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According to the Oxford English Dictionary, the word billion was formed in the 16th century (from million and the prefix bi-, "two"), meaning the second power of a million (1,000,000 2 = 10 12). This long scale definition was similarly applied to trillion, quadrillion and so on. The words were originally Latin, and entered English around the ...
1,000,000,000,000, i.e. one million million, or 10 12 (ten to the twelfth power), as defined on the short scale. This is now the meaning in both American and British English. 1,000,000,000,000,000,000, i.e. 10 18 (ten to the eighteenth power), as defined on the long scale. This is one million times larger than the short scale trillion.
Visualisation of powers of 10 from one to 1 trillion. In mathematics, 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 ...
Graphs of y = b x for various bases b: base 10, base e, base 2, base 1 / 2 . Each curve passes through the point (0, 1) because any nonzero number raised to the power of 0 is 1. At x = 1, the value of y equals the base because any number raised to the power of 1 is the number itself.
or m times ten raised to the power of n, where n is an integer, and the coefficient m is a nonzero real number (usually between 1 and 10 in absolute value, and nearly always written as a terminating decimal). The integer n is called the exponent and the real number m is called the significand or mantissa. [1]
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In this notation, powers of ten are expressed as 10 with a numeric superscript, e.g. "The X-ray emission of the radio galaxy is 1.3 × 10 45 joules." When a number such as 10 45 needs to be referred to in words, it is simply read out as "ten to the forty-fifth" or "ten to the forty-five". This is easier to say and less ambiguous than ...
To put in perspective the size of a googol, the mass of an electron, just under 10 −30 kg, can be compared to the mass of the visible universe, estimated at between 10 50 and 10 60 kg. [5] It is a ratio in the order of about 10 80 to 10 90, or at most one ten-billionth of a googol (0.00000001% of a googol).