.66 12.21 10.55 11.77 29.29 16 Practice Problems using Add Mode 1. 2. 3. 4. 5. 6. $75.40 40.25 45.00 35.50 25.40 11.25 71.20 69.50 $12.20 98.50 78.80 14.55 14.50 29.70 93.00 82.25 $37.62 75.55 96.50 36.50 36.66 37.01 27.00 42.75 $10.51 59.00 84.15 97.45 59.95 81.91 73.30 75.50 $78.00 73.20 85.00 54.65 87.55 17.93 10.00 20.30 $45.60 12.20 85.25 23.56 88.25 28.07 28.85 87.95 7. 8. 9. 10. 11. 12. $75.50 92.03 15.59 131.05 704.15 162.50 14.95 168.50 $20.30 59.75 77.98 9.95 172.25 .65 119.70 1.75 $21.55 468.45 32.55 .50 495.00 78.95 78.45 80.45 $54.00 9.80 118.60 39.00 38.50 428.50 4.60 .02 $656.30 29.04 612.25 .07 3.50 25.25 2.75 228.52 $73.20 3.95 443.20 549.65 17.75 56.65 125.00 319.63 13. 14. 15. 16. 17. 18. $36.54 11.15 10.65 206.80 .35 100.05 44.50 11.47 $6.38 9.17 47.15 77.50 7.65 160.70 27.25 .83 $5.95 84.65 78.10 3.75 112.05 22.10 6.95 .39 $46.81 77.52 12.49 15.30 .50 4.55 .83 54.50 $35.68 8.85 5.65 188.60 11.50 12.45 11.47 440.10 $23.24 73.95 9.98 455.40 78.55 111.75 59.63 65.50 19. 20. 21. 22. 23. 24. $7.70 20.00 21.01 452.88 106.57 .95 162.75 5.44 $96.03 275.00 14.45 545.00 39.05 7.00 296.00 504.75 $7.70 4.70 76.39 32.30 3.90 201.60 27.30 4.58 $10.85 .89 1.25 86.10 101.50 22.50 33.46 2.57 $.45 .95 406.11 19.66 4.95 88.00 22.22 34.60 $455.52 7.25 .50 7.50 25.05 80.90 .39 74.25 17 LESSON III ADDITION USING THE SUBTOTAL KEY AND REPEATED NUMBERS A subtotal is a total up to a point, an interim number. In business applications, sometimes it is necessary to subtotal a series of numbers before coming to a final total. On the Computer Calculator a subtotal is shown after each entry, however on a printing calculator the subtotal key must be pressed to print the subtotal on the tape register. To obtain a subtotal press the with your pinky, or thumb if you are left handed. The repeat feature allows you to enter the last number on display or tape by simply pressing the + or – function key. This eliminates the need to re-enter the number using the number keyboard. Electronic Calculator users set the decimal selector on add two (+) and practice the following problems using the above features. Electronic Calculator Users INPUT: 487273+ + 354595+ 71905+ + 235689+ 110092+ Windows Calculator Users INPUT: 4872.73+ 4872.73+ 3545.95+ 719.05+ 719.05+ 2356.89+ 1100.92+ = ANSWER 18,187.32 ***Windows calculator users must remember to key the decimal. Practice Problems $ 1. 2. 3. 4. 5. 6. $45.18 29.16 29.16 $76.86 76.86 13.38 $92.66 25.26 25.26 $42.19 42.19 10.10 $19.93 21.71 61.80 $21.21 30.30 19.09 s s s s s s 13.67 13.67 123.73 18.10 29.29 290.29 2.03 2.03 33.30 11.80 100.80 9.93 268.88 268.88 91.09 7.92 191.67 191.67 19.00 59.33 55.50 10.82 20.28 20.28 T $ T $ T $ 18 T $ T $ T Additional Practice Problems $ 1. 2. 3. 4. 5. 6. $12.35 12.35 228.82 1.16 $24.76 569.87 569.87 569.87 $3.59 754.53 754.53 35.00 $51.00 51.00 51.00 26.97 $10.01 20.06 20.06 15.00 $8.68 8.68 353.73 353.73 s s s s s s 79.08 7.98 7.98 79.08 987.68 9.68 28.82 28.82 22.82 22.28 28.28 28.28 14.00 15.14 15.14 14.00 252.25 252.25 25.52 25.25 19.91 19.91 91.91 91.91 T $ T $ T $ T $ T $ T 7. 8. 9. 10. 11. 12. $205.00 205.00 205.05 $5015.00 5015.00 5150.00 $357.98 357.98 573.98 $35.95 35.59 35.59 $93.99 93.39 93.99 $82.22 82.82 82.22 s s s s s s 205.50 25.55 25.55 205.50 505.00 55.55 55.55 56.55 73.98 7.39 7.39 7.93 53.95 53.95 95.59 95.59 9.39 9.39 9.39 9.93 2.82 82.82 82.82 28.28 $ $ T $ T $ T $ T $ T $ T 13. 14. 15. 16. 17. 18. $95.12 95.12 12.95 12.95 $84.37 84.37 128.43 128.43 $821.12 821.21 821.21 821.21 $71.93 71.93 71.39 997.39 $21.42 21.24 21.24 24.42 $86.67 863.67 863.67 863.67 s s s s s s 995.12 9.12 9.21 128.43 128.43 128.40 121.21 12.21 12.20 9.97 9.97 9.77 24.40 24.40 24.41 86.67 86.67 8.67 T $ T $ T $ 19 T $ T $ T LESSON IV SUBTRACTION To determine a checking account balance or to determine how much is left after expenditures, the subtraction operation is used. These are just two common tasks accomplished using the basic math skill known as subtraction. Subtraction is determining the difference between two numbers. The main purpose of the minus key (– ) is to subtract numbers or correct a number you might have entered in the machine incorrectly. Subtracting an incorrect number is accomplished by using the repeat feature you learned previously and the (–) key. When subtracting a number on the electronic display/printing calculator the (–) key will follow the number you are subtracting. On a pocket calculator the (–) sign is pressed before the number you are subtracting. Electronic Calculator Users set the decimal selector on 0 and practice subtraction of whole numbers. Electronic Calculator Users INPUT: 495 + (Minuend) 235 - (Subtrahend) Windows Calculator Users INPUT: 495 (Minuend) 235 = (Subtrahend) ANSWER 260 435 -235 260 (Difference) Practice Problems 1. 2. 3. 4. 5. 6. 256 –188 456 –132 324 –24 456 –122 765 –556 234 –122 7. 8. 9. 10. 11. 12. 681 –119 716 –107 561 –295 365 –122 722 –103 321 –95 13. 14. 15. 16. 17. 18. 997 –226 953 –528 835 –693 285 –281 473 –282 851 –693 19. 20. 21. 22. 23. 24. 393 –282 9631 –9528 8532 –5828 7438 –4383 9155 –8193 8766 –6080 20 When the subtrahend is greater than the minuend this results in a credit balance (CR). A Credit balance is indicated on the tape register with the difference shown in red or a minus sign printed before the difference. Electronic Calculator Users set the decimal selector on add mode ( + ) . Electronic Calculator Users INPUT: 16799+ 22000- Windows Calculator Users INPUT: 167.99220.00 = ANSWER -52.01 ***Windows Calculator users key the decimal. Practice Problems 1. 2. 3. 4. 5. 6. 73.85 –.93 66.29 –67.86 3751.62 –28.67 64.60 –12.99 812.40 –969.93 19.19 –20.00 7. 8. 9. 10. 11. 12. 371.84 –520.00 844.68 –628.82 8.54 –10.00 905.47 –72.10 32.94 –30.83 500.00 –51.00 13. 14. 15. 16. 17. 18. 382.26 –676.26 483.39 –492.26 126.97 –300.00 28.97 –29.97 36.36 –74.34 123.49 –236.49 19. 20. 21. 22. 23. 24. 631.10 –696.31 453.25 –492.25 741.14 –741.14 552.25 –528.25 1793.63 –1786.63 2939.34 3000.00 25. 26. 27. 28. 29. 30. 200.00 –205.00 1474.14 –1474.14 148.96 –202.22 121.21 –100.00 282.82 –293.36 441.14 –445.85 31. 32. 33. 34. 35. 36. 1171.28 –696.28 282.19 –290.25 9783.28 –7415.28 417.21 –585.21 7983.28 –97.39 114.52 –185.71 21 Addition and Subtraction of Whole Numbers Electronic Calculator Users set the decimal selector at zero (0) to practice the following problems. 1. 2. 3. 4. 5. 6. 475 –365 190 –190 –25 609 702 805 198 120 120 –693 919 870 981 –543 705 383 792 –201 22 –780 609 131 346 –226 282 –63 637 –256 –208 415 950 –305 147 –22 711 –210 –670 626 985 –198 698 –96 –282 –24 989 217 7. 8. 9. 10. 11. 12. 8,306 363 199 –1,919 55 10 –2,525 –397 8,711 289 –825 198 929 51 –701 701 7,651 686 –464 –500 990 173 –2,922 1,908 6,502 191 –717 741 –633 800 2,988 425 2,262 250 6,804 –910 –101 –101 941 82 5,836 808 4,710 –2,220 –660 660 345 828 13. 14. 15. 16. 17. 18. 3,855 528 –825 969 –96 179 6,724 –552 3,086 619 –278 –165 987 –466 9,514 –1,335 3,826 263 –169 –748 255 –641 5,524 –3,357 2,771 963 –373 528 460 –898 4,043 –840 7,056 930 –169 –173 –2,702 175 5,524 –283 2,741 169 –471 –148 664 –596 6,407 –2,470 19. 20. 21. 22. 23. 24. 509 –32 728 –398 –768 970 460 6,814 –6,031 266 –320 –708 860 59 7,465 –810 204 –708 –610 281 347 2,367 –1,905 204 –610 –539 179 91 8,446 –2,025 837 –538 –289 654 512 591 –512 710 –550 –937 383 6,037 22 Electronic Calculator Users set the decimal selector on add mode (+) 1. 2. 3. 4. 5. 6. 237.65 237.65 128.30 486.73 490.74 192.92 –20.52 345.95 571.29 252.00 –508.08 562.81 37.95 945.73 945.73 991.43 66.69 –66.99 200.85 246.81 369.96 –369.92 191.91 786.25 s s s s s s. 323.32 323.32 323.80 –761.88 962.59 674.89 –674.89 24.06 345.02 14.17 164.81 738.12 371.11 59.36 16.44 8.88 345.76 345.76 22.85 508.80 427.85 –513.67 297.99 3.93 T T T T T T 7. 8. 9. 10. 11. 12. .89 .50 –19.66 4.95 21.01 36.59 –7.50 25.00 14.45 7.60 –106.57 .95 76.39 545.00 –39.05 .70 1.25 32.30 3.09 –21.60 406.11 86.10 101.50 –22.50 s s s s s s 439.60 –6.95 8.87 9.56 9.47 406.99 60.25 35.85 110.45 79.40 –76.55 8.60 200.70 –4.99 .66 –.39 –121.19 305.19 T T T T T T 13. 14. 15. 16. 17. 18. 93.15 74.25 26.50 24.50 305.06 34.60 302.50 –.45 66.35 –2.57 21.89 .20 239.15 –46.05 –6.65 –12.50 .33 9.50 .49 –2.50 68.50 10.00 –1.05 –22.50 s s s s s s –34.50 607.95 11.15 –56.75 36.54 9.17 –11.50 6.38 84.65 211.26 46.81 77.52 132.25 –35.68 8.85 21.37 23.24 73.35 T T T T T T 23 LESSON V MULTIPLICATION Multiplication is a very fast and simple process for achieving repeated addition. One use of multiplication in business environments is determining the final amount owed when purchasing more than one of the same product for the same cost. There are three terms that identify the parts of a multiplication problem: 1. multiplicand - the number that is multiplied by the multiplier 2. multiplier - number that indicates how many times to multiply DECIMALS IN MULTIPLICATION The decimal indicator (+,F,0,2,3,4) allows you to round off your answer at a fixed number of decimal places. If your calculator has a rounding switch it will provide either rounded or unrounded answers. a. To obtain rounded answers at a fixed number of decimal places, set the decimal indicator on (0, 2, 3, or 4,) and the rounding switch on 5/4. b. To obtain unrounded answers, set the decimal indicator on (F). This allows you to manually round your answers. 3. product - the result from the multiplication process Electronic Calculator Users INPUT: 262 X 14 = Windows Calculator Users INPUT: 262 X 14 = ANSWER 3,668 Practice Problems Set the decimal indicator on (0). 1. 336 × 22 = 2. 79 × 11 = 3. 142 × 19 = 4. 542 × 14 = 5. 52 × 37 = 6. 226 × 16 = 7. 478 × 65 = 8. 13 × 60 = 9. 399 × 18 = Set the decimal indicator on (4). Reminder: the decimal point must be input 1. 9.36 × .22 = 2. 4.28 × 43 = 3. 6.67 × .8 = 4. 4.63 × 1.81= 5. 90.8 × 6.77 = 6. 1.39 × .22 = 7. 2.06 × 8.29 = 8. .017 × 7.27 = 9. 9.91 × 3.9 = 24 Set the decimal indicator on (F). 1. 4. 7. 10. 13. 3.36 × .93 = 8.48 × 1.22 = 8.93 × 7.17 = 12.12 × 6.21 = 61.62 × 14.44 = 2. 5. 8. 11. 14. 2.95 × .3 = 90.8 × 62.3 = 10.2 × 26.66 = 75.57 × 2.01 = 1.18 × 9.97 = 3. 6. 9. 12. 15. 4.22 × 6.18 = 6.25 × .88 = 1.10 × 71.72 = 8.05 × 41.66 = 83.1 × 17.2 = Complete the following invoice. Unlimited Supplies Corporation 1212 Terrace Lane San Diego, CA 92154 Sold to: Quantity Invoice #15-665 April 15, 20xx Automated Accounting Services 3254 El Camino Real Vista, CA 92083 Terms: Net 30 Days Description Unit Price Total Amount 1,200 .5m pencil leads .075 $ 2,000 Letter size envelopes-grey .082 $ 175 Red file folders 8x11 .10 $ 150 Blue file folders 8x11 .10 $ 50 Blue ink pens .035 $ 10 Scotch tape rolls .33 $ 10 Felt stamp pad 1.19 $ 25 3 ½" 5 slot disk holders .99 $ 15 500 sheets laser paper 8x11 6.67 $ 50 Black ink pens .035 $ 5 Color Cartridge PRI-2066 32.10 $ TOTAL AMOUNT DUE $ 25 LESSON VI CONSTANT MULTIPLICATION The constant key is used when you are multiplying several numbers by the same multiplier. ( Ex: 10 × 2 = ; 25 × 2 = ; 32 × 2 = ) The repeated number (known as the constant) is a number that is used two or more times in a mathematical calculation. It needs to be entered once on the electronic calculator as long as it recurs in sequence. On many calculators the constant is an automatic function of the machine and not identified by any special key. On the Canon MP12D calculator you enter the multiplier (constant) first, then the multiplicand. Some machines have a constant key (K) and others require you to enter the multiplicand followed by the constant first. You may want to check with your instructor or manufacturer's manual to see how your machine handles this function. The following exercises are for Electronic Calculator Users only. EX: 675 × 250 = 168,750 654 × 250 = 163,500 619 × 250 = 154,750 INPUT: 250 × 675 = 654 = 619 = Answer 154,750 Apply Your Skills Set the decimal indicator at zero when using whole numbers. 1. 329 × 129 = 2. 905 × 125 = 3. 65 × 14 = 917 × 129 = 363 × 125 = 84 × 14 = 717 × 129 = 326 × 125 = 31 × 14 = 110 × 129 = 632 × 125 = 91 × 14 = 226 × 129 = 105 × 125 = 74 × 14 = 4. 652 × 225 = 5. 401 × 191 = 6. 42 × 25 = 992 × 225 = 369 × 191 = 28 × 25 = 124 × 225 = 441 × 191 = 93 × 25 = 366 × 225 = 767 × 191 = 84 × 25 = 301 × 225 = 193 × 191 = 10 × 25 = 26 When multiplying problems that contain decimals, count the decimal places in the multiplicand and the multiplier. Set the decimal indicator at that number. If the maximum number of decimal places are needed for your problem set the decimal indicator on the (F) float position. The following exercises are for Electronic Calculator Users only. Set the decimal indicator at four (4). Key in the decimal points. 1. 3.69 × 2.82 = 2. 2.34 × 7.14 = 3. 2.82 × 1.99 = 7.89 × 2.82 = 1.67 × 7.14 = 9.99 × 1.99 = 2.02 × 2.82 = 4.65 × 7.14 = 1.91 × 1.99 = 8.05 × 2.82 = 1.25 × 7.14 = 4.56 × 1.99 = 9.87 × 2.82 = 2.46 × 7.14 = 7.12 × 1.99 = 1.28 × 2.82 = 6.54 × 7.17 = 1.99 × 1.99 = 4. 2.05 × 1.16 = 5. 1.81 × 6.61 = 6. 2.93 × 2.22 = 1.18 × 1.16 = 9.91 × 6.61 = 7.17 × 2.22 = 2.22 × 1.16 = 6.61 × 6.61 = 8.82 × 2.22 = 9.31 × 1.16 = 8.88 × 6.61 = 7.27 × 2.22 = 1.16 × 1.16 = 4.46 × 6.61 = 4.44 × 2.22 = 5.52 × 1.16 = 7.31 × 6.61 = 2.22 × 2.22 = 7. 5.51 × 2.00 = 8. 6.61 × 2.20 = 9. 4.42 × 2.30 = 2.00 × 2.00 = 1.14 × 2.20 = 2.89 × 2.30 = 3.96 × 2.00 = 4.96 × 2.20 = 8.81 × 2.30 = 4.42 × 2.00 = 5.01 × 2.20 = 1.93 × 2.30 = 8.00 × 2.00 = 9.36 × 2.20 = 3.75 × 2.30 = 1.91 × 2.00 = 7.75 × 2.20 = 6.66 × 2.30 = 27 LESSON VII DIVISION Division is the process for determining the number of times one number is contained in another number. A division problem consist of three parts: 1. the dividend - number that is being divided 2. divisor - number by which to divide 3. solution - (quotient) answer to the problem If the dividend cannot be divided equally, the amount left over is called the remainder. Remember when working division problems set the decimal indicator for the number of decimal places desired in the solution. Dividend Divisor Solution 528 4 = 132 Electronic Calculator Users INPUT: 528 4 = Windows Calculator Users INPUT: 528 4 = Answer 132 Practice Problems Electronic Calculator Users set the decimal indicator at zero. Remember to enter the decimal point just as it appears in the problem. ****Windows Calculator Users’ answers will vary from the Answer Key because the solution will not be rounded by the decimal indicator. 1. 677 46 = 2. 24,520 26 = 3. 68.479 9.3 = 4. 133 22 = 5. 26,671 19 = 6. 13.323 5.7 = 7. 299 10 = 8. 19,991 31 = 9. 13.713 2.2 = 10. 369 20 = 11. 28,584 69 = 12. 17.843 6.9 = 13. 5,486 44.8 = 14. 215.79 7.3 = 15. 24.378 0.69 = 16. 349 71.31 = 28 Electronic Calculator Users set the decimal indicator at two (2) and the round-off switch at 5/4. Two decimal places states the answer to the hundredths. 1. 49.76 37 = 2. 12 11.12 = 3. 125.9 70.2 = 4. 11.95 29 = 5. 18 6.223 = 6. 181.2 19.9 = 7. 48.32 11 = 8. 10 2.222 = 9. 715 262.24 = 10. 66.48 18 = 11. 35 4.696 = 12. 846.9 49.7 = 13. 79.16 37 = 14. 26 7.168 = 15. 486 94.3 = 16. 564.9 7.53 = Electronic Calculator Users set the decimal indicator at three (3). Three decimal places states the number to the thousandth place. 1. 4,536 11 = 2. 304 27 = 3. 129 25.5 = 4. 89.95 24 = 5. 1,212 2.2 = 6. 321 56 = 7. 1,299 27 = 8. 219 108 = 9. 289.9 23 = 10. 543.8 9 = Electronic Calculator Users set the decimal indicator at (F) float. The float position states the number as many places as the memory of your calculator. 1. 13 .33 = 2. 73.33 36.67 = 3. 243 67 = 4. 898 14.88 = 5. 11.95 4.38 = 6. 125.9 70.62 = 7. 43.4 .69 = 8. 672.3 93.75 = 9. 8.301 7.08 = 10. 49.8 1.648 = 11. 16.89 .795 = 12. 31.59 9.468 = 29 LESSON VIII LEARNING THE MEMORY FEATURE The memory feature on the electronic calculator allows you to store numbers which may be recalled when needed for calculation. Four memory keys are normally found on the electronic calculator. (M+) key is used to add the total into the memory; (M–) subtracts the total from the memory; (M) gives you a subtotal of the memory without clearing the memory; and (M*) key gives you the grand total and clears the memory. Often when calculating problems it is necessary to accumulate totals of several column totals. The following exercises are for Electronic Calculator Users. Key in the following problem as an example. 315 426 +515 1,256 89 393 +28 510 52 131 +2319 2,502 4,268 GRAND TOTAL ELECTRONIC CALCULATOR INPUT: 315 426 515 + + + * 89 393 M+ + + 28 52 + 131 + + * M+ 2,319 + * M+ M* Answer 4,268 Work the following problems using the memory function. 354 465 647 273 158 492 188 859 1. 209 610 830 428 567 490 837 212 2. 411 525 728 950 177 335 483 828 3. 289 335 148 562 482 885 938 174 4. 438 403 994 900 850 678 322 767 6. 900 137 916 753 446 493 628 623 7. 678 383 303 537 710 294 679 446 8. 456 994 245 529 345 382 191 578 9. 30 5. Grand total 10. Grand total Accumulation of Sums (Continued) Work the following problems by using the memory keys. Add the memory subtotal key (M) for accumulation as you go along and the (M*) for accumulation of the grand total of the page. Practice Problems 855 47 780 195 93 11 356 1. 168 14 962 168 82 19 137 2. 122 12 292 238 17 92 894 3. 145 13 428 192 25 88 395 4. 66 710 10 130 191 152 6. 978 208 828 20 701 974 7. 654 471 890 302 906 702 8. 285 132 906 13 130 97 9. 237 –62 131 –292 598 121 11. 985 –74 –682 –121 734 991 12. 248 282 147 –431 691 –393 13. 975 976 –828 255 –100 93 14. 181 936 –223 –33 109 211 99 16. 939 774 –822 –57 413 –120 637 17. 731 222 110 –585 621 –252 71 18. 168 117 –258 –194 383 19 220 19. 31 5. subtotal 10. subtotal 15. subtotal 20. Grand Total Accumulation of Products The memory keys are helpful when you have to accumulate totals of several products. An example of this function is in preparing invoices and verifying invoices. Key in the following problem as an example. Set the decimal selector at two (2). QUANTITY DESCRIPTION UNIT PRICE EXTENSION 20 10 15 $ 2.25 1.50 3.50 $ 45.00 15.00 53.00 Desk Calendars Address books Staplers TOTAL $112.50 ELECTRONIC CALCULATOR INPUT: 20 × 2.25 M + 10 × 1.50 M + 15 × 3.50 M + M* Answer 112.50 Complete the following invoice using the memory function keys. QUANITY 22 15 50 150 25 10 35 35 15 20 10 30 DESCRIPTION Pencil sharpener Stamp dispenser Mechanical pencil Medium pt. pens MP12D calculator Drafting calculator .5mm lead refill .9mm lead refill Calendar refill Masking tape 3 Ring folder Legal Pad TOTAL PRICE $ 5.25 1.00 3.50 .25 29.95 14.95 .415 .395 2.25 .50 .25 .50 EXTENSION $ 32 Accumulation of Quotients/Solutions Accumulation of quotients (solutions) in the division process is similar to accumulation of products in the multiplication process. Key in the following problem as an example. Set the decimal indicator at two (2). 2142 15 = 142.80 Grand Total = 409.96 3230 33 = 97.88 4232 25 = 169.28 ELECTRONIC CALCULATOR INPUT: 2142 15 M+ 3230 33 M+ 4232 25 M+ M* Answer 409.96 Set the decimal indicator at two (2) and work the following problems using the memory function keys. 1. 4167 245 = 3189 304 = 1235 355 = 5166 226 = 2. 4509 245 = 1648 446 = 3373 267 = 2227 182 = Grand Total Grand Total 3. 1955 54 = 3932 18 = 1921 47 = 3451 32 = 4. 1886 818 = 8341 211 = 1921 111 = 9342 673 = Grand Total Grand Total 5. 2.99 .67 = 8.01 .99 = 3.99 .80 = 7.01 .71 = 6. 15.67 1.89 = 93.39 8.82 = 82.82 9.72 = 19.19 3.93 = Grand Total Grand Total 7. 7172 232 = 2822 991 = 1234 466 = 7171 821 = 8. 1919 838 = 1118 919 = 9312 991 = 3313 937 = Grand Total Grand Total 33