Найдите произведение чисел:
| \(\displaystyle 4\) | \(\displaystyle 5\) | \(\displaystyle 9\) | \(\displaystyle 7\) | \(\displaystyle 4\) | ||||
| x | ||||||||
| \(\displaystyle 5\) | \(\displaystyle 4\) | \(\displaystyle 8\) | ||||||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle +\) | ||||||||
1. Первое действие.
Умножаем единицы числа \(\displaystyle 54{\underline 8}\) (это цифра \(\displaystyle 8\)) на число \(\displaystyle 45974{\small:}\)
\(\displaystyle 45974 \cdot 8=367792{\small.}\)
| \(\displaystyle 4\) | \(\displaystyle 5\) | \(\displaystyle 9\) | \(\displaystyle 7\) | \(\displaystyle 4\) | ||||
| x | ||||||||
| \(\displaystyle 5\) | \(\displaystyle 4\) | \(\displaystyle \bf8\) | ||||||
| \(\displaystyle \bf3\) | \(\displaystyle \bf6\) | \(\displaystyle \bf7\) | \(\displaystyle \bf7\) | \(\displaystyle \bf9\) | \(\displaystyle \bf2\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | |||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | |
2. Второе действие.
Умножаем десятки числа \(\displaystyle 5{\underline 4}8\) (это цифра \(\displaystyle 4\)) на число \(\displaystyle 45974{\small:}\)
\(\displaystyle 45974 \cdot 4=183896{\small.}\)
Записываем результат так, чтобы единицы числа \(\displaystyle 18389{\underline 6}\) шли под той цифрой, на которую мы умножали (в нашем случае это десятки числа \(\displaystyle 5{\underline 4}8{\small,}\) то есть цифра \(\displaystyle 4\)).
| \(\displaystyle 4\) | \(\displaystyle 5\) | \(\displaystyle 9\) | \(\displaystyle 7\) | \(\displaystyle 4\) | ||||
| x | ||||||||
| \(\displaystyle 5\) | \(\displaystyle \bf4\) | \(\displaystyle 8\) | ||||||
| \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 7\) | \(\displaystyle 7\) | \(\displaystyle 9\) | \(\displaystyle 2\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle \bf1\) | \(\displaystyle \bf8\) | \(\displaystyle \bf3\) | \(\displaystyle \bf8\) | \(\displaystyle \bf9\) | \(\displaystyle \bf6\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | |||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | |
3. Третье действие.
Умножаем сотни числа \(\displaystyle {\underline 5}48\) (это цифра \(\displaystyle 5\)) на число \(\displaystyle 45974{\small:}\)
\(\displaystyle 45974 \cdot 5=229870{\small.}\)
Записываем результат так, чтобы единицы \(\displaystyle 22987{\underline 0}\) шли под той цифрой, на которую мы умножали (в нашем случае это сотни числа \(\displaystyle {\underline 5}48{\small,}\) то есть цифра \(\displaystyle 5\)).
| \(\displaystyle 4\) | \(\displaystyle 5\) | \(\displaystyle 9\) | \(\displaystyle 7\) | \(\displaystyle 4\) | ||||
| x | ||||||||
| \(\displaystyle \bf5\) | \(\displaystyle 4\) | \(\displaystyle 8\) | ||||||
| \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 7\) | \(\displaystyle 7\) | \(\displaystyle 9\) | \(\displaystyle 2\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle 1\) | \(\displaystyle 8\) | \(\displaystyle 3\) | \(\displaystyle 8\) | \(\displaystyle 9\) | \(\displaystyle 6\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle \bf2\) | \(\displaystyle \bf2\) | \(\displaystyle \bf9\) | \(\displaystyle \bf8\) | \(\displaystyle \bf7\) | \(\displaystyle \bf0\) | |||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | |
4. Четвертое действие.
Складываем получившиеся числа:
| \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 7\) | \(\displaystyle 7\) | \(\displaystyle 9\) | \(\displaystyle 2\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle 1\) | \(\displaystyle 8\) | \(\displaystyle 3\) | \(\displaystyle 8\) | \(\displaystyle 9\) | \(\displaystyle 6\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle 2\) | \(\displaystyle 2\) | \(\displaystyle 9\) | \(\displaystyle 8\) | \(\displaystyle 7\) | \(\displaystyle 0\) | |||
| \(\displaystyle \bf2\) | \(\displaystyle \bf5\) | \(\displaystyle \bf1\) | \(\displaystyle \bf9\) | \(\displaystyle \bf3\) | \(\displaystyle \bf7\) | \(\displaystyle \bf5\) | \(\displaystyle \bf2\) | |
В итоге имеем:
| \(\displaystyle 4\) | \(\displaystyle 5\) | \(\displaystyle 9\) | \(\displaystyle 7\) | \(\displaystyle 4\) | ||||
| x | ||||||||
| \(\displaystyle 5\) | \(\displaystyle 4\) | \(\displaystyle 8\) | ||||||
| \(\displaystyle 3\) | \(\displaystyle 6\) | \(\displaystyle 7\) | \(\displaystyle 7\) | \(\displaystyle 9\) | \(\displaystyle 2\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle 1\) | \(\displaystyle 8\) | \(\displaystyle 3\) | \(\displaystyle 8\) | \(\displaystyle 9\) | \(\displaystyle 6\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle 2\) | \(\displaystyle 2\) | \(\displaystyle 9\) | \(\displaystyle 8\) | \(\displaystyle 7\) | \(\displaystyle 0\) | |||
| \(\displaystyle \bf2\) | \(\displaystyle \bf5\) | \(\displaystyle \bf1\) | \(\displaystyle \bf9\) | \(\displaystyle \bf3\) | \(\displaystyle \bf7\) | \(\displaystyle \bf5\) | \(\displaystyle \bf2\) | |
Ответ: \(\displaystyle 25193752{\small.}\)