I Can I add any number of zeros to 0.00 ... 1?

Click For Summary
Adding zeros to the decimal representation of a number like 0.001 can create a perception of unlimited possibilities, but mathematically, there are restrictions. While one can insert any finite number of zeros before a non-zero digit, attempting to create an infinite sequence of zeros followed by a non-zero digit leads to an undefined number. The concept of infinitesimals is discussed, but it is generally considered outdated in standard real number analysis. Ultimately, a number with an infinite decimal expansion cannot represent a finite value, and any valid decimal representation must adhere to specific positional rules. Thus, while zeros can be added, they cannot be infinite without losing the number's definition.
  • #31
Sadly, our post limit has exceeded the number of zeros you want to add, and there have been sufficient attempts to answer this question. Therefore, it's time to close this thread and thank all who contributed.

The OP might be interested to read about hyperreal numbers:

https://en.wikipedia.org/wiki/Hyperreal_number

and their connection to Calculus but that's for another time and another thread.

Jedi
 
  • Like
Likes nmz, SammyS and PeroK

Similar threads

B Is one out of infinity different from zero?
  • · Replies 31 ·
2
Replies
31
Views
3K
B Dividing by infinity, exactly, finally!
  • · Replies 40 ·
2
Replies
40
Views
6K
I Raising to the power of 0 or 1
  • · Replies 17 ·
Replies
17
Views
2K
I Zero raised to a positive real number
  • · Replies 12 ·
Replies
12
Views
2K
I Expressing any given point on plane with one unique number
  • · Replies 4 ·
Replies
4
Views
2K
B Arithmetic mean of an infinite number of points?
  • · Replies 20 ·
Replies
20
Views
2K
B How many numbers are there between 0 and 1
  • · Replies 12 ·
Replies
12
Views
5K
I Is this a proof of the Collatz Conjecture?
  • · Replies 8 ·
Replies
8
Views
3K
Can N be any number when divided by infinity?
  • · Replies 7 ·
Replies
7
Views
2K
I Karatsuba multiplication implementation question
  • · Replies 3 ·
Replies
3
Views
2K