Задание
Вычислить:
\(\displaystyle 84 \times (23 \times 624 - 14051) - 322=\)
Решение
Расставим порядок действий в числовом выражении:
| 3 | 1 | 2 | 4 | |||||
| \(\displaystyle 84\) | \(\displaystyle \times\) | \(\displaystyle (23\) | \(\displaystyle \times\) | \(\displaystyle 624\) | \(\displaystyle -\) | \(\displaystyle 14051)\) | \(\displaystyle -\) | \(\displaystyle 322\). |
1. Первое действие:
\(\displaystyle 23 \times 624=14352\).
| \(\displaystyle 6\) | \(\displaystyle 2\) | \(\displaystyle 4\) | |||
| \(\displaystyle \times\) | |||||
| \(\displaystyle 2\) | \(\displaystyle 3\) | ||||
| \(\displaystyle 1\) | \(\displaystyle 8\) | \(\displaystyle 7\) | \(\displaystyle 2\) | ||
| \(\displaystyle +\) | |||||
| \(\displaystyle 1\) | \(\displaystyle 2\) | \(\displaystyle 4\) | \(\displaystyle 8\) | ||
| \(\displaystyle 1\) | \(\displaystyle 4\) | \(\displaystyle 3\) | \(\displaystyle 5\) | \(\displaystyle 2\) | |
2. Второе действие:
\(\displaystyle 14352-14051=301\).
| \(\displaystyle 1\) | \(\displaystyle 4\) | \(\displaystyle 3\) | \(\displaystyle 5\) | \(\displaystyle 2\) | |
| \(\displaystyle -\) | |||||
| \(\displaystyle 1\) | \(\displaystyle 4\) | \(\displaystyle 0\) | \(\displaystyle 5\) | \(\displaystyle 1\) | |
| \(\displaystyle 3\) | \(\displaystyle 0\) | \(\displaystyle 1\) | |||
3. Третье действие:
\(\displaystyle 84 \times 301=17632\).
| \(\displaystyle 3\) | \(\displaystyle 0\) | \(\displaystyle 1\) | |||
| \(\displaystyle \times\) | |||||
| \(\displaystyle 8\) | \(\displaystyle 4\) | ||||
| \(\displaystyle 1\) | \(\displaystyle 2\) | \(\displaystyle 0\) | \(\displaystyle 4\) | ||
| \(\displaystyle +\) | |||||
| \(\displaystyle 2\) | \(\displaystyle 4\) | \(\displaystyle 0\) | \(\displaystyle 8\) | ||
| \(\displaystyle 2\) | \(\displaystyle 5\) | \(\displaystyle 2\) | \(\displaystyle 8\) | \(\displaystyle 4\) | |
4. Четвертое действие:
\(\displaystyle 25284-322=24962\).
| \(\displaystyle 2\) | \(\displaystyle 5\) | \(\displaystyle 2\) | \(\displaystyle 8\) | \(\displaystyle 4\) | |
| \(\displaystyle -\) | |||||
| \(\displaystyle 3\) | \(\displaystyle 2\) | \(\displaystyle 2\) | |||
| \(\displaystyle 2\) | \(\displaystyle 4\) | \(\displaystyle 9\) | \(\displaystyle 6\) | \(\displaystyle 2\) | |
Ответ: \(\displaystyle 24962\).