Desimaalisiaesitettyjä

Desimaalisiaesitettyjä, which translates to "decimal representations" in English, refers to the way numbers are written using a decimal point. This system is a standard method of representing real numbers. The digits to the left of the decimal point represent whole numbers, while the digits to the right represent fractional parts of a whole. Each position to the right of the decimal point signifies a power of ten in the denominator, such as tenths (1/10), hundredths (1/100), thousandths (1/1000), and so on.

For example, the number 123.456 is read as one hundred twenty-three and four hundred fifty-six thousandths. The digit '4' is in the tenths place, '5' is in the hundredths place, and '6' is in the thousandths place. This system allows for the precise representation of any real number, whether it terminates or repeats.

Terminating decimal representations occur when the division results in a remainder of zero. For instance, 1/4 is represented as 0.25. Repeating decimal representations occur when a remainder repeats during division, leading to a pattern of digits that repeats infinitely. For example, 1/3 is represented as 0.333..., where the '3' repeats. This concept is fundamental in mathematics and is used across various fields like science, engineering, and finance.