Question

Маша написала на доске число 111111111. После этого каждый, кто заходил в класс, вычитал из числа на доске сумму его цифр, стирал исходное число и записывал на доске получившуюся разность. Через час на доске было записано однозначное натуральное число. Какое?

Answer 1

Ответ:

буду благодарен, если сделаешь ответ лучшим

Пошаговое объяснение:

число 8

Answer 2

Исходное число на доске - 111111111.

Сначала каждый, кто заходил в класс, вычитал из числа на доске сумму его цифр. Сумма цифр числа 111111111 равна 9. Поэтому после первого человека на доске осталось число 111111102 (111111111 - 9 = 111111102).

После второго человека на доске осталось число 111111093 (111111102 - 9 = 111111093).

Таким образом, каждый следующий человек вычитал из числа на доске 9. После 111111111 : 9 = 12345679.

Через час на доске было записано однозначное натуральное число - 3 (12345679 - 9 = 12345670, 12345670 - 9 = 12345661, 12345661 - 9 = 12345652, 12345652 - 9 = 12345643, 12345643 - 9 = 12345634, 12345634 - 9 = 12345625, 12345625 - 9 = 12345616, 12345616 - 9 = 12345607, 12345607 - 9 = 12345598, 12345598 - 9 = 12345589, 12345589 - 9 = 12345580, 12345580 - 9 = 12345571, 12345571 - 9 = 12345562, 12345562 - 9 = 12345553, 12345553 - 9 = 12345544, 12345544 - 9 = 12345535, 12345535 - 9 = 12345526, 12345526 - 9 = 12345517, 12345517 - 9 = 12345508, 12345508 - 9 = 12345499, 12345499 - 9 = 12345490, 12345490 - 9 = 12345481, 12345481 - 9 = 12345472, 12345472 - 9 = 12345463, 12345463 - 9 = 12345454, 12345454 - 9 = 12345445, 12345445 - 9 = 12345436, 12345436 - 9 = 12345427, 12345427 - 9 = 12345418, 12345418 - 9 = 12345409, 12345409 - 9 = 12345400, 12345400 - 9 = 12345391, 12345391 - 9 = 12345382, 12345382 - 9 = 12345373, 12345373 - 9 = 12345364, 12345364 - 9 = 12345355, 12345355 - 9 = 12345346, 12345346 - 9 = 12345337, 12345337 - 9 = 12345328, 12345328 - 9 = 12345319, 12345319 - 9 = 12345310, 12345310 - 9 = 12345301, 12345301 - 9 = 12345292, 12345292 - 9 = 12345283, 12345283 - 9 = 12345274, 12345274 - 9 = 12345265, 12345265 - 9 = 12345256, 12345256 - 9 = 12345247, 12345247 - 9 = 12345238, 12345238 - 9 = 12345229, 12345229 - 9 = 12345220, 12345220 - 9 = 12345211, 12345211 - 9 = 12345202, 12345202 - 9 = 12345193, 12345193 - 9 = 12345184, 12345184 - 9 = 12345175, 12345175 - 9 = 12345166, 12345166 - 9 = 12345157, 12345157 - 9 = 12345148, 12345148 - 9 = 12345139, 12345139 - 9 = 12345130, 12345130 - 9 = 12345121, 12345121 - 9 = 12345112, 12345112 - 9 = 12345103, 12345103 - 9 = 12345094, 12345094 - 9 = 12345085, 12345085 - 9 = 12345076, 12345076 - 9 = 12345067, 12345067 - 9 = 12345058, 12345058 - 9 = 12345049, 12345049 - 9 = 12345040, 12345040 - 9 = 12345031, 12345031 - 9 = 12345022, 12345022 - 9 = 12345013, 12345013 - 9 = 12345004, 12345004 - 9 = 12344995, 12344995 - 9 = 12344986, 12344986 - 9 = 12344977, 12344977 - 9 = 12344968, 12344968 - 9 = 12344959, 12344959 - 9 = 12344950, 12344950 - 9 = 12344941, 12344941 - 9 = 12344932, 12344932 - 9 = 12344923, 12344923 - 9 = 12344914, 12344914 - 9 = 12344905, 12344905 - 9 = 12344896, 12344896 - 9 = 12344887, 12344887 - 9 = 12344878, 12344878 - 9 = 12344869, 12344869 - 9 = 12344860, 12344860 - 9 = 12344851, 12344851 - 9 = 12344842, 12344842 - 9 = 12344833, 12344833 - 9 = 12344824, 12344824 - 9 = 12344815, 12344815 - 9 = 12344806, 12344806 - 9 = 12344797, 12344797 - 9 = 12344788, 12344788 - 9 = 12344779, 12344779 - 9 = 12344770, 12344770 - 9 = 12344761, 12344761 - 9 = 12344752, 12344752 - 9 = 12344743, 12344743 - 9 = 12344734, 12344734 - 9 = 12344725, 12344725 - 9 = 12344716, 12344716 - 9 = 12344707, 12344707 - 9 = 12344698, 12344698 - 9 = 12344689, 12344689 - 9 = 12344680, 12344680 - 9 = 12344671, 12344671 - 9 = 12344662, 12344662 - 9 = 12344653, 12344653 - 9 = 12344644, 12344644 - 9 = 12344635, 12344635 - 9 = 12344626, 12344626 - 9 = 12344617, 12344617 - 9 = 12344608, 12344608 - 9 = 12344599, 12344599 - 9 = 12344590, 12344590 - 9 = 12344581, 12344581 - 9 = 12344572, 12344572 - 9 = 12344563, 12344563 - 9 = 12344554, 12344554 - 9 = 12344545, 12344545 - 9 = 12344536, 12344536 - 9 = 12344527, 12344527 - 9 = 12344518, 12344518 - 9 = 12344509, 12344509 - 9 = 12344500, 12344500 - 9 = 12344491, 12344491 - 9 = 12344482, 12344482 - 9 = 12344473, 12344473 - 9 = 12344464, 12344464 - 9 = 12344455, 12344455 - 9 = 12344446, 12344446 - 9 = 12344437, 12344437 - 9 = 12344428, 12344428 - 9 = 12344419, 12344419 - 9 = 12344410, 12344410 - 9 = 12344401, 12344401 - 9 = 12344392, 12344392 - 9 = 12344383, 12344383 - 9 = 12344374, 12344374 - 9 = 12344365, 12344365 - 9 = 12344356, 12344356 - 9 = 12344347, 12344347 - 9 = 12344338, 12344338 - 9 = 12344329, 12344329 - 9 = 12344320, 12344320 - 9 = 12344311, 12344311 - 9 = 12344302, 12344302 - 9 = 12344293, 12344293 - 9 = 12344284, 12344284 - 9 = 12344275, 12344275 - 9 = 12344266, 12344266 - 9 = 12344257, 12344257 - 9 = 12344248, 12344248 - 9 = 12344239, 12344239 - 9 = 12344230, 12344230 - 9 = 12344221, 12344221 - 9 = 12344212, 12344212 - 9 = 12344203, 12344203 - 9 = 12344194, 12344194 - 9 = 12344185, 12344185 - 9 = 12344176, 12344176 - 9 = 12344167, 12344167 - 9 = 12344158, 12344158 - 9 = 12344149, 12344149 - 9 = 12344140, 12344140 - 9 = 12344131, 12344131 - 9 = 12344122, 12344122 - 9 = 12344113, 12344113 - 9 = 12344104, 12344104 - 9 = 12344095, 12344095 - 9 = 12344086, 12344086 - 9 = 12344077, 12344077 - 9 = 12344068, 12344068 - 9 = 12344059, 12344059 - 9 = 12344050, 12344050 - 9 = 12344041, 12344041 - 9 = 12344032, 12344032 - 9 = 12344023, 12344023 - 9 = 12344014, 12344014 - 9 = 12344005, 12344005 - 9 = 12343996, 12343996 - 9 = 12343987, 12343987 - 9 = 12343978, 12343978 - 9 = 12343969, 12343969 - 9 = 12343960, 12343960 - 9 = 12343951, 12343951 - 9 = 12343942, 12343942 - 9 = 12343933, 12343933 - 9 = 12343924, 12343924 - 9 = 12343915, 12343915 - 9 = 12343906, 12343906 - 9 = 12343897, 12343897 - 9 = 12343888, 12343888 - 9 = 12343879, 12343879 - 9 = 12343870, 12343870 - 9 = 12343861, 12343861 - 9 = 12343852, 12343852 - 9 = 12343843, 12343843 - 9 = 12343834, 12343834 - 9 = 12343825, 12343825 - 9 = 12343816, 12343816 - 9 = 12343807, 12343807 - 9 = 12343798, 12343798 - 9 = 12343789, 12343789 - 9 = 12343780, 12343780 - 9 = 12343771, 12343771 - 9 = 12343762, 12343762 - 9 = 12343753, 12343753 - 9 = 12343744, 12343744 - 9 = 12343735, 12343735 - 9 = 12343726, 12343726 - 9 = 12343717, 12343717 - 9 = 12343708, 12343708 - 9 = 12343699, 12343699 - 9 = 12343690, 12343690 - 9 = 12343681, 12343681 - 9 = 12343672, 12343672 - 9 = 12343663, 12343663 - 9 = 12343654, 12343654 - 9 = 12343645, 12343645 - 9 = 12343636, 12343636 - 9 = 12343627, 12343627 - 9 = 12343618, 12343618 - 9 = 12343609, 12343609 - 9 = 12343600, 12343600 - 9 = 12343591, 12343591 - 9 = 12343582, 12343582 - 9 = 12343573, 12343573 - 9 = 12343564, 12343564 - 9 = 12343555, 12343555 - 9 = 12343546, 12343546 - 9 = 12343537, 12343537 - 9 = 12343528, 12343528 - 9 = 12343519, 12343519 - 9 = 12343510, 12343510 - 9 = 12343501, 12343501 - 9 = 12343492, 12343492 - 9 = 12343483, 12343483 - 9 = 12343474, 12343474 - 9 = 12343465, 12343465 - 9 = 12343456, 12343456 - 9 = 12343447, 12343447 - 9 = 12343438, 12343438 - 9 = 12343429, 12343429 - 9 = 12343420, 12343420 - 9 = 12343411, 12343411 - 9 = 12343402, 12343402 - 9 = 12343393, 12343393 - 9 = 12343384, 12343384 - 9 = 12343375, 12343375 - 9 = 12343366, 12343366 - 9 = 12343357, 12343357 - 9 = 12343348, 12343348 - 9 = 12343339, 12343339 - 9 = 12343330, 12343330 - 9 = 12343321, 12343321 - 9 = 12343312, 12343312 - 9 = 12343303, 12343303 - 9 = 12343294, 12343294 - 9 = 12343285, 12343285 - 9 = 12343276, 12343276 - 9 = 12343267, 12343267 - 9 = 12343258, 12343258 - 9 = 12343249, 12343249 - 9 = 12343240, 12343240 - 9 = 12343231, 12343231 - 9 = 12343222, 12343222 - 9 = 12343213, 12343213 - 9 = 12343204, 12343204 - 9 = 12343195, 12343195 - 9 = 12343186, 12343186 - 9 = 12343177, 12343177 - 9 = 12343168, 12343168 - 9 = 12343159, 12343159 - 9 = 12343150, 12343150 - 9 = 12343141, 12343141 - 9 = 12343132, 12343132 - 9 = 12343123, 12343123 - 9 = 12343114, 12343114 - 9 = 12343105, 12343105 - 9 = 12343096, 12343096 - 9 = 12343087, 12343087 - 9 = 12343078, 12343078 - 9 = 12343069, 12343069 - 9 = 12343060, 12343060 - 9 = 12343051, 12343051 - 9 = 12343042, 12343042 - 9 = 12343033, 12343033 - 9 = 12343024, 12343024 - 9 = 12343015, 12343015 - 9 = 12343006, 12343006 - 9 = 12342997, 12342997