First, the function, for those who just want some copy-and-paste code:

def truncate(f, n):
    '''Truncates/pads a float f to n decimal places without rounding'''
    s = '{}'.format(f)
    if 'e' in s or 'E' in s:
        return '{0:.{1}f}'.format(f, n)
    i, p, d = s.partition('.')
    return '.'.join([i, (d+'0'*n)[:n]])

This is valid in Python 2.7 and 3.1+. For older versions, it's not possible to get the same "intelligent rounding" effect (at least, not without a lot of complicated code), but rounding to 12 decimal places before truncation will work much of the time:

def truncate(f, n):
    '''Truncates/pads a float f to n decimal places without rounding'''
    s = '%.12f' % f
    i, p, d = s.partition('.')
    return '.'.join([i, (d+'0'*n)[:n]])

Explanation

The core of the underlying method is to convert the value to a string at full precision and then just chop off everything beyond the desired number of characters. The latter step is easy; it can be done either with string manipulation

i, p, d = s.partition('.')
'.'.join([i, (d+'0'*n)[:n]])

or the decimal module

str(Decimal(s).quantize(Decimal((0, (1,), -n)), rounding=ROUND_DOWN))

The first step, converting to a string, is quite difficult because there are some pairs of floating point literals (i.e. what you write in the source code) which both produce the same binary representation and yet should be truncated differently. For example, consider 0.3 and 0.29999999999999998. If you write 0.3 in a Python program, the compiler encodes it using the IEEE floating-point format into the sequence of bits (assuming a 64-bit float)

0011111111010011001100110011001100110011001100110011001100110011

This is the closest value to 0.3 that can accurately be represented as an IEEE float. But if you write 0.29999999999999998 in a Python program, the compiler translates it into exactly the same value. In one case, you meant it to be truncated (to one digit) as 0.3, whereas in the other case you meant it to be truncated as 0.2, but Python can only give one answer. This is a fundamental limitation of Python, or indeed any programming language without lazy evaluation. The truncation function only has access to the binary value stored in the computer's memory, not the string you actually typed into the source code.1

If you decode the sequence of bits back into a decimal number, again using the IEEE 64-bit floating-point format, you get

0.2999999999999999888977697537484345957637...

so a naive implementation would come up with 0.2 even though that's probably not what you want. For more on floating-point representation error, see the Python tutorial.

It's very rare to be working with a floating-point value that is so close to a round number and yet is intentionally not equal to that round number. So when truncating, it probably makes sense to choose the "nicest" decimal representation out of all that could correspond to the value in memory. Python 2.7 and up (but not 3.0) includes a sophisticated algorithm to do just that, which we can access through the default string formatting operation.

'{}'.format(f)

The only caveat is that this acts like a g format specification, in the sense that it uses exponential notation (1.23e+4) if the number is large or small enough. So the method has to catch this case and handle it differently. There are a few cases where using an f format specification instead causes a problem, such as trying to truncate 3e-10 to 28 digits of precision (it produces 0.0000000002999999999999999980), and I'm not yet sure how best to handle those.

If you actually are working with floats that are very close to round numbers but intentionally not equal to them (like 0.29999999999999998 or 99.959999999999994), this will produce some false positives, i.e. it'll round numbers that you didn't want rounded. In that case the solution is to specify a fixed precision.

'{0:.{1}f}'.format(f, sys.float_info.dig + n + 2)

The number of digits of precision to use here doesn't really matter, it only needs to be large enough to ensure that any rounding performed in the string conversion doesn't "bump up" the value to its nice decimal representation. I think sys.float_info.dig + n + 2 may be enough in all cases, but if not that 2 might have to be increased, and it doesn't hurt to do so.

In earlier versions of Python (up to 2.6, or 3.0), the floating point number formatting was a lot more crude, and would regularly produce things like

>>> 1.1
1.1000000000000001

If this is your situation, if you do want to use "nice" decimal representations for truncation, all you can do (as far as I know) is pick some number of digits, less than the full precision representable by a float, and round the number to that many digits before truncating it. A typical choice is 12,

'%.12f' % f

but you can adjust this to suit the numbers you're using.


1Well... I lied. Technically, you can instruct Python to re-parse its own source code and extract the part corresponding to the first argument you pass to the truncation function. If that argument is a floating-point literal, you can just cut it off a certain number of places after the decimal point and return that. However this strategy doesn't work if the argument is a variable, which makes it fairly useless. The following is presented for entertainment value only:

def trunc_introspect(f, n):
    '''Truncates/pads the float f to n decimal places by looking at the caller's source code'''
    current_frame = None
    caller_frame = None
    s = inspect.stack()
    try:
        current_frame = s[0]
        caller_frame = s[1]
        gen = tokenize.tokenize(io.BytesIO(caller_frame[4][caller_frame[5]].encode('utf-8')).readline)
        for token_type, token_string, _, _, _ in gen:
            if token_type == tokenize.NAME and token_string == current_frame[3]:
                next(gen) # left parenthesis
                token_type, token_string, _, _, _ = next(gen) # float literal
                if token_type == tokenize.NUMBER:
                    try:
                        cut_point = token_string.index('.') + n + 1
                    except ValueError: # no decimal in string
                        return token_string + '.' + '0' * n
                    else:
                        if len(token_string) < cut_point:
                            token_string += '0' * (cut_point - len(token_string))
                        return token_string[:cut_point]
                else:
                    raise ValueError('Unable to find floating-point literal (this probably means you called {} with a variable)'.format(current_frame[3]))
                break
    finally:
        del s, current_frame, caller_frame

Generalizing this to handle the case where you pass in a variable seems like a lost cause, since you'd have to trace backwards through the program's execution until you find the floating-point literal which gave the variable its value. If there even is one. Most variables will be initialized from user input or mathematical expressions, in which case the binary representation is all there is.

Answer from David Z on Stack Overflow
Top answer
1 of 4
165

First, the function, for those who just want some copy-and-paste code:

def truncate(f, n):
    '''Truncates/pads a float f to n decimal places without rounding'''
    s = '{}'.format(f)
    if 'e' in s or 'E' in s:
        return '{0:.{1}f}'.format(f, n)
    i, p, d = s.partition('.')
    return '.'.join([i, (d+'0'*n)[:n]])

This is valid in Python 2.7 and 3.1+. For older versions, it's not possible to get the same "intelligent rounding" effect (at least, not without a lot of complicated code), but rounding to 12 decimal places before truncation will work much of the time:

def truncate(f, n):
    '''Truncates/pads a float f to n decimal places without rounding'''
    s = '%.12f' % f
    i, p, d = s.partition('.')
    return '.'.join([i, (d+'0'*n)[:n]])

Explanation

The core of the underlying method is to convert the value to a string at full precision and then just chop off everything beyond the desired number of characters. The latter step is easy; it can be done either with string manipulation

i, p, d = s.partition('.')
'.'.join([i, (d+'0'*n)[:n]])

or the decimal module

str(Decimal(s).quantize(Decimal((0, (1,), -n)), rounding=ROUND_DOWN))

The first step, converting to a string, is quite difficult because there are some pairs of floating point literals (i.e. what you write in the source code) which both produce the same binary representation and yet should be truncated differently. For example, consider 0.3 and 0.29999999999999998. If you write 0.3 in a Python program, the compiler encodes it using the IEEE floating-point format into the sequence of bits (assuming a 64-bit float)

0011111111010011001100110011001100110011001100110011001100110011

This is the closest value to 0.3 that can accurately be represented as an IEEE float. But if you write 0.29999999999999998 in a Python program, the compiler translates it into exactly the same value. In one case, you meant it to be truncated (to one digit) as 0.3, whereas in the other case you meant it to be truncated as 0.2, but Python can only give one answer. This is a fundamental limitation of Python, or indeed any programming language without lazy evaluation. The truncation function only has access to the binary value stored in the computer's memory, not the string you actually typed into the source code.1

If you decode the sequence of bits back into a decimal number, again using the IEEE 64-bit floating-point format, you get

0.2999999999999999888977697537484345957637...

so a naive implementation would come up with 0.2 even though that's probably not what you want. For more on floating-point representation error, see the Python tutorial.

It's very rare to be working with a floating-point value that is so close to a round number and yet is intentionally not equal to that round number. So when truncating, it probably makes sense to choose the "nicest" decimal representation out of all that could correspond to the value in memory. Python 2.7 and up (but not 3.0) includes a sophisticated algorithm to do just that, which we can access through the default string formatting operation.

'{}'.format(f)

The only caveat is that this acts like a g format specification, in the sense that it uses exponential notation (1.23e+4) if the number is large or small enough. So the method has to catch this case and handle it differently. There are a few cases where using an f format specification instead causes a problem, such as trying to truncate 3e-10 to 28 digits of precision (it produces 0.0000000002999999999999999980), and I'm not yet sure how best to handle those.

If you actually are working with floats that are very close to round numbers but intentionally not equal to them (like 0.29999999999999998 or 99.959999999999994), this will produce some false positives, i.e. it'll round numbers that you didn't want rounded. In that case the solution is to specify a fixed precision.

'{0:.{1}f}'.format(f, sys.float_info.dig + n + 2)

The number of digits of precision to use here doesn't really matter, it only needs to be large enough to ensure that any rounding performed in the string conversion doesn't "bump up" the value to its nice decimal representation. I think sys.float_info.dig + n + 2 may be enough in all cases, but if not that 2 might have to be increased, and it doesn't hurt to do so.

In earlier versions of Python (up to 2.6, or 3.0), the floating point number formatting was a lot more crude, and would regularly produce things like

>>> 1.1
1.1000000000000001

If this is your situation, if you do want to use "nice" decimal representations for truncation, all you can do (as far as I know) is pick some number of digits, less than the full precision representable by a float, and round the number to that many digits before truncating it. A typical choice is 12,

'%.12f' % f

but you can adjust this to suit the numbers you're using.


1Well... I lied. Technically, you can instruct Python to re-parse its own source code and extract the part corresponding to the first argument you pass to the truncation function. If that argument is a floating-point literal, you can just cut it off a certain number of places after the decimal point and return that. However this strategy doesn't work if the argument is a variable, which makes it fairly useless. The following is presented for entertainment value only:

def trunc_introspect(f, n):
    '''Truncates/pads the float f to n decimal places by looking at the caller's source code'''
    current_frame = None
    caller_frame = None
    s = inspect.stack()
    try:
        current_frame = s[0]
        caller_frame = s[1]
        gen = tokenize.tokenize(io.BytesIO(caller_frame[4][caller_frame[5]].encode('utf-8')).readline)
        for token_type, token_string, _, _, _ in gen:
            if token_type == tokenize.NAME and token_string == current_frame[3]:
                next(gen) # left parenthesis
                token_type, token_string, _, _, _ = next(gen) # float literal
                if token_type == tokenize.NUMBER:
                    try:
                        cut_point = token_string.index('.') + n + 1
                    except ValueError: # no decimal in string
                        return token_string + '.' + '0' * n
                    else:
                        if len(token_string) < cut_point:
                            token_string += '0' * (cut_point - len(token_string))
                        return token_string[:cut_point]
                else:
                    raise ValueError('Unable to find floating-point literal (this probably means you called {} with a variable)'.format(current_frame[3]))
                break
    finally:
        del s, current_frame, caller_frame

Generalizing this to handle the case where you pass in a variable seems like a lost cause, since you'd have to trace backwards through the program's execution until you find the floating-point literal which gave the variable its value. If there even is one. Most variables will be initialized from user input or mathematical expressions, in which case the binary representation is all there is.

2 of 4
160
round(1.923328437452, 3)

See Python's documentation on the standard types. You'll need to scroll down a bit to get to the round function. Essentially the second number says how many decimal places to round it to.

🌐
datagy
datagy.io › home › python posts › python strings › python: truncate a float (6 different ways)
Python: Truncate a Float (6 Different Ways) • datagy
April 14, 2024 - Learn how to use Python to truncate a float using the int function, math library, string functions, f-strings, and truncate lists of numbers.
🌐
Reddit
reddit.com › r/learnpython › how to truncate a float?
r/learnpython on Reddit: How to truncate a float?
July 1, 2022 -

I have a case where I need to truncate a float to the first decimal place. Very important - truncate, not round.

I wrote this function

def trunc(num : float, precision :int = 1):
    return float(str(num)[0:precision+2])

which works most of the time, but if the number is particularly small, str(num) will return the scientific notation. So str(0.000094) returns 9.4e-05 which in turn means that str(0.000094)[0:3] returns 9.4.

For now I can np.trunc(num*10)/10 but I'm wondering if there's a better way.

🌐
Delft Stack
delftstack.com › home › howto › python › python truncate float python
How to Truncate Float in Python | Delft Stack
February 2, 2024 - This code’s truncate function ... places (n). It does this by converting the number to a string, searching for the decimal point, and then returning a new float with the desired precision....
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Quora
quora.com › How-do-you-truncate-to-2-decimal-places-in-Python
How to truncate to 2 decimal places in Python - Quora
Answer (1 of 2): There are two ways to perform this. Method 1: Using “%” operator Syntax: float(“%.2f”%number) Explanation: The number 2 in above syntax represents the number of decimal places you want the value to round off too. Method 2: Using round() function Syntax: round(number,2) ...
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TradingCode
tradingcode.net › python › math › truncate-decimals
Truncate numbers to decimal places in Python • TradingCode
With Python’s math.trunc() function we truncate floating-point values into whole numbers (Python Docs, n.d.). That turns 4.578 into 4 and makes -2.9 into -2.
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pythoncodelab
pythoncodelab.com › home › how to truncate decimals in python
How to truncate decimals in Python - pythoncodelab
February 8, 2025 - One of the simplest ways to truncate a decimal number in Python is by using the built-in int() function. This function converts a float to an integer by removing the decimal part, effectively truncating the number.
Find elsewhere
🌐
W3Schools
w3schools.com › python › ref_math_trunc.asp
Python math.trunc() Method
Python Examples Python Compiler Python Exercises Python Quiz Python Challenges Python Practice Problems Python Server Python Syllabus Python Study Plan Python Interview Q&A Python Training ... # Import math Library import math # Return the truncated integer parts of different numbers print(math.trunc(2.77)) print(math.trunc(8.32)) print(math.trunc(-99.29)) Try it Yourself »
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LabEx
labex.io › tutorials › python-how-to-truncate-float-digits-438185
How to truncate float digits | LabEx
## Demonstrating float comparison a = 0.1 + 0.2 b = 0.3 ## Direct comparison can be unreliable print(a == b) ## Outputs: False ## Recommended approach import math print(math.isclose(a, b)) ## Outputs: True · At LabEx, we emphasize understanding these fundamental concepts to write more robust Python code. ## Simple truncation number = 3.7456 truncated = int(number) print(truncated) ## Outputs: 3
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LabEx
labex.io › tutorials › python-how-to-truncate-floating-point-output-465841
How to truncate floating point output | LabEx
The simplest method to truncate floating-point numbers is the int() function. ## Truncating with int() number = 3.7 truncated = int(number) print(truncated) ## Outputs 3 · Python's math module provides more precise truncation methods.
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CodeSpeedy
codespeedy.com › home › how to truncate a float in python
How to Truncate a Float in Python - CodeSpeedy
February 22, 2022 - We can also use the int() function to truncate a float in python. The syntax is mostly the same as discussed for the math library. The int() function truncate a float in python as it takes float value and converts it into an integer.
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TradingCode
tradingcode.net › python › math › truncate-integers
How to truncate Python numbers to integers? • TradingCode
Python has two ways to truncate values. The first is with the math.trunc() function. This function accepts one argument: the value to truncate. It then returns that value as a whole number.
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TestMu AI Community
community.testmuai.com › ask a question
How can I truncate float values in Python? - Ask a Question - TestMu AI (formerly LambdaTest) Community
January 16, 2025 - I want to remove digits from a float to keep a fixed number of digits after the decimal point, without rounding them. For example, I want: 1.923328437452 → 1.923 I need the result as a string to pass to another functio…
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Stack Abuse
stackabuse.com › bytes › limiting-float-decimal-points-in-python
Limiting Float Decimal Points in Python
August 31, 2023 - To achieve the truncation, we multiply the float by 100, convert it to an integer to remove the excess decimal points, and then divide it by 100 to get the truncated value. In this Byte, we explored different ways to limit a float's decimal points in Python using the round(), format(), and ...
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CodeRivers
coderivers.org › blog › python-truncate-float
Python Truncate Float: A Comprehensive Guide - CodeRivers
February 22, 2026 - In Python, working with floating - point numbers is a common task. However, there are often situations where you need to limit the number of digits after the decimal point or perform truncation. Truncating a float in Python can be achieved through various methods, each with its own characteristics and use cases.
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Python.org
discuss.python.org › python help
Built-in Types ... INT: round or truncate ? please elaborate - Python Help - Discussions on Python.org
March 14, 2023 - Hello, I’m questioning about: Built-in Types - Numeric Types - int[…] - note(3) edit:link irrc in PY2 it said: Conversion from floats using int() truncates toward zero like the related function, math.trunc(). […] now it says (note 3.): Conversion from floating point to integer may round ...
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Tutor Python
tutorpython.com › math-trunc-python
math.trunc Python | Math Trunc Method - Tutor Python
October 19, 2023 - The math.trunc() method in Python provides a convenient way to truncate the fractional or decimal part of floating-point numbers and extract their integer component.