Answer
$23.825$ to $23.835$
Work Step by Step
You are given the number $23.83$, and asked for the range represented by it.
To find out the range, look at the upper and lower bounds of the number. Assume that this number has been rounded to 4 significant figures;
The upper bound would be $23.835$. (This is because every single number less than $23.835$ will round to $23.83$)
The lower bound would be $23.825$. (This is because every single number after $23.825$ inclusive will round to $23.83$)
Hence, the range is $23.825$ to $23.835$.