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Консультация № 191487
16.10.2017, 13:54
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Здравствуйте! Прошу помощи в следующем вопросе:
Определить количество верных значащих цифр в числе x* и округлить его до верных цифр, если известна относительная погрешность x*:
x*=197,3587; Δx*=7 %
Определить количество верных значащих цифр в числе x* и округлить его до верных цифр, если известна относительная погрешность x*:
x*=197,3587; Δx*=7 %
Обсуждение
17.10.2017, 18:38
общий
это ответ
Здравствуйте, dimabylk!
По формуле в замечании [1, с. 28] абсолютная погрешность при
и 
составляет
Значит, в числе
верной является лишь цифра сотен. Поэтому 
Поскольку 
постольку, согласно [1, с. 25] можно записать с одной сомнительной цифрой: 
Литература
1. Демидович Б. П., Марон И. А. Основы вычислительной математики. - М.: Наука, 1966. - 664 с.
По формуле в замечании [1, с. 28] абсолютная погрешность при
и составляетЗначит, в числе
верной является лишь цифра сотен. Поэтому Поскольку постольку, согласно [1, с. 25] можно записать с одной сомнительной цифрой: Литература
1. Демидович Б. П., Марон И. А. Основы вычислительной математики. - М.: Наука, 1966. - 664 с.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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