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What is 10 to the million power?

Positive powers Name Power Number million 6 1,000,000 ten million (crore (India)) 7 10,000,000 hundred million 8 100,000,000 billion (milliard) 9 1,000,000,000 37 more rows

en.wikipedia.org - Power of 10 - Wikipedia
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Ten raised to an integer power

This article is about the mathematical concept. For other uses, see Power of 10 (disambiguation)

Visualisation of powers of 10 from one to 1 billion.

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 are:

Positive powers [ edit ]

In decimal notation the nth power of ten is written as '1' followed by n zeroes. It can also be written as 10n or as 1En in E notation. See order of magnitude and orders of magnitude (numbers) for named powers of ten. There are two conventions for naming positive powers of ten, beginning with 109, called the long and short scales. Where a power of ten has different names in the two conventions, the long scale name is shown in parentheses. The positive 10 power related to a short scale name can be determined based on its Latin name-prefix using the following formula: 10[(prefix-number + 1) × 3]

Examples:

billion = 10 [(2 + 1) × 3] = 10 9

= 10 octillion = 10[(8 + 1) × 3] = 1027

Negative powers [ edit ]

The sequence of powers of ten can also be extended to negative powers. Similar to the positive powers, the negative power of 10 related to a short scale name can be determined based on its Latin name-prefix using the following formula: 10−[(prefix-number + 1) × 3]

Examples:

billionth = 10 −[(2 + 1) × 3] = 10 −9

= 10 quintillionth = 10−[(5 + 1) × 3] = 10−18

Name Power Number SI symbol SI prefix one 0 1 tenth −1 0.1 d deci hundredth −2 0.01 c centi thousandth −3 0.001 m milli ten-thousandth (Myriadth) −4 0.000 1 hundred-thousandth (Lacth) −5 0.000 01 millionth −6 0.000 001 μ micro billionth −9 0.000 000 001 n nano trillionth −12 0.000 000 000 001 p pico quadrillionth −15 0.000 000 000 000 001 f femto quintillionth −18 0.000 000 000 000 000 001 a atto sextillionth −21 0.000 000 000 000 000 000 001 z zepto septillionth −24 0.000 000 000 000 000 000 000 001 y yocto octillionth −27 0.000 000 000 000 000 000 000 000 001 r ronto nonillionth −30 0.000 000 000 000 000 000 000 000 000 001 q quecto decillionth −33 0.000 000 000 000 000 000 000 000 000 000 001 undecillionth −36 0.000 000 000 000 000 000 000 000 000 000 000 001 duodecillionth −39 0.000 000 000 000 000 000 000 000 000 000 000 000 001 tredecillionth −42 0.000 000 000 000 000 000 000 000 000 000 000 000 000 001 quattuordecillionth −45 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 quindecillionth −48 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 sexdecillionth −51 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 septendecillionth −54 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 octodecillionth −57 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 novemdecillionth −60 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 vigintillionth −63 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 unvigintillionth −66 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 duovigintillionth −69 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 trevigintillionth −72 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 quattuorvigintillionth −75 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 quinvigintillionth −78 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 sexvigintillionth −81 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 septenvigintillionth −84 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 octovigintillionth −87 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 novemvigintillionth −90 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 trigintillionth −93 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 googolth −100 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 1 centillionth −303 0.000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 001 googolplexth −googol ten to the negative 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 power || ||

Googol [ edit ]

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The number googol is 10100. The term was coined by 9-year-old Milton Sirotta, nephew of American mathematician Edward Kasner. It was popularized in Kasner's 1940 book Mathematics and the Imagination, where it was used to compare and illustrate very large numbers. Googolplex, a much larger power of ten (10 to the googol power, or 1010100), was also introduced in that book. (Read below)

Googolplex [ edit ]

Scientific notation [ edit ]

Scientific notation is a way of writing numbers of very large and very small sizes compactly when precision is less important. A number written in scientific notation has a significand (sometime called a mantissa) multiplied by a power of ten.

Sometimes written in the form:

m × 10n

Or more compactly as:

10n

This is generally used to denote powers of 10. Where n is positive, this indicates the number of zeros after the number, and where the n is negative, this indicates the number of decimal places before the number.

As an example:

105 = 100,000[1] 10−5 = 0.00001[2]

The notation of mEn, known as E notation, is used in computer programming, spreadsheets and databases, but is not used in scientific papers.

See also [ edit ]

Power of two

Power of three

SI prefix

Cosmic View, inspiration for the film Powers of Ten

Exponentiation

Further reading [ edit ]

Video

Powers of Ten (1977). Nine-minute film. US Public Broadcasting Service (PBS), made by Charles and Ray Eames. "An adventure in magnitudes. Starting at a picnic by the lakeside in Chicago, this film transports the viewer to the outer edges of the universe. Every ten seconds we view the starting point from ten times farther out until our own galaxy is visible only as a speck of light among many others. Returning to Earth with breathtaking speed, we move inward - into the hand of the sleeping picnicker - with ten times more magnification every two seconds. Our journey ends inside a proton of a carbon atom within a DNA molecule in a white blood cell."

en.wikipedia.org - Power of 10 - Wikipedia
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