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Теория: Умножение двузначных чисел

Задание

Перемножить числа:

  \(\displaystyle 2\)\(\displaystyle 5\)
 \(\displaystyle \times\)  
  \(\displaystyle 3\)\(\displaystyle 1\)
 
  
\(\displaystyle +\)   
  
 
 

 

Решение

1. Умножаем единицы числа \(\displaystyle 3\underline{1} \) (это цифра \(\displaystyle 1 \)) на число \(\displaystyle 25{\small:}\)

 

\(\displaystyle 1 \cdot 25=25 {\small.}\)

 

  \(\displaystyle \bf2\)\(\displaystyle \bf5\)
 \(\displaystyle \times\)  
  \(\displaystyle 3\)\(\displaystyle \bf1\)
 
  \(\displaystyle \bf2\)\(\displaystyle \bf5\)
\(\displaystyle +\)   
 \(\displaystyle ?\)\(\displaystyle ?\) 
 
 \(\displaystyle ?\)\(\displaystyle ?\)\(\displaystyle ?\)

 

2. Умножаем десятки числа \(\displaystyle \underline{3}1\) (это цифра \(\displaystyle 3 \)) на число \(\displaystyle 25{\small:}\)

 

\(\displaystyle 3 \cdot 25=75 {\small.}\)

 

  \(\displaystyle \bf2\)\(\displaystyle \bf5\)
 \(\displaystyle \times\)  
  \(\displaystyle \bf3\)\(\displaystyle 1\)
 
  \(\displaystyle 2\)\(\displaystyle 5\)
\(\displaystyle +\)   
 \(\displaystyle \bf7\)\(\displaystyle \bf5\) 
 
 \(\displaystyle ?\)\(\displaystyle ?\)\(\displaystyle ?\)

 

3. Складываем числа:

  \(\displaystyle 2\)\(\displaystyle 5\)
\(\displaystyle +\)   
 \(\displaystyle 7\)\(\displaystyle 5\) 
 
 \(\displaystyle \bf7\)\(\displaystyle \bf7\)\(\displaystyle \bf5\)

 

В итоге мы получаем:

  \(\displaystyle 2\)\(\displaystyle 5\)
 \(\displaystyle \times\)  
  \(\displaystyle 3\)\(\displaystyle 1\)
 
  \(\displaystyle 2\)\(\displaystyle 5\)
\(\displaystyle +\)   
 \(\displaystyle 7\)\(\displaystyle 5\) 
 
 \(\displaystyle 7\)\(\displaystyle 7\)\(\displaystyle 5\)

Ответ: \(\displaystyle 775{\small.} \)