The approximation sign "≈" I use for decimal approximations with tilde "~" being a rougher approximation. Tilde "~" I use to state a geometric shape is similar to another one ie a triangle of sides 3/4/5 is similar to a triangle with sides 30/40/50.

2017年2月14日 · Another approximation symbol is the double-tilde ≈, meaning "approximately equal to",[5][7][8] the critical difference being the subjective level of accuracy: ≈ indicates a value which can be considered functionally equivalent for a calculation within an acceptable degree of error, whereas ~ is usually used to indicate a larger, possibly ...

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2017年8月2日 · I have a question regarding the placement of the almost equal to sign in relation to the equal to sign. For example, can I write: $$129{.}87\cdot 6\approx 130 \cdot 6 = 780 $$ or is it more correct to write: $$129{.}87\cdot 6\approx 130 \cdot 6 \approx 780 $$ since $129{.}87\cdot 6$ is not equal to the approximation $780$?

There is no universally accepted notation, but $\approx$ and $\simeq$ both generally mean "approximately equal to." However $\simeq$ is sometimes used to denote "is similar," for instance that two triangles are similar ($\triangle ABC \simeq \triangle DEF$). You would rarely, if ever, use $\approx$ in that situation.

2015年6月23日 · The use of an equal sign is probably because of a bad textbook, or that the writers used it because the rounded answer is very close to the real answer. This is usually the case when the answers are off by less than $\pm \epsilon$, which is determined by the writers (usually $10^{-4}$)

2018年1月12日 · $\begingroup$ I think normally authors will add a "$\ldots$" to the quantity on the right to indicate that it is exactly equal to the left side, but not exactly equal to $0.0588$, instead of weakening the sense of equality. $\endgroup$ –

2021年3月7日 · You should leave the 2 d.p.in the answer and personally I wouldn't use the approximation sign as your answer is equal to -5.06 to two decimal places $\endgroup$ – John Hunter Commented Mar 7, 2021 at 23:42

2013年9月28日 · The symbol U+2248 “≈” denotes, according to the standard, the relation “is approximately equal to”. This is an intentionally vague relation; the standard adds: “It depends on the user whether an approximation is sufficiently good. Equality is not excluded.”

2010年7月28日 · $\begingroup$ I don't see anywhere on the Wikipedia page you linked to where it recommended writing $\pi \fallingdotseq 3.14\ldots.$ It says that $\fallingdotseq$ means "asymptotically equal to," which is a different kind of approximation.