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In this article, we will tackle the different ways to round numbers in MATLAB. To sum up, you can round down, up, to the nearest integer, and to X decimal places using the floor, ceil, fix, and round MATLAB functions. More specifically, you’ll learn to:

- Round to the nearest Integer using the
**round**function - Round down using the
**floor**and**fix**functions - Round up using the
**ceil**function - Round to X decimal places

## Round to the Nearest Integer: Round Function

**Round to the nearest integer for positive and negative values:**if you want to round a number to its nearest integer value in MATLAB, you need to use the**round**function. In short, this will round to the nearest integer for negative and positive values.**Round function example:**if you take the number 4.3,**round**will output 4, but if you use the number 4.6, the round function will output 5.

Moreover, for values that are as near to their above value as to their below value, it will round toward the furthest integer value from zero:

## Round Down in MATLAB: Floor and Fix

Above all, if you want to round down, there are two ways of doing so, depending on your goals.

**Round down for positive and negative values:**first, if you want to round down for a positive and a negative number, you can use the MATLAB function**floor**:**Round down to the closest value toward 0:**however, if you want to round a number to its closest integer value toward 0, you can use the**fix**MATLAB function. In short, this will round down for a positive value but will round up for a negative value:

## Round Up: the Ceil MATLAB Function

In order to round up in MATLAB, you can use the **ceil** function. In short, this will round up for a positive value:

Likewise, it will also round up for a negative value:

## Round to X Decimal Places and to Any Nearest Desired Value

**Round to X decimal places:**you can round to X decimal places with the following code:decimal = 3; value = round(10^decimal*value)/10^decimal;

For instance, in order to round to 3 decimal places, you just have to set the variable decimal to 3, and to round to 4 decimal places, run the code above for decimal=4. Also, here is a simple example:

**Round to any nearest desired value:**you can also generalize the code to the nearest desired value. In other words, it doesn’t have to be an integer. For example, let’s say that you want to round to the nearest fourth:nearestValue = 0.25; value = round(value/nearestValue)*nearestValue;

Finally, this would be:

**Key takeaways:**

- To round down in MATLAB, use:
**floor**to round down toward a smaller integer:

4.6 -> 4 -4.6 -> -5**fix**to round down towards 0:

4.6 -> 4 -4.6 -> -4

- To round up in MATLAB, use
**ceil:**-4.3 -> -4 -4.6 -> -4 - To round to the nearest integer, use
**round:**4.3 -> 4 4.6 -> 5 - To round to X decimal places, use:

value = round(10^decimal*value)/10^decimal;

- To round to the nearest desired value, use:
value = round(value/nearestValue)*nearestValue;

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