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a) Viết 15 số lẻ đầu tiên liên tiếp ta được số tự nhiên :
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29
Để sau khi xóa 10 chữ số
Ta nhận được số lớn nhất thì chữ số lớn nhất thì chữ số giữ lại đầu tiên kể từ bên trái phải là chữ số 9.
Vậy trước hết ta xóa 4 chữ số đầu tiên của số trên là 1 ; 3 ; 5 và 7 như sau :
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29. Số còn lại là :
=> 9 11 13 15 17 19 21 23 25 27 29
a)viết 15 số lẻ đàu tiên liên tiếp ta được sồ tự nhiên:1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 Để sau khi sóa 10 chữ số
ta nhận được sồ lớn nhất thì chữ số lớn nhất thì chữ số giữ lại đầu tiên kể từ bên trái phải là chữ số 9.
Vậy chước hết ta xóa 4 chữ số đầu tiên của số trên là 1 : 3 : 5 và 7 như sau:
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29.Số còn lại là : => 9 11 13 15 17 19 21 23 25 27 29
1000000000000000000000000000000000000000000000000000000000000000000000000000
Viết 15 số lẻ đầu tiên liên tiếp ta được số tự nhiên:
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29
Để sau khi xoá 15 chữ số ta nhận được số lớn nhất thì chữ số giữ lại đầu tiên kể từ bên trái phải là chữ số 9. Vậy trước hết ta xoá 4 chữ số đầu tiên của dãy 1, 3, 5, 7. Số còn lại là:
9 11 13 15 17 19 21 23 25 27 29
Ta phải xoá tiếp 15 – 4 = 11 chữ số còn lại để được số lớn nhất. Để sau khi xoá nhận được số lớn nhất thì chữ số thứ hai kể từ bên trái phải là chữ số 9. Vậy tiếp theo ta phải xoá tiếp những chữ số viết giữa hai chữ số 9 trong dãy, đó là 11 13 15 17 1. Số còn lại là:
992 123 252 729.
Ta phải xoá tiếp 11 – 9 = 2 chữ số từ số còn lại để được số lớn nhất. Chữ số thứ ba còn lại kể từ bên trái phải là 2, vậy để được số lớn nhất sau khi xoá 2 chữ số ta phải xoá số 12 hoặc 21. Vậy số lớn nhất phải là
9 923 252 729.
b, Lập luận tương tự câu a. số phải tìm là 1 111 111 122
Viết 15 số lẻ đầu tiên liên tiếp ta được số tự nhiên:
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29
Để sau khi xoá 15 chữ số ta nhận được số lớn nhất thì chữ số giữ lại đầu tiên kể từ bên trái phải là chữ số 9. Vậy trước hết ta xoá 4 chữ số đầu tiên của dãy 1, 3, 5, 7. Số còn lại là:
9 11 13 15 17 19 21 23 25 27 29
Ta phải xoá tiếp 15 – 4 = 11 chữ số còn lại để được số lớn nhất. Để sau khi xoá nhận được số lớn nhất thì chữ số thứ hai kể từ bên trái phải là chữ số 9. Vậy tiếp theo ta phải xoá tiếp những chữ số viết giữa hai chữ số 9 trong dãy, đó là 11 13 15 17 1. Số còn lại là:
992 123 252 729.
Ta phải xoá tiếp 11 – 9 = 2 chữ số từ số còn lại để được số lớn nhất. Chữ số thứ ba còn lại kể từ bên trái phải là 2, vậy để được số lớn nhất sau khi xoá 2 chữ số ta phải xoá số 12 hoặc 21. Vậy số lớn nhất phải là
9 923 252 729.
b, Lập luận tương tự câu a. số phải tìm là 1 111 111 122
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<script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"QAPage","name":"Viết liên tiếp 10 số lẻ đầu tiên ta được 1 số tự nhiên, sau đó lại xóa đi 10 chữ số bất kì của số vừa nhận được mà kh...","description":"Viết liên tiếp 10 số lẻ đầu tiên ta được 1 số tự nhiên, sau đó lại xóa đi 10 chữ số bất kì của số vừa nhận được mà kh...","image":"https:\/\/rs.olm.vn\/images\/post\/img1204.jpg","mainEntity":{"@type":"Question","name":"Câu hỏi của Như","text":"Viết liên tiếp 10 số lẻ đầu tiên ta được 1 số tự nhiên, sau đó lại xóa đi 10 chữ số bất kì của số vừa nhận được mà không thay đổi thứ tự các chữ số thì ta được số lớn nhất là bao nhiêu ","answerCount":2,"author":{"@type":"Person","name":"Như"},"acceptedAnswer":{"@type":"Answer","text":"Đáp án: 9571995719\n\nGiải thích các bước giải:\n\nMười số lẻ đầu tiên liên tiếp là: 1;3;5;7;9;11;13;15;17;191;3;5;7;9;11;13;15;17;19\n\nSố tự nhiên khi viết từ 1010 số lẻ đầu tiên là: 135791113151719135791113151719\n\nKhi ta xóa đi 1010 chữ số bất kì không thay đổi thứ tự để được số lớn nhất: 135791113151719\n\nPhần gạch chân là những số bị xóa đi.\n\nVậy ta được số mới là số lớn nhất là: 95719Câu trả lời: Đáp án: 9571995719\n\nGiải thích các bước giải:\n\nMười số lẻ đầu tiên liên tiếp là: 1;3;5;7;9;11;13;15;17;191;3;5;7;9;11;13;15;17;19\n\nSố tự nhiên khi viết từ 1010 số lẻ đầu tiên là: 135791113151719135791113151719\n\nKhi ta xóa đi 1010 chữ số bất kì không thay đổi thứ tự để được số lớn nhất: 135791113151719\n\nPhần gạch chân là những số bị xóa đi.\n\nVậy ta được số mới là số lớn nhất là: 95719","author":{"@type":"Person","name":"Nguyễn Hải Minh"},"dateCreated":"2023-07-11 21:16:25","upvoteCount":0,"url":"https:\/\/olm.vn\/cau-hoi\/viet-lien-tiep-10-so-le-dau-tien-ta-duoc-1-so-tu-nhien-sau-do-lai-xoa-di-10-chu-so-bat-ki-cua-so-vua-nhan-duoc-ma-khong-thay-doi-thu-tu-cac-chu-so.5925098855203"},"suggestedAnswer":[{"@type":"Answer","text":"Đáp án: 9571995719\n\nGiải thích các bước giải:\n\nMười số lẻ đầu tiên liên tiếp là: 1;3;5;7;9;11;13;15;17;191;3;5;7;9;11;13;15;17;19\n\nSố tự nhiên khi viết từ 1010 số lẻ đầu tiên là: 135791113151719135791113151719\n\nKhi ta xóa đi 1010 chữ số bất kì không thay đổi thứ tự để được số lớn nhất: 135791113151719\n\nPhần gạch chân là những số bị xóa đi.\n\nVậy ta được số mới là số lớn nhất là: 95719Câu trả lời: Đáp án: 9571995719\n\nGiải thích các bước giải:\n\nMười số lẻ đầu tiên liên tiếp là: 1;3;5;7;9;11;13;15;17;191;3;5;7;9;11;13;15;17;19\n\nSố tự nhiên khi viết từ 1010 số lẻ đầu tiên là: 135791113151719135791113151719\n\nKhi ta xóa đi 1010 chữ số bất kì không thay đổi thứ tự để được số lớn nhất: 135791113151719\n\nPhần gạch chân là những số bị xóa đi.\n\nVậy ta được số mới là số lớn nhất là: 95719","author":{"@type":"Person","name":"Nguyễn Hải Minh"},"dateCreated":"2023-07-11 21:16:25","upvoteCount":0,"url":"https:\/\/olm.vn\/cau-hoi\/viet-lien-tiep-10-so-le-dau-tien-ta-duoc-1-so-tu-nhien-sau-do-lai-xoa-di-10-chu-so-bat-ki-cua-so-vua-nhan-duoc-ma-khong-thay-doi-thu-tu-cac-chu-so.5925098855203"},{"@type":"Answer","text":"Đáp án: 9571995719\n\nGiải thích các bước giải:\n\nMười số lẻ đầu tiên liên tiếp là: 1;3;5;7;9;11;13;15;17;191;3;5;7;9;11;13;15;17;19\n\nSố tự nhiên khi viết từ 1010 số lẻ đầu tiên là: 135791113151719135791113151719\n\nKhi ta xóa đi 1010 chữ số bất kì không thay đổi thứ tự để được số lớn nhất: 135791113151719\n\nPhần gạch chân là những số bị xóa đi.\n\nVậy ta được số mới là số lớn nhất là: 95719\n\n Câu trả lời: Đáp án: 9571995719\n\nGiải thích các bước giải:\n\nMười số lẻ đầu tiên liên tiếp là: 1;3;5;7;9;11;13;15;17;191;3;5;7;9;11;13;15;17;19\n\nSố tự nhiên khi viết từ 1010 số lẻ đầu tiên là: 135791113151719135791113151719\n\nKhi ta xóa đi 1010 chữ số bất kì không thay đổi thứ tự để được số lớn nhất: 135791113151719\n\nPhần gạch chân là những số bị xóa đi.\n\nVậy ta được số mới là số lớn nhất là: 95719\n\n ","author":{"@type":"Person","name":"Nguyễn Hải Minh"},"dateCreated":"2023-07-11 21:19:21","upvoteCount":0,"url":"https:\/\/olm.vn\/cau-hoi\/viet-lien-tiep-10-so-le-dau-tien-ta-duoc-1-so-tu-nhien-sau-do-lai-xoa-di-10-chu-so-bat-ki-cua-so-vua-nhan-duoc-ma-khong-thay-doi-thu-tu-cac-chu-so.5925098855203"}],"dateCreated":"2022-04-22 19:59:42"}}</script> | |
viết liên tiếp từ 1 đến 15 ta được số :
\(123456789101112131415\)
khi xóa đi 10 chữ số thì số lớn nhất thu được là
\(91112131415\)( xóa chữ số ở vị trí 1,2,3,4,5,6,7,8,10,11)
Số nhỏ nhất thu được là :
\(10111131415\)( xóa chữ số ở vị trí 2,3,4,5,6,7,8,9,10,15)
Đặt A=123456789101112131415
Số chữ số của A là 9+6*2=21(chữ số)
Do đó sau khi xóa 17 chữ số thì A còn 4 chữ số
Dễ dàng thấy 9345 là số lớn nhất
Đs..........
số đó là:12345