"Pneumatic tampers and also more powerful formjob-related, as offered nowadays for circumstances in Australia, can alleviate the labor input by the factor of 10." How much percent does "by a variable of 10" make?Many thanks for your aid.

You are watching: What does it mean to be off by a factor of 2



Speaking as an engineer, I would certainly translate "mitigate ... by a element of ten" as interpretation "reduce to one tenth of its original value". The brand-new value would certainly be 10% of the old one, which would certainly be a 90% reduction.

Saying "alleviate by 90%" sounds even more precise and has actually much less emotional influence. "Factor of ten" does not have to intend precisely 10.0.

You"ll periodically hear "order of magnitude" used rather of "element of ten". Technically, they expect almost the very same point, but in casual speech "order of magnitude " is provided figuratively to intend "a lot".

EDIT: A lot of people seem to be obtaining this wrong, so I will certainly provide some examples. First, from the Wikipedia short article on orders of magnitude:

An order-of-magnitude difference in between two values is a aspect of 10. For instance, the mass of the world Sarevolve is 95 times that of Earth, so Saturn is two orders of magnitude more massive than Earth. Order-of-magnitude distinctions are referred to as years once measured on a logarithmic scale.

From HyperPhysics:

...a generally provided preeminence of thumb for sound loudness argues that an offending sound need to be reduced by a element of ten in intensity to be decreased to fifty percent as loud.


Here"s an extra too much example from a page about gravitational wave detection:

In all, noise is reduced by a aspect of ten billion.

Obviously this doesn"t suppose that the noise was decreased by 0.00000001%, given that that would be a ridiculously little difference.

From a web page on chemistry:

Serial dilutions involve diluting a stock or standard solution multiple times in a row. Normally, the dilution factor stays constant for each dilution, resulting in an exponential decrease in concentration. For instance, a ten-fold serial dilution could cause the following 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 diminished by a variable of ten in each step.

From a web page on software application for information backup:

At its worst, we took even more than 72 hours for a complete backup ... With the Quantum solution, a full backup of our occupational is now completed in eight to ten hours. The time essential has actually been reduced by a aspect of ten.

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

At Homeplate, the trash has actually been decreased by a aspect of ten, definition the usual fifty pounds of trash coming from the venue from each meal (lunch, dinner) has actually decreased to a mere five pounds of trash and also five pounds of composting.

See more: Series / Pair Of Kings Why Did Brady Leave The Show, Reviews: Pair Of Kings

I found these by Googling "lessened by a factor of ten" and trying to find documents that pointed out particular numbers. In no instance did I discover anything to indicate that reducing by a aspect of ten indicates a 10% reduction. I have never before heard such a consumption and will certainly be extremely surprised if I ever carry out.