Re: significant digits
- From: Virgil <Virgil@xxxxxxxxx>
- Date: Thu, 12 Mar 2009 17:05:04 -0600
In article
<7291483c-85ad-459d-8112-99634a048ecf@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
Mensanator <mensanator@xxxxxxx> wrote:
I got into a long argument this afternoon with a couple people who are
supposed to know this.
I said they were wrong, but on the slight chance that I'm wrong, I
thought I would solicit some opinions.
The number 0.0137 has how many significant digits? I say 3, the others
say 4.
I don't count ANY leading zeroes with no regard to the decimal point,
they count every digit after the decimal point.
I say that
1.37
0.137
0.0137
0.00137
0.000137
all have 3 significant digits.
I'm correct about this, aren't I?
Yes. Consider rewriting all numbers in scientific notation, a mantissa
followed by a power of 10, so that the first digit the mantissa of all
non-zero numbers is non-zero.
Then all digits of a non-zero mantissa are considered to be significant.
http://en.wikipedia.org/wiki/Significand
.
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