HSS - 4 years ago 120
Python Question

# How to round off a floating number?

Suppose I am having 8.8333333333333339 and I want to convert it to 8.84, how can I accomplish this in python ? round(8.8333333333333339 , 2) gives 8.8300000000000001 and not 8.84. I am new to python or programming in general.

I don't want to print it as a string, the result will be further used. For more information on the problem please check this link http://openbookproject.net/pybiblio/practice/wilson/loan.php

`8.833333333339` (or `8.833333333333334`, the result of `106.00/12`) properly rounded to two decimal places is `8.83`. Mathematically it sounds like what you want is a ceiling function. The one in Python's `math` module is named `ceil`:

``````import math

v = 8.8333333333333339
print(math.ceil(v*100)/100)  # -> 8.84
``````

Respectively, the floor and ceiling functions generally map a real number to the largest previous or smallest following integer which has zero decimal places — so to use them for 2 decimal places the number is first multiplied by 102 (or 100) to shift the decimal point and is then divided by it afterwards to compensate.

If you don't want to use the `math` module for some reason, you can use this (minimally tested) implementation I just wrote:

``````def ceiling(x):
n = int(x)
return n if n-1 < x <= n else n+1
``````

### How this applies to the linked loan and payment calculator problem

From the sample output it appears that they rounded up the monthly payment, which is what some call the effect of the ceiling function. This means that each month a little more than 112 of the total amount is being paid. That made the final payment a little smaller than usual — leaving a remaining unpaid balance of only `8.76`.

It would have been equally valid to use normal rounding producing a monthly payment of `8.83` and a slightly higher final payment of `8.87`. However, in the real world people generally don't like to have their payments go up, so rounding up each payment is the common practice — it also returns the money to the lender more quickly.

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