We have two rules in case of rounding off digits,
Rule 1:
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.
Rule 2:
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
We are given the number 13_,644 which rounds off to 130,000.
Now as we can see the number is rounded down, so we can apply rule number 2 here.
If we place the digit 0, 1, 2, 3 or 4 then the number will round off to 130,000.
Answer: The possible digits that can go in thousands place are 0, 1, 2, 3 or 4.
