Dezimalteil

Dezimalteil refers to the fractional part of a decimal number. In a decimal representation, a number is typically split into two parts: an integer part and a Dezimalteil, separated by a decimal point. For instance, in the number 12.345, the integer part is 12 and the Dezimalteil is 0.345. The Dezimalteil represents values less than one. Each digit in the Dezimalteil corresponds to a power of ten in the denominator. The first digit after the decimal point represents tenths, the second represents hundredths, the third represents thousandths, and so on. Mathematically, the Dezimalteil of a number x is often denoted as {x} or frac(x), and it can be calculated as x - floor(x), where floor(x) is the greatest integer less than or equal to x. The Dezimalteil is always a non-negative value less than 1. For example, the Dezimalteil of 3.14 is 0.14, and the Dezimalteil of -2.7 is 0.3 (since -2.7 - floor(-2.7) = -2.7 - (-3) = 0.3). Understanding the Dezimalteil is fundamental for performing arithmetic operations with decimals and for comprehending concepts like rounding and truncation.