# Python round down to nearest 10

With math. A number has a fractional part. For example 1. With round we can round it to 1 or 1. To always round up, please consider the math. And to always round down, use math. But to retain a fractional part, round is helpful. Round example. This receives one or two arguments. The second argument is optional. Round returns a rounded number—we use it in an assignment.

Argument 1: This is the number we want to round. For this example, we are rounding the number 1. Argument 2: This tells how many numbers past the decimal point to keep.

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The final number is rounded up if the next digit is 5 or more. This rounds up or down depending on the last digit. Round up, down. Let us consider this program. We use math.

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Round cannot do this—it will round up or down depending on the fractional value. Ceil: This will always round up.Using a computer in order to do rather complex Math is one of the reasons this machine was originally developed. As long as integer numbers and additions, subtractions, and multiplications are exclusively involved in the calculations, everything is fine. As soon as floating point numbers or fractions, as well as divisions, come into play it enormously complicates the whole matter.

As a regular user, we are not fully aware of these issues that happen behind the scenes and may end up with rather surprising, and possibly inaccurate results for our calculations.

As developers, we have to ensure that appropriate measures are taken into account in order to instruct the computer to work in the right way. In our daily life we use the decimal system that is based on the number The computer uses the binary system, which is base 2, and internally it stores and processes the values as a sequence of 1s and 0s.

The values we work with have to be constantly transformed between the two representations. As explained in Python's documentation :. A consequence is that, in general, the decimal floating-point numbers you enter are only approximated by the binary floating-point numbers actually stored in the machine. Listing 2 shows a similar case for formatting a floating point number for 17 decimal places.

As you may have learned from the examples above, dealing with floating point numbers is a bit tricky, and requires additional measures in order to achieve the correct result, and to minimize computing errors.

Rounding the value can solve at least some of the problems. One possibility is the built-in round function for more details regarding its usage see below :. As an alternative, you can work with the math moduleor explicitly work with fractions stored as two values numerator and denominator instead of the rounded, rather inexact floating point values.

In order to store the values like that the two Python modules decimal and fraction come into play see examples below. But first, let us have a closer look at the term "rounding". Basically, it adds inaccuracy to a precisely calculated value by shortening it. In most cases this is done by removing digits after the decimal point, for example from 3. Such a reduction is done for several reasons - for example, saving space when storing the value, or simply for removing unused digits.

Furthermore, output devices such as analogue displays or clocks can show the computed value with only a limited precision, and require adjusted input data.

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In general, two rather simple rules are applied for rounding, you may remember them from school. The digits 0 to 4 lead to rounding down, and the numbers 5 to 9 lead to rounding up. The table below shows a selection of use cases. Mathematicians have developed a variety of different rounding methods in order to address the problem of rounding. This includes simple truncation, rounding up, rounding down, rounding half-up, rounding half-down, as well as rounding half away from zero and rounding half to even.

As an example, rounding half away from zero is applied by the European Commission on Economical and Financial Affairs when converting currencies to the Euro.

Several countries, such as Sweden, The Netherlands, New Zealand, and South Africa follow the rule named "cash rounding", "penny rounding", or "Swedish rounding". The amount payable for a cash transaction is rounded to the nearest multiple of the minimum currency unit available, whereas transactions paid in other ways are not rounded.

In South Africa, since cash rounding is done to the nearest 5 cents. In general, this kind of rounding does not apply to electronic non-cash payments. In contrast, rounding half to even is the default strategy for Python, Numpyand Pandasand is in use by the built-in round function that was already mentioned before. It belongs to the category of the round-to-nearest methods, and is also known as convergent rounding, statistician's rounding, Dutch rounding, Gaussian rounding, odd—even rounding, and bankers' rounding.

This method is defined in IEEE and works in such a way, that "if the fractional part of x is 0. Although not fully perfect this strategy leads to appreciable results. Python comes with the built-in function round that is quite useful in our case. It accepts two parameters - the original value, and the number of digits after the decimal point. The listing below illustrates the usage of the method for one, two, and four digits after the decimal point.

If you call this function without the second parameter the value is rounded to a full integer value.

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Rounded values work fine in case you do not require absolutely precise results.But in real life you might be facing similar situation where you have a stack of numbers that require to be rounded either to nearest dollar or nearest 10 or So how would you do it in Excel? Yes you read it right. To quickly understand and compare the output of all three functions I have arranged the data as follows:. Now in cell B10 you can type in the number to make the rounding as you desire.

Remember the number you use will affect the rounding process and nature:. But while writing the formula directly you have to provide something to make the formula work. So here you have an extra dose on Excel and Rounding together. Just remember that you can use negative numbers in ROUND functions and it gets you nearest of 10 or or or whatever you fancy.

Ramesh — For a specific answer you need to reword the question more clearly next number after 15 is???? I have an amount ex. Is there a function for that? Save my name, email, and website in this browser for the next time I comment. Share Pin Actual vs Target Variance Charts in Excel with floating bars. Thank you. Great explanation. I love that formula. Please enter your comment! Please enter your name here.

You have entered an incorrect email address!Python round function is used to perform rounding operation on numbers. The number is rounded to ndigits precision after the decimal point. While rounding the input number to an integer, if both round up and round down values are equally close then even number is returned. For example, When rounding is applied on floating point numbersthe result can be sometimes surprising. Python does the approximation and presents us the rounded value, because of this floating point arithmetic can sometimes result in surprising values.

Search in title. Search in content. Search in excerpt. Search in posts. Search in pages. I am a Software Developer just like you and hate spamming. No Spam Guaranteed! Thanks for subscribing! Please check your email for further instructions.Depending on the scenario, you may use either of the 4 methods below in order to round values in pandas DataFrame:.

Suppose that you have a dataset which contains the following values with varying-length decimal places :. You can then create a DataFrame to capture those values in Python:.

Recall that the first method to round to specific decimals places for a single DataFrame column is:. Alternatively, you could also use numpy to round the values to 3 decimals places for a single DataFrame column :.

You can then use the fourth method to round the values for the entire DataFrame for all the columns that contain numeric values :. Depending on the scenario, you may use either of the 4 methods below in order to round values in pandas DataFrame: 1 R ound to specific decimal places — Single DataFrame column df['DataFrame column']. Methods to Round Values in Pandas DataFrame Method 1: Round to specific decimal places — Single DataFrame column Suppose that you have a dataset which contains the following values with varying-length decimal places : Value 5.

Recall that the first method to round to specific decimals places for a single DataFrame column is: df['DataFrame Column']. To accomplish this goal, you can use the second method to round up values: df['DataFrame Column']. To accomplish this goal, you can use the fourth method below. You can then use the fourth method to round the values for the entire DataFrame for all the columns that contain numeric values : df.By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

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As the title suggests, I want to take a floating point number and round it down to the nearest integer. Is there a way to do this? Since dividing by 1 doesn't change your number, this is equivalent to floor but no import is needed. If OP's result is:. This is not a big deal if you are sure you will never come across such thing. But it's something to keep in mind. If you working with numpy, you can use the following solution which also works with negative numbers it's also working on arrays. I think it will also work if you just use the math module instead of numpy module.

Don't know if you solved this, but I just stumble upon this question. If you want to get rid of decimal points, you could use int x and it will eliminate all decimal digits. Theres no need to use round x. Just make round x I used this code where you subtract 0. Learn more.

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## Rounding to nearest 1, 10 or 100 in Excel – How To

Active 3 months ago. Viewed k times. Anthony Perez Anthony Perez 1, 2 2 gold badges 8 8 silver badges 5 5 bronze badges. A possible difficulty is that IEEE floating point formats can represent numbers so large that the grandularity is larger than 1.

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Please post some examples. Active Oldest Votes. Simple print int x will work as well. Makaveli Makaveli 1, 2 2 gold badges 11 11 silver badges 15 15 bronze badges. HelinWang That's exactly what OP asked for. This seems like the most Pythonic approach. This works well for positive numbers, but negative numbers will be rounded up: int One of these should work: import math math.

The output from math.Posted by: admin November 27, Leave a comment. If the number is 1. Multiply your rating by 2, then round using Math. Round rating, MidpointRounding. AwayFromZerothen divide that value by 2.

Sounds like you need to round to the nearest 0. There are several options. If performance is a concern, test them to see which works fastest in a large loop. I had difficulty with this problem as well.

I code mainly in Actionscript 3. Thats pretty much it. February 21, c Leave a comment. Questions: Closed. This question needs to be more focused.

It is not currently accepting answers. Want to improve this question? Update the question so it focuses on one problem only by editing this p Questions: I really enjoy using the aggregate functions that C provides such as.

## Round a number down to nearest multiple

Anybut I struggle to understand what my options are just looking from the method signature: Can someone help me be Your email address will not be published. Save my name, email, and website in this browser for the next time I comment. Add menu. How do I round to the nearest 0.