5 de fevereiro de 2014

Apostila de DIVISÃO




DIVISÃO

1º PASSO


                       8:2                            42:6                     27:3           
                       8:4                            42:7                     27:9
                       9:3                            45:5                     28:4
                     10:2                            48:6                     28:7           
                     10:5                            48:8                     30:5
                     12:2                            49:7                     30:6
                     12:6                            54:6                     32:4
                     12:4                            54:9                     32:8
                     12:3                            56:7                     35:5
                     14:2                            63:7                     35:7
                     14:7                            63:9                     36:4
                     15:3                            64:8                     40:5
                     15:5                            72:9                     36:6
                     16:2                            72:8                    
                     16:4                            81:9                    
                     16:8                            36:9
                     18:2                            20:5
                     18:3                            21:3
                     18:6                            24:4
                     18:9                            24:6
                     20:4                            24:8
                     40:8                            25:5





                 2º PASSO – COM RESTO




9:2                       20:3
17:2                     14:4
17:3                     13:2
17:4                     19:7
17:5                     15:6
50:7                     33:7
65:8                     29:9
51:7                     18:5
38:4                     11:4
37:6                     41:8
49:8                     26:3
43:7                     27:5
46:9                     27:6
18:4                     14:4
29:3                     20:3
26:4                     30:4
42:5                     19:8
37:7                     58:9
22:3                     36:5
45:7                     50:6
32:6                     31:7
21:5                     33:4


I CASO – SEM LEVAR


                             24:2                    86:2
                             68:2                    46:2
                             40:2                    26:2
                             36:3                    62:2
                             96:3                    39:3
                             90:3                    48:2
                             48:4                    44:4
                             55:5                    84:4
                             80:4                    55:5
                             48:2                    66:3
                             88:2                    88:4
                             88:8                    66:6




II CASO – RESTO


                         3:2                          7:2                       4:3
                         5:2                          9:2                       5:3
                         7:3                          8:3                       9:4
                         8:5                          9:5                       7:5




                   III CASO


13:2                     14:3
11:2                     13:3
13:5                     16:3
21:5                     11:4
19:5                     13:4
17:4                     16:5
18:4                     23:3



IV CASO – “RESTO COMBINADO” COM OUTRO   ALGARISMO (ABAIXANDO 1 ALGARISMO)


32:2                     42:3                     72:4
54:2                     51:3                     96:4
72:2                     78:3                     95:5
98:2                     84:3                     85:5

34:2                     56:4                     75:5

CASO – ABAIXANDO 1 OU 2 CASAS “SEM LEVAR”


                          128:2                     164:2                   100:5
                          142:2                     213:3                   150:5
                          188:2                     124:4                   276:3
                          162:2                     168:4                   364:4
                          219:3                     249:3                   204:4
                          240:3                     273:3                   328:4
                          106:2                     126:3                   355:5
                          140:2                     186:3                   284:4
                          120:4                     200:5                   155:5
                          244:4                     160:4
                          368:4                     288:4
                          455:5                     255:5


VI CASO – ABAIXANDO 2 CASAS E RESTO            COMBINADO COM OUTRO ALGARISMO

                         132:2                      116:2                   110:2
                         172:2                      178:2                   174:2
                         150:2                      194:2                   195:3
                         158:2                      162:3                   111:3
                         196:2                      285:3                   165:3
                         222:3                      141:3                   204:3
                         132:3                      198:3                   267:3
                         174:3                      258:3                   231:3
                         237:3                      288:3                   232:4
                         225:3                      172:2                   292:4
                         188:4                      176:4                   120:4
                         220:4                      376:4                   240:4
348:4                   208:4                   284:4                   380:5
164:4                   192:2                   100:4                   100:5
154:2                   134:2                   375:5                   255:5
220:5                   328:4                   200:5                   400:5
425:5                   165:5                   355:5
155:5                   435:5                   360:4
300:5                   265:5                   225:5
455:5                   465:5                   160:5



VII CASO – UM ZERO NO QUOCIENTE SEM RESTO A COMBINAR

204:2                   620:2                   406:2
120:2                   180:2                   160:2
930:2                   808:4                   505:5
350:5                   306:3                   693:3
210:3                   270:3                   180:3
480:4                   408:4                   550:5
250:5                   450:5


VIII CASO – DIVISÃO COM ZERO NO FIM DO QUOCIENTE (4 ALGARISMOS)

1281:2                 3763:4                 2051:4
841:2                   1301:5                 2882:4
121:2                   1561:2                 1723:4                 3404:5
1891:3                 3331:3                 2552:5
2762:3                 1662:3                 3253:5

IX CASO – DIVISÃO COM ZERO NO MEIO DO QUOCIENTE (4 ALGARIMOS)


                                        1614:2               2403:3
                                        1812:2               2400:4
                                        1804:2               2814:4
                                        1006:2               3208:4
                                        1506:3               3628:4
                                        1813:3               2510:5
                                        2126:3               3035:5
                                        3540:5               2836:4


B – TABUADA DO: 6,7,8,9
I CASO – SEM RESERVA


                 186:6                     147:7                   357:7       189:9
                 240:6                     287:7                   568:8       639:9
                 126:6                     427:7                   549:9       480:8
                 246:6                     567:7                   810:9       168:8
                 366:6                     400:8                   369:9       408:8
                 486:6                     488:8                   637:7       728:8
                 306:6                     560:8                   240:8       729:9
                 426:6                     648:8                   328:8       279:9
                 480:6                     217:7                   248:8       459:9
                 546:6                     280:7                   630:9
 II CASO – DIVISÃO COM RESERVA DA 1ª PARA A 2ª DIVISÃO


132:6                   651:7                   648:9
159:6                   184:8                   531:9
204:4                   216:8                   288:9
216:6                   272:8                   162:9
258:6                   368:8                   774:9
336:6                   632:8                   801:9
144:6                   656:8
264:6                   256:8
330:6                   360:8
450:6                   496:8
504:6                   608:8
552:6                   736:8
224:7                   512:8
322:7                   117:9
259:7                   207:9
301:7                   306:9
385:7                   657:9
413:7                   414:9
558:7                   747:9
120:7                   846:9
154:7                   495:9
231:7                   774:9
504:7                   585:9
602:7                   558:9
III CASO – DIVISÃO COM RESERVA DA                             2ª PARA A 3ª DIVISÃO


                                  1272:6           4284:7
                                  3684:6           6398:7
                                  4290:6           4096:8
                                  4896:6           4896:8




IV CASO – DIVISÃO COM RESERVAS             CONSECUTIVAS


                                1314:6             3834:9
                                2742:6             4635:9
                                2345:7             3353:7
                                2076:6             3568:8
                                3726:6             2848:8
                                3248:7             8397:9
                                3504:6             1784:8
                                1575:7             4536:8
                                2088:9             6376:8
                                4634:7             2457:9
                                1715:7
                                2618:8
                                5856:8
                                1125:9

V CASO – DIVISÃO COM ZERO NO FIM DO QUOCIENTE


245:6                   2483:8
1863:6                 5845:8
1565:6                 2407:8
6347:7                 2705:8
5603:7                 3878:9
4415:7                 7567:9



VI CASO – COM ZEROS NO MEIO DO QUOCIENTE


5436:6                 2856:7                 8127:9
3642:6                 6424:8                 4554:9
4235:7                 7232:8                 6336:9


VI CASO – COM TODAS AS TABUADAS.  A) ABAIXANDO UMA CASA SÓ

6155:5                 6357:3                 9496:4        8436:6
8592:6                 4876:4                 7816:4        32.296:8
9037:7                 8984:8                 9635:5        7645:5
6552:3                 9235:5                 9772:4        4206:6
9768:8                 8284:4                 9894:3        3540:5
9114:6                 11.305:7              9798:6        23.842:6
8742:6                 11.745:9              9408:7

                     B) ABAIXANDO DUAS CASAS

                                 15792:3          10066:7               1281:7
                                 13112:4          3432:8                 2280:8
                                   3834:9          3135:5                 1782:6
                                   2352:6          1524:2                 2112:4
                                   1962:9          8865:9                 1962:2
                                   8865:3          1960:5                 2992:8
                                   4781:7          3564:6                 29533:7


C) TENDO UM ZERO NO QUOCIENTE

                                 12015:3          24108:4               35435:5
                                 30234:6          63259:7               72360:8
                                 29826:9          43102:2               21231:3
                                 10832:4          46030:5               47436:6
                                 67935:7          21656:8               33327:9
                                 43248:6          31549:7               40600:8              


                  D) TENDO DOIS ZEROS NO QUOCIENTE

                             10014:2              54045:6               18024:3
                             36032:4              40010:5               63049:7
                             64032:8              45063:9               14018:2
                             27024:3              28032:4               42042:7
                               4805:8              54072:9               63007:7
                               6048:6              9081:9                 35007:7
                             48024:8              24048:6


ATENÇÃO
a) Quando começamos a divisão com 2 números na chave, devemos dar na seqüência correta.
1º - Com zero no final(cortando)                                                                        
200:20                     3500:30

2º - Sem cortar o zero
82:20

3º - Números terminando em 1
Todos os :11
Todos os :21
Todos os :31 até 91

4º - Aí entramos com o 2
Todos os :12
Todos os :22
Todos os 32 até 92

5º - Dar continuidade com o 3, 4, 5, ... até 9
Devagar, para não atrapalhar os alunos principalmente quando : 91
e : 92

b) São as mais fáceis (terminando em 1, :31, etc.)
Começa a complicar( : 32, etc.)
Quando “vai 1”

2046:22
DIVISÃO POR DOIS ALGARISMOS

1º PASSO – TERMINADOS EM ZERO

                           820:20               840:40                  450:30
                           640:20               550:50                1440:40
                           360:30               560:20                1520:40
                           150:50             2160:60                  630:30
                         1150:50           1500:50                    40:10
                         2160:30             920:40                  600:10
                           450:10             2000:10                9600:10
                           800:100         8000:100              2000:100
                         5400:100       4500:100                7210:10
                         8000:1000   6000:1000          10.000:1000
                         3000:1000     4200:100          20.000:1000

2º PASSO – DIVIDENDO E DIVISOR
FORMADO POR DEZENAS EXATAS

                        800:20                450:30             9450:90
                        400:20                960:40             9380:70
                        720:20              2700:90            4380:60
                        600:20              2610:90            8680:80
                        540:20              7920:90            7940:70
                        900:30              4590:90            8720:80
                        390:90              6840:90              480:30
                        960:30                380:40            1140:60
                      1200:40            6350:50            2880:60
                      1140:40            5950:50            2170:70
                      4550:50            3570:70            3820:40
                      8650:50            4410:70            9450:50

8640:90            7250:50            9630:60
4950:50
3º PASSO
82:20                   1532:50                964:30
92:30                    238:40                 256:50
86:40                    362:50                 132:20
126:30                  213:30                 192:30
252:40                  282:40                 136:30
405:20                  336:50               1206:40

4º PASSO – TERMINANDO EM 1 (CHAVE)

84:21                   33:11              155:31
62:31                   96:31              124:31
93:31                   82:41              306:51
82:41                   84:41              366:61
62:31                   21:21              279:31
88:11                   63:21              497:71
99:11                   22:11              287:41
42:21                   44:11              105:21
124:31                246:41             648:81
134:31                255:51           1353:41
307:51                168:21           1071:51
571:61                408:51           1836:51
1134:81              217:31             775:31
392:41                355:71             434:31
4375:81              164:41           2745:61
1224:51              242:11             943:41
1952:61              147:21           1435:41
8277:31              943:41           1846:71
4182:51              189:21           2275:91
2184:91              663:51           4851:51
1365:21              248:31           7781:31
1491:21              178:21           9963:41
                       4154:31              205:41           3774:51
                       4375:81              186:31           5976:61
                         852:71                123:41           7644:91
                       3567:81               64:21            2646:21
                       1025:41              798:21           9882:81
                         837:31               166:41              483:21
                         852:71               274:61            1176:21
                         357:51               367:61            3567:81
                       3936:41            157:31              2774:5

5º PASSO – TERMINADOS EM 2 (CHAVE)

                             44:22             168:42               98:32
                             64:32             208:52             138:32
                             66:22             672:32             189:62
                             84:22             792:22             169:42
                             88:22             492:12             209:52
                           126:42             966:42           4944:12
                         2184:52           1476:12           3872:32
                         7488:32               85:42               97:32
                         9786:42

6º PASSO – TERMINADO EM 3 E 4 (CHAVE)

                             26:13              159:33             179:53
                             39:13                68:34               89:43
                             66:33                88:44               96:43
                             46:23                28:14               41:23
                             69:23                48:24               99:33
                           399:13                86:43             483:23
 7º PASSO – TERMINADOS EM 1 (EMPRESTAR)

  714:21                 46461:51                  24244:81
1012:11               59231:61                   4092:31
913:11                 51606:61                   2511:31
1023:31               43432:61                   4154:31
5022:81               29484:91                   3936:41
1001:91               1092:91                   15912:51
2912:91               22862:71                  7365:21
1207:71               8804:71                    4144:51
22081:71             2016:21                   11016:81
1312:41               19602:81


8º PASSO – TERMINADO EM 2 (EMPRESTAR)

1088:32                  5292:42                  3040:32
1848:22                  1508:62                  5922:42
1476:12                  1872:52                  4140:12
1650:22                  7384:52                  2484:92
72:12                      3068:52                12236:92
60:12                      9430:82                  7728:92
180:12                    2300:92                  1376:32
1078:22                  3772:82                  2750:22
1496:22                  3024:42                  1092:12
2068:22                    990:22                    110:22
4640:32                  4104:12                  6696:72
4288:32                  8610:42                  2046:22
3150:42                  4836:62                  2808:12
4368:52                  3240:72                  2992:22
4140:12                   210:42                     160:32
                         260:52                     480:32                     672:42
                         550:22                   6080:32                   3402:42
                       1716:52                 4472:52                   2666:62
                       5400:72                 6624:72                   1472:92
                       2648:12                1050:42                    7692:12
                       9824:32               56482:62                   1722:82
                       7696:82                3834:12

9º PASSO – TERMINANDO EM 3 (EMPRESTAR)

                       92:23                      132:33                  258:43       
                     215:43                      172:43                    52:13
                     318:53                      216:54                  598:23
                   2795:43                    4482:83                4599:63
                   3569:43                    4836:93                5733:63
                   3285:73                    1245:83                3096:43
                   2438:53                    4505:53                3024:63
                   2044:73                    5913:73                7636:83
                   1302:93                    6466:63                1551:33
                   1617:33                    1909:23                2805:33
                   2116:23                  10488:23                3266:23
                   1755:13                    1664:13                3042:13
                   1702:23                    2875:23                8118:33
                   7722:33                  40162:43                2322:43
                   4214:43                    4134:53                5035:53
                   5418:63                    6643:73                9636:73
                 17885:73                    7968:83              24552:93
                   9646:13                    5876:13                1012:23
                   1274:13                    2314:13                2808:13
                   2116:23                  10488:23                9010:53
                   3842:34                   3478:94                8084:93

10º PASSO – TERMINADO EM 5 (EMPRESTAR)

42:14                         4292:74                     6048:84
56:14                         2754:34                     2448:34
120:24                       3468:34                     2952:24
660:44                       5016:24                     5952:24
2728:44                     1288:14                     3808:34
3212:44                     4270:14                     7332:94
5056:64                     1778:14                     2992:44
76608:                       2727:44                     3212:44
7548:34                     2448:34                     2754:34
1330:14                     4872:24                     6936:34
1064:14                     8974:14                     7588:34
72:24                       18264:24                     3162:34
5440:84                      216:54                      1924:74

11º PASSO – TERMINADOS EM 5 (EMPRESTAR)

30:15                         6035:85                  5200:25
45:15                           350:25                  3655:85
100:25                       1785:35                      90:15
900:75                       1890:45                    450:25
3105:45                     1955:85                  3300:25
3520:55                     4015:55                  2660:95
9135:45                     5180:35                  5335:55
2075:25                     4015:55                  1710:45
7140:35                     2535:65                  6222:75
1105:65                     3430:35                  6120:15
63455:15                   3725:25                  1690:65
                           4680:45                  5685:15                      50:25
                             990:55                  2565:15                  8160:85
                               75:25                  6650:25                  3690:15
                           5320:93                  5115:55                  1455:15
                             459:15                 25585:35               25585:35
                         33770:55                 7700:25                  7790:95
                           6900:75

12º PASSO – TERMINADOS EM 6 (EMPRESTAR)

                              64:16                        1748:76                  2064:86
                            130:26                        1584:66                  4704:96
                            384:16                          598:26                  6138:66
                          6992:76                          736:16                  5136:16
                          7876:96                        1264:16                  2964:26
                          6450:86                        4104:76                    288:16
                          3698:86                        1008:56                  2494:86
                          1584:66                        6308:76                  7024:56
                          4144:56                        8464:46                  6138:66
                          1344:56                        3588:46                  5148:66
                          7128:66                        2272:16                14030:46
                          2652:26                        1224:36                  4876:46
                        51180:66                      17024:56                  4108:26
                          3492:36                        4608:36                  7982:26
                          7444:36                        6474:26                    547:96
                          4400:16                        5568:16                  3588:46
                          8144:16                        4816:56                  5568:16
                        16100:46                        6048:96
 13º PASSO – TERMINADO EM 7 (EMPRESTAR)

85:17                           255:17                  6936:17
2278:17                     8568:17                    135:27
5586:57                     2772:77                  3045:87
3591:57                     5928:57                  1802:17
7236:67                     3618:67                  2924:17
5044:97                     5238:97                  4466:77
9396:87                     3515:37                  3773:77
9722:27                      9021:97                 1876:67
10105:47                    5928:57                 4656:97
2516:37                      2772:77               14405:67
7733:37                       4183:47                4183:47
1285:17                     11544:37                7034:27
5525:17                       6966:27                3591:47
3492:97                       3723:17                4982:47
2646:27                       2262:27                4199:17
8267:27

15º PASSO – TERMINADO EM 9 (EMPRESTAR)

494:19                           8532:79
9009:99                         6555:69
9653:99                         3762:99
4266:79                         5544:99
9867:69                         9434:89
1287:99                         6794:79
4488:99                         4602:59
6586:89


Um comentário:

  1. Gostei muito das continhas,assim pude ensinar a minha neta.Obrigada

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VOTAÇÃO TOP 30/2014