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Консультация № 143663
11.09.2008, 18:26
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Здравствуйте уважаемые эксперты, не поможете? Найдите произведение всех целых чисел n, для которых значение выражения 3/n является целым числом ,и укажите остаток от деления полученного числа на 5.
Обсуждение
12.09.2008, 23:41
общий
это ответ
Здравствуйте, Боровков максим сергеевич!
Выражение 3/n является целочисленным для чисел -3, -1, 1, 3. Для числа 0 выражение 3/n не имеет смысла, а для чисел, модуль которых больше трех, выражение 3/n - дробная величина. Поэтому искомое произведение суть (-3)*(-1)*1*3 = 9, а остаток от деления этого произведения на пять равен четырем, так как 9 = 5*1 + 4.
С уважением.
Выражение 3/n является целочисленным для чисел -3, -1, 1, 3. Для числа 0 выражение 3/n не имеет смысла, а для чисел, модуль которых больше трех, выражение 3/n - дробная величина. Поэтому искомое произведение суть (-3)*(-1)*1*3 = 9, а остаток от деления этого произведения на пять равен четырем, так как 9 = 5*1 + 4.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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