A discussion about the nature of some recurring decimals 對某些循環(huán)小數(shù)的一個性質(zhì)的討論
To avoid daily rates with recurring decimals , and the associated rounding complications in calculating the interest , annual interest rates and any changes have therefore to be divisible by 360 為避免日利率附有循環(huán)小數(shù)及由四舍五入引起的復(fù)雜計算,年利率及其變化幅度必須可以被360整除。
Traditionally , interest for loans and deposits with terms that do not fall neatly into whole years or months is calculated on a daily rate derived from the annual or monthly rate . the balance of the deposit or loan is then multiplied by the daily rate to give the interest . if the daily rate were to contain any recurring decimals , it would have to be rounded up or down to eliminate them , and any discrepancy due to the rounding would be carried over into the multiplication 除了完整年數(shù)或月數(shù)期限的存款及貸款之外,傳統(tǒng)上計算利息的方法是先以年利率或月利率轉(zhuǎn)化為日利率,然后再用所得的日利率乘以有關(guān)馀額來計出利息,若果日利率有循環(huán)小數(shù)則需先四舍五入,而有關(guān)偏差也會一并乘入馀額數(shù)目。