Задание
Вычислить:
\(\displaystyle 72 \times (131-60) +14 \times (70-3)=\)
Решение
Расставим порядок действий в числовом выражении:
| 3 | 1 | 5 | 4 | 2 | ||||||
| \(\displaystyle 72\) | \(\displaystyle \times\) | \(\displaystyle (131\) | \(\displaystyle -\) | \(\displaystyle 60)\) | \(\displaystyle +\) | \(\displaystyle 14\) | \(\displaystyle \times\) | \(\displaystyle (70\) | \(\displaystyle -\) | \(\displaystyle 3)\). |
1. Первое действие:
\(\displaystyle 131-60=71\).
| \(\displaystyle 1\) | \(\displaystyle 3\) | \(\displaystyle 1\) | |
| \(\displaystyle -\) | |||
| \(\displaystyle 6\) | \(\displaystyle 0\) | ||
| \(\displaystyle 7\) | \(\displaystyle 1\) | ||
2. Второе действие:
\(\displaystyle 70-3=67\).
3. Третье действие:
\(\displaystyle 72 \times 71=5112\).
| \(\displaystyle 7\) | \(\displaystyle 2\) | |||
| \(\displaystyle \times\) | ||||
| \(\displaystyle 7\) | \(\displaystyle 1\) | |||
| \(\displaystyle 7\) | \(\displaystyle 2\) | |||
| \(\displaystyle +\) | ||||
| \(\displaystyle 5\) | \(\displaystyle 0\) | \(\displaystyle 4\) | ||
| \(\displaystyle 5\) | \(\displaystyle 1\) | \(\displaystyle 1\) | \(\displaystyle 2\) | |
4. Четвертое действие:
\(\displaystyle 14 \times 67=938\).
| \(\displaystyle 1\) | \(\displaystyle 4\) | ||
| \(\displaystyle \times\) | |||
| \(\displaystyle 6\) | \(\displaystyle 7\) | ||
| \(\displaystyle 9\) | \(\displaystyle 8\) | ||
| \(\displaystyle +\) | |||
| \(\displaystyle 8\) | \(\displaystyle 4\) | ||
| \(\displaystyle 9\) | \(\displaystyle 3\) | \(\displaystyle 8\) | |
5. Пятое действие:
\(\displaystyle 5112+938=6050\).
| \(\displaystyle 5\) | \(\displaystyle 1\) | \(\displaystyle 1\) | \(\displaystyle 2\) | |
| \(\displaystyle +\) | ||||
| \(\displaystyle 9\) | \(\displaystyle 3\) | \(\displaystyle 8\) | ||
| \(\displaystyle 6\) | \(\displaystyle 0\) | \(\displaystyle 5\) | \(\displaystyle 0\) | |
Ответ: \(\displaystyle 6050\).