Soal Nomor 7
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Tugas teori bilangan hari senin, 27 oktober 2009-10-27 Kelas : S 8 i 1. Anwar Hidayat
(08108244171)
2. Nita Wulan .A.
(07108248388)
3. Iqbal .Y.
(08108249129)
4. Eka Krisna .S.
(08108249141)
5. Laela .F.
(07108248263)
6. Afri Aini .M.
(08108249142)
7. Salisatun .N.
(08108249109)
8. Imam Abdul .R.
(08108249108)
9. Anggun Fajar .N.
(08108249143)
Soal nomor 7 : Dengan menggunakan pengali ( multiplier ) tunjukan apakah masing-masing bilangan berikut habis dibagi oleh 7, 11, 13, 17, dan 29 . a. 2134524559132 b. 6971132456921 c. 5513242314437 d. 7132611455213 e. 9782136613225 Jawab : a. 7 multiplier 2 2134524559132 213452455913 - 2 (2) = 21345245599 2134524559 - 2 (9) = 2134524541 213452454 - 2 (1) = 213452452 21345245 - 2 (2) = 21345241 2134524 - 2 (1) = 2134522 213452 - 2 (2) = 213448 21344 - 2 (8) = 21328 2132 - 2 (8) = 2116 211 - 2 (6) = 199 199 tidak habis dibagi 7 11 multiplier 1 2134524559132 213452455913 - 2 = 213452455911 21345245591 - 1 = 21345245590
2134524559 - 1 = 2134524559 213452455 - 9 = 213452446 21345244 - 6 = 21345238 2134523 - 8 = 2134515 213451 - 5 = 213446 21344- 6 = 21338 2133 - 8 = 2125 212 - 5 = 207 207 tidak habis dibagi 11 13 multiplier 9 2134524559132 213452455913 - 9 (9) = 213452455886 21345245588 - 9 (6) = 21345245534 2134524553 - 9 (4) = 2134524517 213452451 - 9 (7) = 213452388 21345238 - 9 (8) = 21345166 2134516 - 9 (6) = 2134462 213446 - 9 (2) = 213428 21342 - 9 (8) = 21270 2127 - 9 (0) = 2127 212 - 9 (7) = 149 149 tidak habis dibagi 13 17 multiplier 5 2134524559132 213452455913 - 5 (2) = 21345245593 2134524559 - 5 (3) = 2134524544 213452454 - 5 (4) = 213452434 21345243 - 5 (4) = 21345223 213422 - 5 (3) = 213457 21345 - 5 (7) = 21310 2131 - 5 (0) = 2131 213 - 5 (1) = 208 208 tidak habis dibagi 17 29 multiplier 26 2134524559132 213452455913 - 26 (2) = 213452455861 21345245586 - 26 (1) = 21345245560 2134524556 - 26 (0) = 2134524556 213452455 - 26 (6) = 213452299 21345229 - 26 (9) = 21344995 2134499 - 26 (5) = 2134369 213436 - 26 (9) = 213202 21320 - 26 (2) = 21268
2126 - 26 (8) = 1918 1918 tidak habis dibagi 29 b.
7 multiplier 2 6971132456921 697113245692 - 2 (1) = 697113245690 69711324569 - 2 (0) = 69711324569 6971132456 - 2 (9) = 6971132 438 697113243 - 2 (8) = 697113227 69711322 - 2 (7) = 69711308 6971130 - 2 (8) = 6971114 697111 - 2 (4) = 697103 69710 - 2 (3) = 69704 6970 - 2 (4) = 6962 696 - 2 (2) = 692 69 - 2 (2) = 65 65 tidak habis dibagi 7 11 multiplier 1 6971132456921 697113245692 - 1 = 697113245691 69711324569 - 1 = 69711324568 6971132456 - 8 = 6971132448 697113244 - 8 = 697113236 69711323 - 6 = 69711317 6971131 - 7 = 6971124 697112 - 4 = 697108 69710 - 8 = 69702 6970 - 2 = 6968 696 - 8 = 688 68 - 8 = 60 60 tidak habis dibagi 11 13 multiplier 9 6971132456921 697113245692 - 9 (1) = 697113245683 69711324568 - 9 (3) = 69711324541 6971132454 - 9 (1) = 6971132455 697113244 - 9 (5) = 697113199 69711319 - 9 (9) = 69711238 6971123 - 9 (8) = 6971051 697105 - 9 (1) = 697096 69709 - 9 (6) = 69655 6965 - 9 (5) = 6920 692 - 9 (0) = 692 69 - 9 (2) = 51
51 tidak habis dibagi 13 17 multiplier 5 6971132456921 697113245692 - 5 (1) = 697113245687 69711324568 - 5 (7) = 69711324533 6971132453 - 5 (3) = 6971132438 697113243 -5 (8) = 697113203 69711320 - 5 (3) = 69711305 6971130 - 5 (5) = 6971105 697110 - 5 (5) = 697085 69708 - 5 (5) = 69633 6963 - 5 (3) = 6948 694- 5 (8) = 654 65 - 5 (4) = 45 45 tidak habis dibagi 17 29 multiplier 26 6971132456921 697113245692 - 26 (1) = 697113245666 697113245 66 - 26 (6) = 69711324410 697113241 - 26 (0) = 697113241 69711324 - 26 (1) = 69711298 6971129 - 26 (8) = 6970918 697091 - 26 (8) = 696883 69688 - 26 (3) = 69610 6961 - 26 (0) = 6961 696 - 26 (1) = 670 670 tidak habis dibagi 29 c.
7 multiplier 2 5513242314437 551324231443 - 2 (7) = 551324231429 55132423142 - 2 (9) = 55132423124 5513242312 - 2 (4) = 5513242304 551324230 - 2 (4) = 551324222 55132422 - 2 (2) = 55132414 5513241 - 2 (4) = 5513233 551323 - 2 (3) = 551317 55131 - 2 (7) = 55117 5511 - 2 (7) = 5497 549 - 2 (7) = 535 53 -2 (7 ) = 39 39 tidak habis dibagi 7 11 multiplier 1
5513242314437 551324231443 - 7 = 551324231436 55132423143 - 6 = 55132423137 5513242313 - 7 = 5513242306 551324230 - 6 = 551324224 55132422 - 4 = 55132418 5513241 - 8 = 5513233 551323 - 3 = 551320 55132 - 0 = 55132 5513 - 2 = 5511 551 - 1 = 550 55 - 0 = 55 55 habis dibagi 11 13 multiplier 9 5513242314437 551324231443 - 9 (7) = 551324231380 55132423138 - 9 (0) = 5513242318 551324231 - 9 (8) = 551324159 55132415 - 9 (9) = 55132334 5513233 - 9 (4) = 5513206 551320 - 9 (6) = 551266 55126 - 9 (6) = 5572 557 - 9 (2) = 539 539 tidak habis dibagi 13 17 multiplier 5 5513242314437 551324231443 - 5 ( 7) = 551324231408 55132423140 - 5 (8) = 55132423100 5513242310 - 5(0) = 5513242310 551324231 - 5 (0) = 551324231 55132423 - 5(1) = 55132418 5513241 - 5 (8) = 5513201 551320 - 5 (1) = 551315 55131 - 5(5) = 5516 551 - 5(6) = 521 52 - 5 (1) = 47 47 tidak habis dibagi 17 29 multiplier 26 5513242314437 551324231443 - 26 (7) = 551324231261 55132423126 - 26 (1) = 55132423100 5513242310 - 26 (0)= 5513242310 551324231 - 26(0)= 551324231
55132423 - 26 (1)= 55132397 5513239 - 26 (7) = 5513057 551305 - 26 ((7) = 551123 55112 - 26 (3) = 55034 5503 - 26 (4) = 5399 539 - 26 (9) = 305 305 tidak habis dibagi 29 d.
7 multiplier 2 7132611455213 713261145521 - 2 (3) = 713261145515 71326114551 - 2 (5) = 71326114541 7132611454 - 2 (1) = 7132611452 713261145 - 2 (2) = 713261141 71326114 - 2 (1) = 71326112 7132611 - 2 (2) = 713267 71326 -2 (7) = 71312 7131 -2 (2) = 7127 712 -2 (7) = 698 69 - 2 (8) = 53 53 tidak habis dibagi 7 11 multiplier 1 71326114552 - 1 = 71326114551 7132611455 - 1 = 7132611454 713261145 - 4 = 713261141 71326114 - 1 = 71326113 7132611 - 3 = 713268 71326 - 8 = 71318 7131 - 8 = 7123 712 - 3 = 709 70 - 9 = 61 61 tidak habis dibagi 11 13 multiplier 9 713261145521 - 9 (3) = 713261145494 7132614549 - 9 (4) = 71326114513 7132611451 - 9 (3) = 7132611424 713261142 - 9 (4) = 71326116 7132611 - 9 (6) = 7132557 713255 - 9 (7) = 713192 71319 - 9 (2) = 71301 7130 - 9 (1) = 7121 712 - 9 (1) = 703 70 - 9 (3) =43 43 tidak habis dibagi 13
17 multiplier 5 713261145521 - 5 (3) = 7113261145506 71326114550 - 5 (6) = 71326114520 7132611452 - 5 (0) = 7132611452 713261145 - 5 (2) = 713261135 71326113 - 5 (5) = 71326088 7132608 - 5 (8) = 7132568 713256 - 5 (8) = 713216 71321 - 5 (6) = 71291 7129 - 5 (1) = 7124 712 - 5 (4) = 692 69 - 5 (2) = 59 59 tidak habis dibagi 17 29 multiplier 26 7132611455213 71261145521 - 26 (3) = 713261145443 71326114544 - 26 (3) = 71326114466 7132611446 - 26 (6) = 7132611290 713261129 - 26 (0) = 713261129 71326112 - 26 (9) = 71325878 7132587 - 26 (8) = 7132379 713237 - 26 (9) = 713003 71300 - 26 (3) = 71222 7122 - 26 (2) = 7070 707 - 26 (0) = 707 707 tidak habis dibagi 29 e.
7 multiplier 2 9782136613225 978213661322 - 2 (5) = 978213661312 97821366131 - 2 (2) = 97821366127 9782136612 - 2 (7) = 9782136598 978213659 - 2 (8) = 978213643 97821364 - 2 (3) = 97821358 9782135 - 2 (8) = 9782119 978211 - 2 (9) = 978193 97819 - 2 (3) = 97813 9781 - 2 (3) = 9795 979 - 2 (5) = 969 96 - 2 (9) = 76 76 tidak habis dibagi 7 11 multiplier 1 9782136613225
978213661322 -5 = 97821366117 9782136611 -7 = 978213504 97821350 - 4 = 97821346 9782134 - 6 = 9782128 978212 - 8 = 978204 97820 - 4 = 97816 9781 - 6 = 9775 977 - 5 = 972 97 -2 = 95 95 tidak habis dibagi 11 13 multiplier 9 9782136613225 978213661322 - 9 (5) = 978213661277 97821366127 - 9 (7) = 97821366064 9782136606 - 9 (4) = 9782136570 978213657 - 9 (0) = 978213657 97821365 - 9 (7) = 978213594 97821359 - 9 (4) = 97821323 9782132 - 9 (3) = 9782105 978210 - 9 (5) = 978155 97815 - 9 (5) = 97750 9775 - 9 (0) = 9775 977 - 9 (5) = 932 93 - 9 (2) = 75 75 tidak habis dibagi 13 17 multiplier 5 9782136613225 978213661322 - 5 (5) = 978213661297 98721366129 -5 (7) = 97821366094 9782136609 - 5 (4) = 9782136589 978213658 - 5 (9) = 978213613 9782161 - 5 (3) = 97821346 9782134 - 5 (6) = 9782104 978210 - 5 (4) = 978190 978195 - 5 (0) = 97819 97815 - 5 (9) = 9736 973 - 5 (6) = 943 94 - 5 (3) = 79 79 tidak habis dibagi 17 29 multiplier 26 9782136613225 978213661322 - 26 (5) = 978213661192
97821366119 - 26 (2) = 97821366067 9782136606 - 26 (7) = 9782136424 978213642 - 26 (4) = 978213538 97821353 - 26 (8) = 97821145 9782114 - 26 (5) = 9781984 978198 - 26 (4) = 978094 97809 - 26 (4) = 97705 9770 - 26 (5) = 9640 964 - 26 (0) = 964 964 tidak bisa habis dibagi 29
(08108244171)
2. Nita Wulan .A.
(07108248388)
3. Iqbal .Y.
(08108249129)
4. Eka Krisna .S.
(08108249141)
5. Laela .F.
(07108248263)
6. Afri Aini .M.
(08108249142)
7. Salisatun .N.
(08108249109)
8. Imam Abdul .R.
(08108249108)
9. Anggun Fajar .N.
(08108249143)
Soal nomor 7 : Dengan menggunakan pengali ( multiplier ) tunjukan apakah masing-masing bilangan berikut habis dibagi oleh 7, 11, 13, 17, dan 29 . a. 2134524559132 b. 6971132456921 c. 5513242314437 d. 7132611455213 e. 9782136613225 Jawab : a. 7 multiplier 2 2134524559132 213452455913 - 2 (2) = 21345245599 2134524559 - 2 (9) = 2134524541 213452454 - 2 (1) = 213452452 21345245 - 2 (2) = 21345241 2134524 - 2 (1) = 2134522 213452 - 2 (2) = 213448 21344 - 2 (8) = 21328 2132 - 2 (8) = 2116 211 - 2 (6) = 199 199 tidak habis dibagi 7 11 multiplier 1 2134524559132 213452455913 - 2 = 213452455911 21345245591 - 1 = 21345245590
2134524559 - 1 = 2134524559 213452455 - 9 = 213452446 21345244 - 6 = 21345238 2134523 - 8 = 2134515 213451 - 5 = 213446 21344- 6 = 21338 2133 - 8 = 2125 212 - 5 = 207 207 tidak habis dibagi 11 13 multiplier 9 2134524559132 213452455913 - 9 (9) = 213452455886 21345245588 - 9 (6) = 21345245534 2134524553 - 9 (4) = 2134524517 213452451 - 9 (7) = 213452388 21345238 - 9 (8) = 21345166 2134516 - 9 (6) = 2134462 213446 - 9 (2) = 213428 21342 - 9 (8) = 21270 2127 - 9 (0) = 2127 212 - 9 (7) = 149 149 tidak habis dibagi 13 17 multiplier 5 2134524559132 213452455913 - 5 (2) = 21345245593 2134524559 - 5 (3) = 2134524544 213452454 - 5 (4) = 213452434 21345243 - 5 (4) = 21345223 213422 - 5 (3) = 213457 21345 - 5 (7) = 21310 2131 - 5 (0) = 2131 213 - 5 (1) = 208 208 tidak habis dibagi 17 29 multiplier 26 2134524559132 213452455913 - 26 (2) = 213452455861 21345245586 - 26 (1) = 21345245560 2134524556 - 26 (0) = 2134524556 213452455 - 26 (6) = 213452299 21345229 - 26 (9) = 21344995 2134499 - 26 (5) = 2134369 213436 - 26 (9) = 213202 21320 - 26 (2) = 21268
2126 - 26 (8) = 1918 1918 tidak habis dibagi 29 b.
7 multiplier 2 6971132456921 697113245692 - 2 (1) = 697113245690 69711324569 - 2 (0) = 69711324569 6971132456 - 2 (9) = 6971132 438 697113243 - 2 (8) = 697113227 69711322 - 2 (7) = 69711308 6971130 - 2 (8) = 6971114 697111 - 2 (4) = 697103 69710 - 2 (3) = 69704 6970 - 2 (4) = 6962 696 - 2 (2) = 692 69 - 2 (2) = 65 65 tidak habis dibagi 7 11 multiplier 1 6971132456921 697113245692 - 1 = 697113245691 69711324569 - 1 = 69711324568 6971132456 - 8 = 6971132448 697113244 - 8 = 697113236 69711323 - 6 = 69711317 6971131 - 7 = 6971124 697112 - 4 = 697108 69710 - 8 = 69702 6970 - 2 = 6968 696 - 8 = 688 68 - 8 = 60 60 tidak habis dibagi 11 13 multiplier 9 6971132456921 697113245692 - 9 (1) = 697113245683 69711324568 - 9 (3) = 69711324541 6971132454 - 9 (1) = 6971132455 697113244 - 9 (5) = 697113199 69711319 - 9 (9) = 69711238 6971123 - 9 (8) = 6971051 697105 - 9 (1) = 697096 69709 - 9 (6) = 69655 6965 - 9 (5) = 6920 692 - 9 (0) = 692 69 - 9 (2) = 51
51 tidak habis dibagi 13 17 multiplier 5 6971132456921 697113245692 - 5 (1) = 697113245687 69711324568 - 5 (7) = 69711324533 6971132453 - 5 (3) = 6971132438 697113243 -5 (8) = 697113203 69711320 - 5 (3) = 69711305 6971130 - 5 (5) = 6971105 697110 - 5 (5) = 697085 69708 - 5 (5) = 69633 6963 - 5 (3) = 6948 694- 5 (8) = 654 65 - 5 (4) = 45 45 tidak habis dibagi 17 29 multiplier 26 6971132456921 697113245692 - 26 (1) = 697113245666 697113245 66 - 26 (6) = 69711324410 697113241 - 26 (0) = 697113241 69711324 - 26 (1) = 69711298 6971129 - 26 (8) = 6970918 697091 - 26 (8) = 696883 69688 - 26 (3) = 69610 6961 - 26 (0) = 6961 696 - 26 (1) = 670 670 tidak habis dibagi 29 c.
7 multiplier 2 5513242314437 551324231443 - 2 (7) = 551324231429 55132423142 - 2 (9) = 55132423124 5513242312 - 2 (4) = 5513242304 551324230 - 2 (4) = 551324222 55132422 - 2 (2) = 55132414 5513241 - 2 (4) = 5513233 551323 - 2 (3) = 551317 55131 - 2 (7) = 55117 5511 - 2 (7) = 5497 549 - 2 (7) = 535 53 -2 (7 ) = 39 39 tidak habis dibagi 7 11 multiplier 1
5513242314437 551324231443 - 7 = 551324231436 55132423143 - 6 = 55132423137 5513242313 - 7 = 5513242306 551324230 - 6 = 551324224 55132422 - 4 = 55132418 5513241 - 8 = 5513233 551323 - 3 = 551320 55132 - 0 = 55132 5513 - 2 = 5511 551 - 1 = 550 55 - 0 = 55 55 habis dibagi 11 13 multiplier 9 5513242314437 551324231443 - 9 (7) = 551324231380 55132423138 - 9 (0) = 5513242318 551324231 - 9 (8) = 551324159 55132415 - 9 (9) = 55132334 5513233 - 9 (4) = 5513206 551320 - 9 (6) = 551266 55126 - 9 (6) = 5572 557 - 9 (2) = 539 539 tidak habis dibagi 13 17 multiplier 5 5513242314437 551324231443 - 5 ( 7) = 551324231408 55132423140 - 5 (8) = 55132423100 5513242310 - 5(0) = 5513242310 551324231 - 5 (0) = 551324231 55132423 - 5(1) = 55132418 5513241 - 5 (8) = 5513201 551320 - 5 (1) = 551315 55131 - 5(5) = 5516 551 - 5(6) = 521 52 - 5 (1) = 47 47 tidak habis dibagi 17 29 multiplier 26 5513242314437 551324231443 - 26 (7) = 551324231261 55132423126 - 26 (1) = 55132423100 5513242310 - 26 (0)= 5513242310 551324231 - 26(0)= 551324231
55132423 - 26 (1)= 55132397 5513239 - 26 (7) = 5513057 551305 - 26 ((7) = 551123 55112 - 26 (3) = 55034 5503 - 26 (4) = 5399 539 - 26 (9) = 305 305 tidak habis dibagi 29 d.
7 multiplier 2 7132611455213 713261145521 - 2 (3) = 713261145515 71326114551 - 2 (5) = 71326114541 7132611454 - 2 (1) = 7132611452 713261145 - 2 (2) = 713261141 71326114 - 2 (1) = 71326112 7132611 - 2 (2) = 713267 71326 -2 (7) = 71312 7131 -2 (2) = 7127 712 -2 (7) = 698 69 - 2 (8) = 53 53 tidak habis dibagi 7 11 multiplier 1 71326114552 - 1 = 71326114551 7132611455 - 1 = 7132611454 713261145 - 4 = 713261141 71326114 - 1 = 71326113 7132611 - 3 = 713268 71326 - 8 = 71318 7131 - 8 = 7123 712 - 3 = 709 70 - 9 = 61 61 tidak habis dibagi 11 13 multiplier 9 713261145521 - 9 (3) = 713261145494 7132614549 - 9 (4) = 71326114513 7132611451 - 9 (3) = 7132611424 713261142 - 9 (4) = 71326116 7132611 - 9 (6) = 7132557 713255 - 9 (7) = 713192 71319 - 9 (2) = 71301 7130 - 9 (1) = 7121 712 - 9 (1) = 703 70 - 9 (3) =43 43 tidak habis dibagi 13
17 multiplier 5 713261145521 - 5 (3) = 7113261145506 71326114550 - 5 (6) = 71326114520 7132611452 - 5 (0) = 7132611452 713261145 - 5 (2) = 713261135 71326113 - 5 (5) = 71326088 7132608 - 5 (8) = 7132568 713256 - 5 (8) = 713216 71321 - 5 (6) = 71291 7129 - 5 (1) = 7124 712 - 5 (4) = 692 69 - 5 (2) = 59 59 tidak habis dibagi 17 29 multiplier 26 7132611455213 71261145521 - 26 (3) = 713261145443 71326114544 - 26 (3) = 71326114466 7132611446 - 26 (6) = 7132611290 713261129 - 26 (0) = 713261129 71326112 - 26 (9) = 71325878 7132587 - 26 (8) = 7132379 713237 - 26 (9) = 713003 71300 - 26 (3) = 71222 7122 - 26 (2) = 7070 707 - 26 (0) = 707 707 tidak habis dibagi 29 e.
7 multiplier 2 9782136613225 978213661322 - 2 (5) = 978213661312 97821366131 - 2 (2) = 97821366127 9782136612 - 2 (7) = 9782136598 978213659 - 2 (8) = 978213643 97821364 - 2 (3) = 97821358 9782135 - 2 (8) = 9782119 978211 - 2 (9) = 978193 97819 - 2 (3) = 97813 9781 - 2 (3) = 9795 979 - 2 (5) = 969 96 - 2 (9) = 76 76 tidak habis dibagi 7 11 multiplier 1 9782136613225
978213661322 -5 = 97821366117 9782136611 -7 = 978213504 97821350 - 4 = 97821346 9782134 - 6 = 9782128 978212 - 8 = 978204 97820 - 4 = 97816 9781 - 6 = 9775 977 - 5 = 972 97 -2 = 95 95 tidak habis dibagi 11 13 multiplier 9 9782136613225 978213661322 - 9 (5) = 978213661277 97821366127 - 9 (7) = 97821366064 9782136606 - 9 (4) = 9782136570 978213657 - 9 (0) = 978213657 97821365 - 9 (7) = 978213594 97821359 - 9 (4) = 97821323 9782132 - 9 (3) = 9782105 978210 - 9 (5) = 978155 97815 - 9 (5) = 97750 9775 - 9 (0) = 9775 977 - 9 (5) = 932 93 - 9 (2) = 75 75 tidak habis dibagi 13 17 multiplier 5 9782136613225 978213661322 - 5 (5) = 978213661297 98721366129 -5 (7) = 97821366094 9782136609 - 5 (4) = 9782136589 978213658 - 5 (9) = 978213613 9782161 - 5 (3) = 97821346 9782134 - 5 (6) = 9782104 978210 - 5 (4) = 978190 978195 - 5 (0) = 97819 97815 - 5 (9) = 9736 973 - 5 (6) = 943 94 - 5 (3) = 79 79 tidak habis dibagi 17 29 multiplier 26 9782136613225 978213661322 - 26 (5) = 978213661192
97821366119 - 26 (2) = 97821366067 9782136606 - 26 (7) = 9782136424 978213642 - 26 (4) = 978213538 97821353 - 26 (8) = 97821145 9782114 - 26 (5) = 9781984 978198 - 26 (4) = 978094 97809 - 26 (4) = 97705 9770 - 26 (5) = 9640 964 - 26 (0) = 964 964 tidak bisa habis dibagi 29
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