In this tutorial I’ll explain how to use the Numpy round function (AKA, np.round).

I’ll explain how the function works, and I’ll also show you some step-by-step examples of how to use it.

**Table of Contents:**

You can click on any of the above links and it will take you to the appropriate section of the tutorial.

That said, you’re relatively new to Numpy, you might want to read the whole tutorial.

## A quick introduction to Numpy Round

Let’s start off with a quick explanation of what the Numpy round function is and what it does.

Numpy round is a function that’s included in the Numpy module for the Python programming language.

Numpy is a module for working with numeric data. Specifically, Numpy works with data organized into a structure called a Numpy array.

A Numpy array has a row-and-column structure, and is filled with numeric data. Here’s an example of a 2-dimensional Numpy array.

So Numpy has a variety of functions for *creating* these arrays of Numeric data (like Numpy arange, Numpy ones, Numpy randint, etc)

… but it also has a variety of functions for *manipulating* these numeric arrays.

### Numpy Round is a Math Function for Numpy

Numpy Round is one of the Numpy functions that we use to manipulate Numpy arrays.

The Numpy module has a variety of data manipulation functions.

Some of these functions (like Numpy reshape or Numpy concatenate) deal with reshaping arrays or combining Numpy arrays.

But many Numpy functions perform mathematical operations on Numpy arrays. So we have functions for summing Numpy arrays, calculating exponents on array values, and more.

The Numpy round function is one of these mathematical functions.

### Numpy Round Rounds the Numbers in a Numpy Array

A little more specifically: Numpy round rounds numbers.

It can do this with single input numbers like this:

When it operates on a single input value, Numpy round rounds the number to the nearest integer value.

### Numpy Round Rounds Values of Numpy Arrays, Element Wise

Although we can use np.round on single values, you can also use Numpy round on arrays of numbers.

For example, you could use Numpy round on a 1-dimensional array of numbers. When you do this, Numpy will apply the np.round() function to every element of the array.

In other words, it will round all of the numbers, and the output will be a new Numpy array of the same shape that contains the rounded numbers.

## The Syntax of np.round

Now that we’ve looked at what Numpy round does at a high level, let’s take a look at the syntax.

#### A quick note

One quick note before we get started.

Before we use Numpy, we need to import the Numpy package.

How exactly we import Numpy will change the exact form of the syntax.

Among data scientists, the common convention is to import Numpy as “`np`

“, like this:

import numpy as np

When we import Numpy like this, we’ll be able to use `np`

as a prefix when we call our Numpy functions.

As I said, this is the common convention among most Python users, and we’ll use it in this tutorial.

### np.round syntax

Ok. The syntax for the round function is fairly simple.

We call the function as np.round().

Then, inside the parenthesis, we provide an input.

This input can be a single number (i.e., a Python float) or a Numpy array.

Having said that, let’s take a closer look at the input parameters as well as the output.

#### The Parameters of np.round

The np.round function has two major input parameters, `a`

and `decimals`

.

Additionally, there is one other parameter called `out`

, which is somewhat less commonly used.

Let’s quickly take a look at those.

##### a [required]

The `a`

parameter enables you to specify the input value or values to the function.

As you’ll see in the examples section, the input value that you provide can be a single number (i.e., a `float`

) or a Numpy array. It can also be an array-like object like a Python list.

This is required, in the sense that you need to provide an input to the function.

Having said that, when you use this, you do not need to explicitly type the parameter as `a=`

. Python knows that you’re passing an argument to this parameter by position.

##### decimals

The `decimals`

parameter enables you to specify the number of decimals places that will be used when the input numbers are rounded.

By default, this parameter is set to `decimals = 0`

(i.e., the number is rounded to the nearest integer value).

Technically, you can also specify a negative value for `decimals`

. If you do this, it will control the number of positions to the left of the decimal point to which to round the numbers.

##### out

The `out`

parameter enables you to specify an output array in which to store the output of the function.

This is somewhat rarely used, so we’re not going to cover this in the examples.

#### The Output of np.round

The output of np.round is a Numpy array with the same shape as the input. The output will contain the rounded values of the input.

Keep in mind that np.round does *not* change the original array by default. The output is a new array that will be sent to the console (if you’re working in an IDE) or that can be stored with a specific name using the `=`

sign.

## Examples of how to use Numpy Round

Ok. Now that we’ve looked at the syntax, let’s look at some examples of Numpy round.

You can click on any of the following links, and it will take you to the appropriate example.

**Examples:**

- Round a value downward [example 1]
- Round 1.5 to nearest integer [example 2]
- Use np.round to round 2.5 to nearest integer [example 3]
- Use np.round on a negative number [example 4]
- Round a number to a specific decimal place [example 5]
- Round the values of a Numpy array [example 6]

#### Run this code first

One thing before you run any of the examples.

Before you run the example code, you need to import Numpy properly. You can import Numpy by running the following:

import numpy as np

This will allow us to call Numpy round with the prefix `np`

.

### EXAMPLE 1: Round a value downward

Ok, let’s start simple.

Here, we’re going to round a single floating point number (a decimal value).

np.round(1.1)

OUT:

1.0

###### Explanation:

This is really straight forward. Here, we’re calling np.round on the value 1.1.

It’s simply rounding the number to the nearest integer value, which is 1.0.

Note that any input with a decimal value less than .5 will round down to the nearest integer value. So 1.2, 1.3, and 1.4 will all round down to 1.0, just like this example here.

But keep in mind, even though it’s rounding to the nearest integer value, the data type of the output is actually a `float`

.

This is a subtle point, but it might be important!

### EXAMPLE 2: Round 1.5 to nearest integer

Just to make things clear, let’s round another single value.

In the previous example, we rounded the value 1.1, which rounded down to 1.0.

Now, let’s input a value that will round upward.

np.round(1.5)

OUT:

2.0

###### Explanation:

Here, we’re rounding the value 1.5, which rounds upward to 2.0.

Keep in mind that when you round a value that’s exactly halfway between between two values, np.round will round to the nearest *even* value.

### EXAMPLE 3: Round 2.5 to nearest integer

In the last example, I noted that values that are exactly halfway between two values will be rounded to the nearest even value. So in the last example. 1.5 rounded upward to 2.0.

Here, let’s round 2.5.

np.round(2.5)

OUT:

2.0

###### Explanation:

Here, we’re rounding the value 2.5, which rounds *downward* to 2.0.

Again, when you round a value that’s exactly halfway between between two values, np.round will round to the nearest *even* value.

### EXAMPLE 4: Round a negative number

Things get slightly more complicated when we work with negative numbers, but it’s intuitive once you understand the principle at work.

Let’s take a look at the code, and then I’ll explain.

np.round(-1.333)

OUT:

-1.0

###### Explanation:

Here, np.round rounded to -1.0. Why?

Whenever we use np.round, the function will round the input to *the nearest integer value*.

In this case, the nearest integer is -1.0.

This is really simple if you just remember that Numpy round rounds to the nearest integer.

### EXAMPLE 5: Round a number to a specific decimal place

Next, we’ll round a number to a specific decimal place.

Specifically, we’ll round the number `e`

(Euler’s number) to 3 decimal places.

np.round(np.e, decimals = 3)

OUT:

2.718

###### Explanation:

In Numpy, the value of the constant `np.e`

is 2.718281828459045.

When we use np.round with `decimals = 3`

, the function rounds the input value to 3 decimal places, which in this case is 2.718.

### EXAMPLE 6: Round the values of a Numpy array

Let’s do one more example.

Here, we’ll round the values of a Numpy array.

###### Create 2D array

To do this, we’ll create a Numpy array with floating point Numbers using the Numpy random uniform function. Numpy random uniform generates floating point numbers randomly from a uniform distribution in a specific range. Here, we’ll draw 6 numbers from the range -10 to 10, and we’ll reshape that array into a 2×3 array using the Numpy reshape method. (Note that we’re also using Numpy random seed to set the seed for the random number generator.)

#CREATE 2D ARRAY np.random.seed(2) floats_2d = np.random.uniform(size = 6, low = -10, high = 10).reshape((2,3))

And let’s take a look at the numbers in the array:

print(floats_2d)

OUT:

[[-1.28010196 -9.48147536 0.99324956] [-1.29355215 -1.59264396 -3.39330358]]

So `floats_2d`

contains 6 decimal numbers between -10 and 10, arranged into a Numpy array with 2 rows and 3 columns.

###### Round Numbers in Array

Now, let’s round the numbers.

np.round(floats_2d)

OUT:

array([[-1., -9., 1.], [-1., -2., -3.]])

###### Explanation

Here, np.round simply rounded all of the numbers of the input array to the nearest integer.

Notice a few things.

First, the output array has the exact same shape as the input array.

Second, all of the rounded values in the output have the `float`

data type. So even though the inputs have been rounded to the nearest integer value, they’re actually being reported as floating point numbers.

##### Leave your other questions in the comments below

Do you have other questions about Numpy round?

Leave your questions in the comments section below.

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