# 0.9999 ... = 1

#### soroban

##### Well-known member

They were discussing $$0.9999\cdots \,=\,1$$ at another site.

My mind (usually linear) slipped a quarter-inch to the left
. . and I came up with this scenario.

Suppose we ignore the fact that: $$10 \div 1 \,=\,10.$$

Instead, we say: 10 divided by 1 equals 9 with remainder 1.

Then we have:
Code:
          0.9 9 9 9 ...
---------------
1 ) 1.0 0 0 0 ...
9
---
1 0
9
---
1 0
9
---
1 0
9
---
1
Is that interesting? . . . or just weird?