For other uses, see Order of magnitude (disambiguation).
This article possibly contains original research. Please improve it by verifying the claims made and adding inline citations. Statements consisting only of original research should be removed.(February 2024) (Learn how and when to remove this message)
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).[1] Examples of numbers of different magnitudes can be found at Orders of magnitude (numbers).
^Brians, Paus. "Orders of Magnitude". Retrieved 9 May 2013.
and 16 Related for: Order of magnitude information
An orderofmagnitude is an approximation of the logarithm of a value relative to some contextually understood reference value, usually 10, interpreted...
direction Magnitude (mathematics), the relative size of an object Norm (mathematics), a term for the size or length of a vector Orderofmagnitude, the class...
American Society of Professional Estimators (ASPE) defines estimate levels in the reverse order as Level 1 – Order (Range) ofMagnitude, Level 2 – Schematic/Conceptual...
axis of rotation and how fast the axis itself changes direction. The magnitudeof the pseudovector, ω = ‖ ω ‖ {\displaystyle \omega =\|{\boldsymbol {\omega...
feasibility study used in mining, orderofmagnitude, preliminary feasibility and detailed feasibility. Orderofmagnitude feasibility studies (sometimes...
molecules. Observed values of viscosity vary over several orders ofmagnitude, even for common substances (see the orderofmagnitude table below). For instance...
question, Fermi estimate), also known as a order-of-magnitude problem (or order-of-magnitude estimate, order estimation), is an estimation problem designed...
Apparent magnitude (m) is a measure of the brightness of a star or other astronomical object to an observer on Earth. An object's apparent magnitude depends...
informally used to mean the number of significant figures, in increasing orderof accuracy, or to the orderofmagnitude. However, this may be confusing...
This list compares various amounts of computing power in instructions per second organized by orderofmagnitude in FLOPS. Scientific E notation index:...
a list of stars arranged by their apparent magnitude – their brightness as observed from Earth. It includes all stars brighter than magnitude +2.50 in...
Seismic magnitude scales are used to describe the overall strength or "size" of an earthquake. These are distinguished from seismic intensity scales that...
relations can still be used to deduce orders ofmagnitudeof the quantities in question. In terms oforderofmagnitude, J B ∼ ρ Ω u {\displaystyle \;J\,B\sim...
11 : 11, 9, 1 13 : 13, 1 The orderof 1 is 1, the orders of 3 and 5 are 6, the orders of 9 and 11 are 3, and the orderof 13 is 2. Thus, 3 and 5 are the...
index. The sum is then divided by a divisor which reduces the order ofmagnitudeof the result. Index funds that attempt to track the Nasdaq Composite...
Global Information