Decimal fractions
A decimal fraction is a fraction The earliest fractions were reciprocals of integers, symbols representing one half, one third, one quarter, and so on. A much later development were the common or "vulgar" fractions which are still used today, and which consist of a numerator and a denominator, the numerator representing a number of equal parts and the denominator where the denominator The earliest fractions were reciprocals of integers, symbols representing one half, one third, one quarter, and so on. A much later development were the common or "vulgar" fractions which are still used today, and which consist of a numerator and a denominator, the numerator representing a number of equal parts and the denominator is a power Exponentiation is a mathematical operation, written an, involving two numbers, the base a and the exponent n. When n is a positive integer, exponentiation corresponds to repeated multiplication: of ten.
Decimal fractions are commonly expressed without a denominator, the decimal separator In a positional numeral system, the decimal separator is a symbol used to mark the boundary between the integral and the fractional parts of a decimal numeral. When used in context of Arabic numerals, terms implying the symbol used are decimal point and decimal comma being inserted into the numerator (with leading zeros added if needed), at the position from the right corresponding to the power of ten of the denominator. e.g., 8/10, 83/100, 83/1000, and 8/10000 are expressed as: 0.8, 0.83, 0.083, and 0.0008. In English-speaking and many Asian countries, a period (.) or raised period (•) is used as the decimal separator; in many other countries, a comma is used.
The integer part or integral part of a decimal number is the part to the left of the decimal separator (see also floor function). The part from the decimal separator to the right is the fractional part; if considered as a separate number, a zero is often written in front. Especially for negative numbers, we have to distinguish between the fractional part of the notation and the fractional part of the number itself, because the latter gets its own minus sign. It is usual for a decimal number whose absolute value In mathematics, the absolute value of a real number is its numerical value without regard to its sign. So, for example, 3 is the absolute value of both 3 and −3 is less than one to have a leading zero.
Trailing zeros after the decimal point are not necessary, although in science, engineering and statistics Statistics is a mathematical science pertaining to the collection, analysis, interpretation or explanation, and presentation of data. Statisticians improve the quality of data with the design of experiments and survey sampling. Statistics also provides tools for prediction and forecasting using data and statistical models. Statistics is applicable they can be retained to indicate a required precision or to show a level of confidence in the accuracy of the number: Whereas 0.080 and 0.08 are numerically equal, in engineering 0.080 suggests a measurement with an error of up to 1 part in two thousand (±0.0005), while 0.08 suggests a measurement with an error of up to 1 in two hundred (see Significant figures The significant figures of a number are those digits that carry meaning contributing to its precision (see entry for Accuracy and precision). This includes all digits except:).
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