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Extensions of the standard dictionary numbers. This section illustrates several systems for naming large numbers, and shows how they can be extended past vigintillion. Traditional British usage assigned new names for each power of one million (the long scale): 1,000,000 = 1 million; 1,000,0002 = 1 billion; 1,000,0003 = 1 trillion; and so on.
Each of these words translates to the American English or post-1974 British English word billion (10 9 in the short scale). The term billion originally meant 10 12 when introduced. [5] In long scale countries, milliard was defined to its current value of 10 9, leaving billion at its original 10 12 value and so on for the larger numbers. [5]
In the Western system, the next powers of ten are called one hundred thousand, one million, ten million, one hundred million, one billion (short scale)/one thousand million , and so on; in the short scale, there are new words for every third power of ten (10 3n): million (10 6), billion (10 9), trillion (10 12), etc. Written numbers differ in ...
Positional notation (or place-value notation, or positional numeral system) usually denotes the extension to any base of the Hindu–Arabic numeral system (or decimal system). More generally, a positional system is a numeral system in which the contribution of a digit to the value of a number is the value of the digit multiplied by a factor ...
A standardized way of writing very large numbers allows them to be easily sorted in increasing order, and one can get a good idea of how much larger a number is than another one. To compare numbers in scientific notation, say 5×10 4 and 2×10 5, compare the exponents first, in this case 5 > 4, so 2×10 5 > 5×10 4.
Power of 10. Visualisation of powers of 10 from one to 1 trillion. A power of 10 is any of the integer powers of the number ten; in other words, ten multiplied by itself a certain number of times (when the power is a positive integer). By definition, the number one is a power (the zeroth power) of ten. The first few non-negative powers of ten ...
Indefinite and fictitious numbers. Many languages have words expressing indefinite and fictitious numbers —inexact terms of indefinite size, used for comic effect, for exaggeration, as placeholder names, or when precision is unnecessary or undesirable. One technical term for such words is "non-numerical vague quantifier". [1]
Other numbers. Other numbers are given in numerals (3.75, 544) or in forms such as 21 million (or billion, trillion, etc. – but rarely thousand or hundred). Markup: 21{{nbsp}}million. Billion and trillion are understood to represent their short-scale values of 10 9 (1,000,000,000) and 10 12 (1,000,000,000,000), respectively. Keep this in mind ...