Задание
Найдите пропущенные числа:
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 0\) | \(\displaystyle 4\) | \(\displaystyle 4\) | \(\displaystyle 5\) | \(\displaystyle 9\) | \(\displaystyle 6\) | |
| \(\displaystyle –\) | ||||||||
| \(\displaystyle 8\) | ||||||||
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 4\) | |||||
| \(\displaystyle –\) | ||||||||
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 4\) | |||||
| \(\displaystyle 0\) |
Решение
Найдем пропущенные числа при делении в столбик:
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 0\) | \(\displaystyle 4\) | \(\displaystyle 4\) | \(\displaystyle 5\) | \(\displaystyle 9\) | \(\displaystyle 6\) | |
| \(\displaystyle –\) | ||||||||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle 8\) | \(\displaystyle {\small?}\) | |||
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 4\) | |||||
| \(\displaystyle –\) | ||||||||
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 4\) | |||||
| \(\displaystyle 0\) |
1. Первая цифра в частном \(\displaystyle 8{\small,}\) поэтому под числом \(\displaystyle 5304\) записываем число \(\displaystyle 4768={\bf 8}\cdot 596{\small.}\)
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 0\) | \(\displaystyle 4\) | \(\displaystyle 4\) | \(\displaystyle 5\) | \(\displaystyle 9\) | \(\displaystyle 6\) | |
| \(\displaystyle –\) | ||||||||
| \(\displaystyle \bf 4\) | \(\displaystyle \bf 7\) | \(\displaystyle \bf 6\) | \(\displaystyle \bf 8\) | \(\displaystyle \bf 8\) | \(\displaystyle {\small?}\) | |||
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 4\) | |||||
| \(\displaystyle –\) | ||||||||
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 4\) | |||||
| \(\displaystyle 0\) |
2. Далее вычитаем из числа \(\displaystyle 5304\) число \(\displaystyle 4768\) (\(\displaystyle 5304-4768=536\)) и сносим цифру разряда единиц числа \(\displaystyle 5304{\bf4}\) (это цифра \(\displaystyle {\bf 4}\)). Получаем число \(\displaystyle 5364{\small.}\)
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 0\) | \(\displaystyle 4\) | \(\displaystyle \bf 4\) | \(\displaystyle 5\) | \(\displaystyle 9\) | \(\displaystyle 6\) | |
| \(\displaystyle –\) | ||||||||
| \(\displaystyle 4\) | \(\displaystyle 7\) | \(\displaystyle 6\) | \(\displaystyle 8\) | \(\displaystyle 8\) | \(\displaystyle {\small?}\) | |||
| \(\displaystyle \bf 5\) | \(\displaystyle \bf 3\) | \(\displaystyle \bf 6\) | \(\displaystyle \bf 4\) | |||||
| \(\displaystyle –\) | ||||||||
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 4\) | |||||
| \(\displaystyle 0\) |
3. Под числом \(\displaystyle 5364\) стоит число \(\displaystyle 5364{\small,}\) которое равно \(\displaystyle 5364=596\cdot {\bf 9} {\small,}\) значит, записываем \(\displaystyle 9\) во второй ячейке частного.
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 0\) | \(\displaystyle 4\) | \(\displaystyle 4\) | \(\displaystyle 5\) | \(\displaystyle 9\) | \(\displaystyle 6\) | |
| \(\displaystyle –\) | ||||||||
| \(\displaystyle 4\) | \(\displaystyle 7\) | \(\displaystyle 6\) | \(\displaystyle 8\) | \(\displaystyle 8\) | \(\displaystyle \bf 9\) | |||
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 4\) | |||||
| \(\displaystyle –\) | ||||||||
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 4\) | |||||
| \(\displaystyle 0\) |
Ответ:
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 0\) | \(\displaystyle 4\) | \(\displaystyle 4\) | \(\displaystyle 5\) | \(\displaystyle 9\) | \(\displaystyle 6\) | |
| \(\displaystyle –\) | ||||||||
| \(\displaystyle \bf 4\) | \(\displaystyle \bf 7\) | \(\displaystyle \bf 6\) | \(\displaystyle \bf 8\) | \(\displaystyle 8\) | \(\displaystyle \bf 9\) | |||
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 4\) | |||||
| \(\displaystyle –\) | ||||||||
| \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 4\) | |||||
| \(\displaystyle 0\) |