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[weegillis]

8071

There is no precise value, only a limit, which is never reached, only approached.

A precise value is limited to n digits, which if it is an evaluation, n must not be more than the least number of digits used in the calculation.

For example, 24 x 3600 could be rewritten as 2.4 x 10^1 * 3.600 x 10^3 = 2.4 * 3.600 * 10^4 = 8.640 * 10^4. To match the precision of the coefficients, this must be rounded down to 8.6 X 10^4.

The exception to the above would be if the result was being carried over to another calculation, in which case the value carried over would be 8.64 X 10^4, but the final result must still be reduced to two digits.

[deepsand]

nine point nine five

Actually, it's value is exactly 10.

1) X = 9.999...

2) 10X = 99.999...

3) Subtracting X from 10X = 9X = 90

4) X = 10

Any number with repeating digits is a rational number, the numerator and denominator of which can be determined by using the above technique.

Another example - 0.2857142857142857142857142857... .

Z = 0.2857142857142857142857142857...

1000000Z = 285714.2857142857142857142857142857

999999Z = 285714

GCD of 999999 and 285714 is 142857, so that it reduces to

7Z = 2

Z = 2/7

[LD]

8073

Ya. What he said.

[C0ldf1re]

8074

...
Any number with repeating digits is a rational number, the numerator and denominator of which can be determined by using the above technique.
...

Gosh, Deep, you're so clever! You must know everything! Now explain women, please.

[deepsand]

nine point nine six

Gosh, Deep, you're so clever! You must know everything! Now explain women, please.

Sorry; I only do the rational.

[weegillis]

8076

I beg to differ on terminology - precise vs. exact. Were we to ask for an EXACT value of 9.999..., the answer would be 10.

Sticking with my understanding of precision.

[deepsand]

nine point nine seven

precise:

1. Clearly expressed or delineated; definite
2. Exact, as in performance, execution, or amount; accurate or correct

American Heritage® Dictionary of the English Language, Fourth Edition

[Tubby]

8078
it is just a number.

If I had a legal document consisting of ten pages and I accidently dropped one page of the document into my shredder and chopping it into thousand peices and was unable to find one missing piece. .

If that missing piece was the bit of paper with the signature on?
If the missing bit was just a blank portion at the bottom of the page?

9.999 is just a number . . it has no value.

[deepsand]

nine point nine eight

9.999 is not quite the same as 9.999...

The difference between them is exactly 0.001.

[Tubby]

All numbers are a merely a conceptual aid (tool) There is no such thing as 6 or a 5 or a 9.999. . .

The only thing there is more than 'one' of in this world are numbers. Of all the people and grains of sand on earth, each and every one of them is different, even has its own location. (One of each)

Mathematician's turn into silly people the moment they start believing that numbers are real and not merely a conceptual aid.

We should shoot mathematicians on sight . . They are a 'pest'.