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The ** ceil() function** returns the smallest integer that is greater than or equal to the number whose ceiling needs to be calculated.

Figure 1 shows the mathematical representation of the `ceil()`

function and the corresponding expression in Ruby.

```
num.ceil(digits)
# where num is a number to round up
#where digits is the number of decimal places to which the precision is to be kept
```

This function requires `n`

digits to which the precision of decimal digits is kept. This is optional, and if its value is omitted, then its default value is 0.

`ceil()`

returns an integer that represents the ceiling of the value to which the function is applied.

The example shows how we can use the `ceil()`

function in Ruby.

```
#The following code rounds up 17.321 to 2 decimal places
(17.321).ceil(2) => 17.33
#In the case if '-n' is sent as digits to the function then, it rounds up the number to n number of digits to the left of decimal places
(18).ceil(-1) => 10
```

#positive integer num1=10 print "num1.ceil() : ", num1.ceil(), "\n" #negative integer num2=-10 print "num2.ceil() : ", num2.ceil(), "\n" #positive float value num3=2.1 print "num3.ceil() : ", num3.ceil(), "\n" #negative float value num4=-2.1 print "num4.ceil() : ", num4.ceil(), "\n"

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