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Longman Dictionary of Contemporary English
order of magnitude
noun
EXAMPLES FROM CORPUS
▪ All these matters are indeed of a lower order of magnitude than those which had been fought for under Lanfranc and Anselm.
▪ In the infrared, extinction by dust is an order of magnitude smaller than in the visible portion of the spectrum.
▪ People are normally considered to be risk-averse over amounts of the order of magnitude of their incomes.
▪ Switched hubs can improve network efficiency by more than an order of magnitude.
▪ These figures serve to indicate a relative order of magnitude.
▪ This is down an order of magnitude from the gas-coal mixture approach.
Wiktionary
order of magnitude

n. 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 10^2 = 100, 10^3 = 1000, and 10^6 = a million.

WordNet
order of magnitude
  1. n. 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" [syn: order]

  2. 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 [syn: magnitude]

Wikipedia
Order of magnitude

Orders of magnitude are written in powers of 10. For example, the order of magnitude of is 3, since may be written as 1.5.

Differences in order of magnitude can be measured on the logarithmic scale in " decades" (i.e., factors of ten). Examples of numbers of different magnitudes can be found at Orders of magnitude (numbers).

Usage examples of "order of magnitude".

It wasn't perfect, and, to the disappointment of some, was fully an order of magnitude worse than that of the Americans' newest missiles, but for the purposes of the test, it was quite sufficient.

If the medical data base that we had brought along fiom Earth had been an order of magnitude larger, then perhaps I would be able to identify its origin without any guessing.

One of the tunnels was large, five or six meters from top to bottom, while the opposite tunnel was almost exactly an order of magnitude smaller.

Some sort of settlement of the same order of magnitude would be appropriate for each of the others, I believe.

As it was, the ancient shuttles they'd inherited, another order of magnitude faster, had managed the task for him and the others in a little under a year.

Still, Peter was surprised to see how small a house Hans had hada pleasing reminder that, at least in economic matters, Peter had been his better by an order of magnitude.

I wouldn't have wanted to run him up against Huitzilopochtli or Huehueteotl, but the One Called Night wasn't a Power on their order of magnitude himself.

I wouldn't have wanted to run him up against Huitzilopochtii or Huehueteoti, but the One Called Night wasn't a Power on their order of magnitude himself.

And stabilizing them presents challenges an order of magnitude more difficult than before.

It doesn't account for humans outliving mice by an order of magnitude, for instance.

This is the minimum number, with respect to the order of magnitude of our search, that could have any conclusive significance.