Desimaalisarjan

Desimaalisarjan, also known as a decimal sequence or decimal expansion, refers to the representation of a number in the form of a sequence of digits after the decimal point. This concept is fundamental in mathematics and computer science, particularly in the fields of number theory and numerical analysis. Decimal sequences are used to approximate real numbers, which are often irrational and cannot be expressed exactly as finite decimals.

The process of converting a number into its decimal form involves repeatedly multiplying the fractional part by 10 and recording the integer part of the result. This process can continue indefinitely for irrational numbers, resulting in an infinite decimal sequence. For example, the decimal expansion of the square root of 2 (√2) begins with 1.414213... and continues without repeating.

Decimal sequences are also crucial in the representation of floating-point numbers in computing. In floating-point arithmetic, numbers are stored in a format that includes a significand (the decimal part), an exponent, and a sign. The significand is typically a binary number, but it can be converted to a decimal sequence for display purposes.

In summary, desimaalisarjan is a method of expressing numbers in decimal form, which is essential for both theoretical and practical applications in mathematics and computing. It provides a way to approximate and represent real numbers, enabling precise calculations and data storage.