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An order-of-magnitude estimate of a variable, whose precise value is unknown, is an estimate rounded to the nearest power of ten. For example, an order-of-magnitude estimate for a variable between about 3 billion and 30 billion (such as the human population of the Earth) is 10 billion. To round a number to its nearest order of magnitude, one ...
Thus one will expect to be within 1 ⁄ 8 to 8 times the correct value – within an order of magnitude, and much less than the worst case of erring by a factor of 2 9 = 512 (about 2.71 orders of magnitude). If one has a shorter chain or estimates more accurately, the overall estimate will be correspondingly better.
In the above example, the left-hand side could be of equal order of magnitude as the right-hand side. Rule3-If in the sum of two terms given by = + the order of magnitude of one term is greater than order of magnitude of the other term > ()
This is an accepted version of this page This is the latest accepted revision, reviewed on 17 January 2025. Observation that in many real-life datasets, the leading digit is likely to be small For the unrelated adage, see Benford's law of controversy. The distribution of first digits, according to Benford's law. Each bar represents a digit, and the height of the bar is the percentage of ...
An order-of-magnitude estimate is prepared when little or no design information is available for the project. It is called order of magnitude because that may be all that can be determined at an early stage. In other words, perhaps we can only determine that it is of a 10,000,000 magnitude as opposed to a 1,000,000 magnitude.
The template gives 0 for 0. Although, strictly speaking, this is mathematically incorrect it has been designed this way so as to be more useful in other templates. An important example of this is that when used by {} 0 °C or 0 °F is considered to be on the same order of magnitude as ±1 °C or ±1 °F respectively.
The following is a very approximate order-of-magnitude estimate of the likelihood of alignments, assuming a plane covered with uniformly distributed "significant" points. Consider a set of n points in a compact area with approximate diameter L and area approximately L 2.
This template calculates the order of magnitude of numbers within the ranges 10^300 to 10^−300 and −10^−300 to −10^300. Template parameters [Edit template data] Parameter Description Type Status Number 1 The number to find the order of magnitude of Number required See also {{ Orders of magnitude }} {{ Fractions }} {{ Fractions and ratios }} The above documentation is transcluded from ...