What does order of magnitude mean?
Definitions for order of magnitude
or·der of mag·ni·tude
This dictionary definitions page includes all the possible meanings, example usage and translations of the word order of magnitude.
Princeton's WordNet
order, order of magnitudenoun
a degree in a continuum of size or quantity
"it was on the order of a mile"; "an explosion of a low order of magnitude"
order of magnitude, magnitudenoun
a number assigned to the ratio of two quantities; two quantities are of the same order of magnitude if one is less than 10 times as large as the other; the number of magnitudes that the quantities differ is specified to within a power of 10
Wiktionary
order of magnitudenoun
The class of scale or magnitude of any amount, where each class contains values of a fixed ratio (most often 10) to the class preceding it. For example, something that is 2 orders of magnitude larger is 100 times larger, something that is 3 orders of magnitude larger is 1000 times larger, and something that is 6 orders of magnitude larger is a million times larger, because = 100, = 1000, and = a million.
Wikipedia
Order of magnitude
An order of magnitude is an approximation of the logarithm of a value relative to some contextually understood reference value, usually 10, interpreted as the base of the logarithm and the representative of values of magnitude one. Logarithmic distributions are common in nature and considering the order of magnitude of values sampled from such a distribution can be more intuitive. When the reference value is 10, the order of magnitude can be understood as the number of digits in the base-10 representation of the value. Similarly, if the reference value is one of some powers of 2, since computers store data in a binary format, the magnitude can be understood in terms of the amount of computer memory needed to store that value. Differences in order of magnitude can be measured on a base-10 logarithmic scale in “decades” (i.e., factors of ten). Examples of numbers of different magnitudes can be found at Orders of magnitude (numbers).
ChatGPT
order of magnitude
Order of magnitude refers to the size or extent of something quantifiable, classifying it within a certain numerical range or degree within a logarithmic scale. Typically, it is defined by powers of ten. In simpler terms, the order of magnitude gives a rough idea of the quantity of an object or concept, compared to other similar objects or concepts, with an emphasis on being approximately right rather than precisely accurate. For instance, if a quantity is in the hundreds, its order of magnitude is 2. If it's in the thousands, its order of magnitude is 3, and so on. This term is commonly used in scientific fields such as physics, astronomy, and engineering.
Wikidata
Order of magnitude
An order of magnitude is the class of scale or magnitude of any amount, where each class contains values of a fixed ratio to the class preceding it. In its most common usage, the amount being scaled is 10 and the scale is the exponent being applied to this amount. Such differences in order of magnitude can be measured on the logarithmic scale in "decades". The order of magnitude of a physical quantity is its magnitude in powers of ten when that physical quantity is expressed in powers of ten with one digit to the left of decimal. "We say two numbers have the same order of magnitude of a number if the big one divided by the little one is less than 10. For example, 23 and 82 have the same order of magnitude, but 23 and 820 do not." - John Baez
Numerology
Chaldean Numerology
The numerical value of order of magnitude in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of order of magnitude in Pythagorean Numerology is: 4
Examples of order of magnitude in a Sentence
They store huge amounts of carbon, are essential for the cycling of nutrients, for water and air quality, and for countless human services, yet you ask people to estimate, within an order of magnitude, how many trees there are and they don't know where to begin. I don't know what I would have guessed, but I was certainly surprised to find that we were talking about trillions.
We expect ongoing volatility for the balance of this year, and probably continuing in 2017, based on fund flows, increases in default rates and ongoing global events whether from China or elsewhere, loans will see ups and downs, but not to the same order of magnitude at all as the high-yield bond market.
Who ordered the duck is the big question which you would expect to hear at a dinner party, but not at the center of a national campaign, i was far more offended by the Veritas tape that showed the planning for the violence and then blamed it on Trump, he added. I think that's at a high order of magnitude.
You can change [your estimates] by an order of magnitude by taking purifying selection into account.
Loans will see ups and downs, but not to the same order of magnitude at all as the high-yield bond market.
Translations for order of magnitude
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"order of magnitude." Definitions.net. STANDS4 LLC, 2024. Web. 18 Apr. 2024. <https://www.definitions.net/definition/order+of+magnitude>.
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