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0.222...3
In the ternary numeral system (base 3) you can write the number 1 with an infinite number of numerals behind the radix point as
Calculation with an equation
We start with
and multiply both sides with 103, so
At both sides we subtract x
and find
so that
From this follows that 13 = 0.222222…3.
General
You can write the number 0.13 also as 0.0222...3 and 0.013 also as 0.00222...3 etc.