Поверните устройство

Поверните устройство

Skip to main content

Теория: Сложение, вычитание, умножение и деление

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: \(\displaystyle 6050\).