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Order of magnitude is a concept used to discuss the scale of numbers in relation to one another. Two numbers are "within an order of magnitude" of each other if their ratio is between 1/10 and 10. In other words, the two numbers are within about a factor of 10 of each other. [1] For example, 1 and 1.02 are within an order of magnitude.
A Fermi estimate (or order-of-magnitude estimate, order estimation) is an estimate of an extreme scientific calculation. The estimation technique is named after physicist Enrico Fermi as he was known for his ability to make good approximate calculations with little or no actual data.
1×10 −1: multiplication of two 10-digit numbers by a 1940s electromechanical desk calculator [1] 3×10 −1: multiplication on Zuse Z3 and Z4, first programmable digital computers, 1941 and 1945 respectively; 5×10 −1: computing power of the average human mental calculation [clarification needed] for multiplication using pen and paper
Mathematics:, order of magnitude of an upper bound that occurred in a proof of Skewes (this was later estimated to be closer to 1.397 × 10 316). Cosmology: The estimated number of Planck time units for quantum fluctuations and tunnelling to generate a new Big Bang is estimated to be 10 10 10 56 {\displaystyle 10^{10^{10^{56}}}} .
To help compare orders of magnitude, this section lists lengths between 100 and 1,000 kilometers (10 5 and 10 6 meters). Conversions A distance of 100 kilometers is equal to about 62 miles (or 62.13711922 miles).
List of orders of magnitude for energy; Factor (joules) SI prefix Value Item 10 −34 6.626 × 10 −34 J: Energy of a photon with a frequency of 1 hertz. [1] 8 × 10 −34 J: Average kinetic energy of translational motion of a molecule at the lowest temperature reached (38 picokelvin [2] as of 2021) 10 −30: quecto-(qJ) 10 −28 6.6×10 −28 J
An overview of ranges of mass. To help compare different orders of magnitude, the following lists describe various mass levels between 10 −67 kg and 10 52 kg. The least massive thing listed here is a graviton, and the most massive thing is the observable universe.
The order of magnitude of data may be specified in strictly standards-conformant units of information and multiples of the bit and byte with decimal scaling, or using historically common usages of a few multiplier prefixes in a binary interpretation which has been common in computing until new binary prefixes were defined in the 1990s..