# Теория: Сложение, вычитание, умножение и деление

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: $$\displaystyle 24962$$.