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The base 3 appears 5 times in the multiplication, because the exponent is 5. Here, 243 is the 5th power of 3, or 3 raised to the 5th power. The word "raised" is usually omitted, and sometimes "power" as well, so 3 5 can be simply read "3 to the 5th", or "3 to the 5".
or m times ten raised to the power of n, where n is an integer, and the coefficient m is a nonzero real number ... 350 can be written as 3.5 × 10 2 or 35 ...
The name of a number 10 3n+3, where n is greater than or equal to 1000, is formed by concatenating the names of the numbers of the form 10 3m+3, where m represents each group of comma-separated digits of n, with each but the last "-illion" trimmed to "-illi-", or, in the case of m = 0, either "-nilli-" or "-nillion". [17]
Engineering notation or engineering form (also technical notation) is a version of scientific notation in which the exponent of ten is always selected to be divisible by three to match the common metric prefixes, i.e. scientific notation that aligns with powers of a thousand, for example, 531×10 3 instead of 5.31×10 5 (but on calculator displays written without the ×10 to save space).
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
1.1 × 10 3 W tech: power of a microwave oven: 1.366 × 10 3 W astro: power per square meter received from the Sun at the Earth's orbit: 1.5 × 10 3 W tech: legal limit of power output of an amateur radio station in the United States up to 2 × 10 3 W biomed: approximate short-time power output of sprinting professional cyclists and ...
Generally, the order of magnitude of a number is the smallest power of 10 used to represent that number. [4] To work out the order of magnitude of a number , the number is first expressed in the following form:
Yao's method collects in u first those x i that appear to the highest power ; in the next round those with power are collected in u as well etc. The variable y is multiplied h − 1 {\displaystyle h-1} times with the initial u , h − 2 {\displaystyle h-2} times with the next highest powers, and so on.