**by the factor of 10**." exactly how much portion does "by a variable of 10" make?Many thanks for your help.

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Speaking together an engineer, ns would analyze "reduce ... By a variable of ten" as an interpretation "reduce to one tenth of its original value". The brand-new value would be 10% the the old one, which would certainly be a 90% reduction.

Saying "reduce through 90%" sounds much more precise and has much less emotional impact. "Factor the ten" doesn"t need to mean precisely 10.0.

You"ll occasionally hear "order the magnitude" used rather of "factor the ten". Technically, they mean virtually the exact same thing, but in casual speech "order~~ of magnitude ~~

~~EDIT: A lot of of world seem come be obtaining this wrong, so i will carry out some examples. First, indigenous the Wikipedia short article on order of magnitude:~~

An order-of-magnitude difference in between two worths is a **factor of 10**. Because that example, the fixed of the world Saturn is **95 times** that of Earth, so Saturn is **two assignment of magnitude** an ext massive 보다 Earth. Order-of-magnitude differences are called years when measure up on a logarithmic scale.

From HyperPhysics:

...a commonly used preeminence of ignorance for sound loudness argues that one offending sound must be lessened by a variable of ten in intensity to be lessened to fifty percent as loud.

Here"s a an ext extreme example from a page around gravitational tide detection:

In all, noise is decreased by a element of ten billion.

Obviously this doesn"t median that the noise was lessened by 0.00000001%, because that would certainly be a ridiculously small difference.

From a page on chemistry:

Serial dilutions involve diluting a stock or standard equipment multiple times in a row. Typically, the dilution element remains continuous for every dilution, bring about an exponential to decrease in concentration. For example, a ten-fold serial dilution could an outcome in the adhering to concentrations: **1 M, 0.1 M, 0.01 M, 0.001 M,** and also so on. As is evidenced in this example, the concentration is **reduced by a factor of ten** in each step.

From a page on software program for data backup:

At the worst, we took **more 보다 72 hours** because that a full backup ... V the Quantum solution, a full backup of our job-related is currently completed in **eight come ten hours**. The time needed has been **reduced by a variable of ten**.

From a paper on trash palliation at take-out restaurants:

At Homeplate, the trash has been **reduced by a element of ten**, meaning the usual **fifty pounds the trash** coming from the venue native each enjoy the meal (lunch, dinner) has reduced to a only **five pounds of trash** and five pounds the composting.

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I uncovered these through Googling "reduced through a factor of ten" and looking for records that mentioned particular numbers. In no case did I discover anything to imply that to reduce by a element of ten method a 10% reduction. I have actually never heard together a usage and will be an extremely surprised if I ever do.