Decimal Expansion

  • Thread starter Swetasuria
  • Start date
  • #1
Swetasuria
48
0
I read here in Physics Forums that a number can have more than one decimal expansion.

Really? Can someone explain how?

Is it that any number can have more than one decimal expansion or only some numbers?
 
Last edited:

Answers and Replies

  • #2
pwsnafu
Science Advisor
1,082
85
See the 0.9... article on Wikipedia or the https://www.physicsforums.com/showpost.php?p=3357236&postcount=1 on this forum.
 
  • #3
uart
Science Advisor
2,797
21
I read here in Physics Forums that a number can have more than one decimal expansion.

Really? Can someone explain how?

Is it that any number can have more than one decimal expansion or only some numbers?

Hi Swetasuria. You can take the "usual" decimal expansion of any terminating decimal and replace the last digit with one smaller, then add repeating 9's after that, and yes it's the same number. :smile:
 

Suggested for: Decimal Expansion

Replies
8
Views
925
  • Last Post
Replies
0
Views
593
  • Last Post
Replies
9
Views
896
Replies
54
Views
3K
  • Last Post
Replies
5
Views
922
Replies
1
Views
753
Replies
3
Views
1K
  • Last Post
Replies
3
Views
997
Replies
7
Views
377
Top