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Buckeye_Democrat

(15,168 posts)
4. Yes, it does.
Sat Oct 8, 2022, 08:36 AM
Oct 2022

Not in a practical sense, because we can never actually do anything an infinite number of times -- such as writing a 9 an infinite number of times.

As a concept, however, they're the same.

Just like 1/3 = 0.333333...

Pi equals 3.14159... -- with decimals that never infinitely repeat since it's an irrational number that can't be expressed as a fraction. (Pi is also the sum of a converging infinite series.)

If the decimals infinitely repeat, the corresponding fraction equals the repeating numbers divided by 10 to the power of the number of repeating numbers minus 1 -- e.g., 0.3 (repeating) = 3/(10-1) = 3/9 = 1/3.

And 0.127 (infinitely repeating thereafter) = 127/(1000-1) = 127/999.

If the decimal value is instead 0.38127 (with 127 repeating thereafter), it equals 38/100 + (127/999)/100 = [38x999 + 127]/99900 = 38089/99900.

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Infinite mathematics: a few equations [View all] Tetrachloride Oct 2022 OP
phony math/algebra solution keithbvadu2 Oct 2022 #1
What do you mean by: the "value of x before the decimal point is not the same value as the x ... Jim__ Oct 2022 #2
For 9x equals 9, x equals 1 keithbvadu2 Oct 2022 #3
Yes, it does. Buckeye_Democrat Oct 2022 #4
Also, the proof that it equals 1... Buckeye_Democrat Oct 2022 #5
No matter how you rationalize it, they are not equal. keithbvadu2 Oct 2022 #6
They get infinitely close, hence they're equal. Buckeye_Democrat Oct 2022 #7
It can be accepted as equal for practical purposes but they will never be equal. keithbvadu2 Oct 2022 #8
If they're not equal, then there is a number between them. Dr. Strange Oct 2022 #9
It's 'infinitely' small but it's still there. keithbvadu2 Oct 2022 #10
Okay. Dr. Strange Oct 2022 #11
Already have. 'Infinitely' small. keithbvadu2 Oct 2022 #12
That's weird. Dr. Strange Oct 2022 #13
Love your play. keithbvadu2 Oct 2022 #14
None. Dr. Strange Oct 2022 #15
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