desimaaliesityksiä

Desimaaliesityksiä is a Finnish term that translates to "decimal representations" in English. It refers to the way numbers are expressed using a base-ten system, where a decimal point separates the whole number part from the fractional part. This system is the standard for representing numbers in most everyday contexts and scientific disciplines.

In a decimal representation, each digit's position to the left or right of the decimal point signifies a power of ten. For example, in the number 123.45, the digit 1 is in the hundreds place (10^2), 2 is in the tens place (10^1), 3 is in the ones place (10^0), 4 is in the tenths place (10^-1), and 5 is in the hundredths place (10^-2).

Decimal representations can be finite or infinite. Finite decimal representations, like 0.5 or 3.14, terminate after a certain number of digits. Infinite decimal representations, such as those for irrational numbers like pi (3.14159...) or the square root of 2 (1.41421...), continue without end. Infinite decimal representations can be either repeating or non-repeating. Repeating decimals, like 0.333... (representing 1/3), have a sequence of digits that repeats indefinitely. Non-repeating infinite decimals correspond to irrational numbers, where no such repeating pattern exists. The concept of desimaaliesityksiä is fundamental to understanding arithmetic, algebra, and calculus.