Arrange the following decimal numbers in the ascending order.
`0.52314,0.52313,0.53201` and `0.52321`

Answer

To arrange the decimal numbers `0.52314`, `0.52313`, `0.53201`, and `0.52321` in ascending order, we will compare each number step by step.

### Step-by-Step Solution:

1. **List the Numbers**: Write down the numbers we need to compare:
- `0.52314`
- `0.52313`
- `0.53201`
- `0.52321`

2. **Compare the Whole Numbers**: Since all numbers are less than 1, we can ignore the whole number part (which is 0) and focus on the decimal parts.

3. **Compare the First Decimal Place**: Look at the first digit after the decimal point:
- All numbers have `5` in the first decimal place. So, we move to the next decimal place.

4. **Compare the Second Decimal Place**: Now, look at the second digit after the decimal point:
- `0.52314` has `2`
- `0.52313` has `2`
- `0.53201` has `3`
- `0.52321` has `2`
- Here, `2` is the smallest, followed by `3`. So, we need to look further into the next decimal places for those with `2`.

5. **Compare the Third Decimal Place**: Now, we compare the third digit after the decimal point for the numbers with `2`:
- `0.52314` has `3`
- `0.52313` has `3`
- `0.52321` has `3`
- Since all three have `3`, we move to the next decimal place.

6. **Compare the Fourth Decimal Place**: Now compare the fourth digit after the decimal point:
- `0.52314` has `4`
- `0.52313` has `3`
- `0.52321` has `2`
- Here, `0.52313` is the smallest because `3` is less than `4` and `2`.

7. **Arrange the Numbers**: Now that we have compared all the decimal places, we can arrange the numbers in ascending order:
- `0.52313` (smallest)
- `0.52314`
- `0.52321`
- `0.53201` (largest)

### Final Ascending Order:
- `0.52313 < 0.52314 < 0.52321 < 0.53201`