ELi5: Significant figures

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if the zeroes of 0.000005 is not significant then might as well throw em all in the trash and put it as 5

So, 0.000005 is = 5 which is obviously wrong

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Can someone explain to me what perspective I need to understand them? And also why my mindset is wrong

In: Mathematics

8 Answers

Anonymous 0 Comments

This idea usually better expressed in scientific notation https://www.mathsisfun.com/numbers/scientific-notation.html

Because the “magnitude” of the value is also put in the exponent of 10^, what’s left is how many digits you want to write in the “coefficient”.

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edits:

Don’t get stuck with the name “significant”
The idea is, sometime we get the number 1.23456789 or 98765.4321
But we don’t need all the precision,
sometimes we only want 1.23 or 98800
how would you call this?
People call this “rounding to 3 significant digit” what do you think people should call it instead?

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