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While base ten is normally used for scientific notation, powers of other bases can be used too, [25] base 2 being the next most commonly used one. For example, in base-2 scientific notation, the number 1001 b in binary (=9 d) is written as 1.001 b × 2 d 11 b or 1.001 b × 10 b 11 b using binary numbers (or shorter 1.001 × 10 11 if binary ...
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.
Giga-(/ ˈ ɡ ɪ ɡ ə / or / ˈ dʒ ɪ ɡ ə /) is a unit prefix in the metric system denoting a factor of a short-scale billion or long-scale milliard (10 9 or 1,000,000,000). It has the symbol G. Giga-is derived from the Greek word γίγας (gígas), meaning "giant".
It was first suggested that a googolplex should be 1, followed by writing zeros until you got tired. This is a description of what would happen if one tried to write a googolplex, but different people get tired at different times and it would never do to have Carnera a better mathematician than Dr. Einstein, simply because he had more endurance ...
For higher powers of ten, naming diverges. The Indian system uses names for every second power of ten: lakh (10 5), crore (10 7), arab (10 9), kharab (10 11), etc. In the two Western systems, long and short scales, there are names for every third power of ten. The short scale uses million (10 6), billion (10 9), trillion (10 12), etc.
Scientific notation is a way of writing numbers of very large and very small sizes compactly. 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 × 10 n. Or more compactly as: 10 n. This is generally used to denote powers of 10.
Billion is a word for a large number, and it has two distinct definitions: 1,000,000,000 , i.e. one thousand million , or 10 9 (ten to the ninth power ), as defined on the short scale . This is now the most common sense of the word in all varieties of English; it has long been established in American English and has since become common in ...
For a number written in scientific notation, this logarithmic rounding scale requires rounding up to the next power of ten when the multiplier is greater than the square root of ten (about 3.162). For example, the nearest order of magnitude for 1.7 × 10 8 is 8, whereas the nearest order of magnitude for 3.7 × 10 8 is 9.