Найдите произведение чисел:
| \(\displaystyle 5\) | \(\displaystyle 8\) | \(\displaystyle 6\) | \(\displaystyle 7\) | \(\displaystyle 4\) | ||||
| x | ||||||||
| \(\displaystyle 6\) | \(\displaystyle 4\) | \(\displaystyle 7\) | ||||||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle +\) | ||||||||
1. Первое действие.
Умножаем единицы числа \(\displaystyle 64{\underline 7}\) (это цифра \(\displaystyle 7\)) на число \(\displaystyle 58674{\small:}\)
\(\displaystyle 58674 \cdot 7=410718{\small.}\)
| \(\displaystyle 5\) | \(\displaystyle 8\) | \(\displaystyle 6\) | \(\displaystyle 7\) | \(\displaystyle 4\) | ||||
| x | ||||||||
| \(\displaystyle 6\) | \(\displaystyle 4\) | \(\displaystyle \bf7\) | ||||||
| \(\displaystyle \bf4\) | \(\displaystyle \bf1\) | \(\displaystyle \bf0\) | \(\displaystyle \bf7\) | \(\displaystyle \bf1\) | \(\displaystyle \bf8\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | |||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | |
2. Второе действие.
Умножаем десятки числа \(\displaystyle 6{\underline 4}7\) (это цифра \(\displaystyle 4\)) на число \(\displaystyle 58674{\small:}\)
\(\displaystyle 58674 \cdot 4=234696{\small.}\)
Записываем результат так, чтобы единицы числа \(\displaystyle 23469{\underline 6}\) шли под той цифрой, на которую мы умножали (в нашем случае это десятки числа \(\displaystyle 6{\underline 4}7{\small,}\) то есть цифра \(\displaystyle 4\)).
| \(\displaystyle 5\) | \(\displaystyle 8\) | \(\displaystyle 6\) | \(\displaystyle 7\) | \(\displaystyle 4\) | ||||
| x | ||||||||
| \(\displaystyle 6\) | \(\displaystyle \bf4\) | \(\displaystyle 7\) | ||||||
| \(\displaystyle 4\) | \(\displaystyle 1\) | \(\displaystyle 0\) | \(\displaystyle 7\) | \(\displaystyle 1\) | \(\displaystyle 8\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle \bf2\) | \(\displaystyle \bf3\) | \(\displaystyle \bf4\) | \(\displaystyle \bf6\) | \(\displaystyle \bf9\) | \(\displaystyle \bf6\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | |||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | |
3. Третье действие.
Умножаем сотни числа \(\displaystyle {\underline 6}47\) (это цифра \(\displaystyle 6\)) на число \(\displaystyle 58674{\small:}\)
\(\displaystyle 58674 \cdot 6=352044{\small.}\)
Записываем результат так, чтобы единицы \(\displaystyle 35204{\bf 4}\) шли под той цифрой, на которую мы умножали (в нашем случае это сотни числа \(\displaystyle {\underline 6}47{\small,}\) то есть цифра \(\displaystyle 6\)).
| \(\displaystyle 5\) | \(\displaystyle 8\) | \(\displaystyle 6\) | \(\displaystyle 7\) | \(\displaystyle 4\) | ||||
| x | ||||||||
| \(\displaystyle \bf6\) | \(\displaystyle 4\) | \(\displaystyle 7\) | ||||||
| \(\displaystyle 4\) | \(\displaystyle 1\) | \(\displaystyle 0\) | \(\displaystyle 7\) | \(\displaystyle 1\) | \(\displaystyle 8\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle 2\) | \(\displaystyle 3\) | \(\displaystyle 4\) | \(\displaystyle 6\) | \(\displaystyle 9\) | \(\displaystyle 6\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle \bf3\) | \(\displaystyle \bf5\) | \(\displaystyle \bf2\) | \(\displaystyle \bf0\) | \(\displaystyle \bf4\) | \(\displaystyle \bf4\) | |||
| \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | \(\displaystyle {\small?}\) | |
4. Четвертое действие.
Складываем получившиеся числа:
| \(\displaystyle 4\) | \(\displaystyle 1\) | \(\displaystyle 0\) | \(\displaystyle 7\) | \(\displaystyle 1\) | \(\displaystyle 8\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle 2\) | \(\displaystyle 3\) | \(\displaystyle 4\) | \(\displaystyle 6\) | \(\displaystyle 9\) | \(\displaystyle 6\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle 3\) | \(\displaystyle 5\) | \(\displaystyle 2\) | \(\displaystyle 0\) | \(\displaystyle 4\) | \(\displaystyle 4\) | |||
| \(\displaystyle \bf3\) | \(\displaystyle \bf7\) | \(\displaystyle \bf9\) | \(\displaystyle \bf6\) | \(\displaystyle \bf2\) | \(\displaystyle \bf0\) | \(\displaystyle \bf7\) | \(\displaystyle \bf8\) | |
В итоге имеем:
| \(\displaystyle 5\) | \(\displaystyle 8\) | \(\displaystyle 6\) | \(\displaystyle 7\) | \(\displaystyle 4\) | ||||
| x | ||||||||
| \(\displaystyle 6\) | \(\displaystyle 4\) | \(\displaystyle 7\) | ||||||
| \(\displaystyle 4\) | \(\displaystyle 1\) | \(\displaystyle 0\) | \(\displaystyle 7\) | \(\displaystyle 1\) | \(\displaystyle 8\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle 2\) | \(\displaystyle 3\) | \(\displaystyle 4\) | \(\displaystyle 6\) | \(\displaystyle 9\) | \(\displaystyle 6\) | |||
| \(\displaystyle +\) | ||||||||
| \(\displaystyle 3\) | \(\displaystyle 5\) | \(\displaystyle 2\) | \(\displaystyle 0\) | \(\displaystyle 4\) | \(\displaystyle 4\) | |||
| \(\displaystyle \bf3\) | \(\displaystyle \bf7\) | \(\displaystyle \bf9\) | \(\displaystyle \bf6\) | \(\displaystyle \bf2\) | \(\displaystyle \bf0\) | \(\displaystyle \bf7\) | \(\displaystyle \bf8\) | |
Ответ: \(\displaystyle 37962078{\small.}\)