Greatest Integer Function
How to find the value of the greatest integer function numbers: examples and their solutions.
Example 1: [2.5]
![Find the value of the given expression. [2.5]](https://ximpledu.com/en-us/greatest-integer-function/greatest-integer-function-01-02.png "Greatest Integer Function: Example 1, Solution")
[] is the greatest integer sign.
As its name implies,
[2.5] means
the greatest integer
that is less than or equal to 2.5.
2.5 is between 2 and 3.
So write 3, 2.5, and 2 vertically, like this.
The integer right below 2.5 is 2.
So [2.5] = 2.
Example 2: [6]
![Find the value of the given expression. [6]](https://ximpledu.com/en-us/greatest-integer-function/greatest-integer-function-02-02.png "Greatest Integer Function: Example 2, Solution")
6 is an integer.
The greatest integer function of an integer is itself.
So [6] = 6.
Example 3: [-8]
![Find the value of the given expression. [-8]](https://ximpledu.com/en-us/greatest-integer-function/greatest-integer-function-03-02.png "Greatest Integer Function: Example 3, Solution")
-8 is an integer.
The greatest integer function of an integer is itself.
So [-8] = -8.
Example 4: [-π]
![Find the value of the given expression. [-pi]](https://ximpledu.com/en-us/greatest-integer-function/greatest-integer-function-04-02.png "Greatest Integer Function: Example 4, Solution")
-π = -3.14...
So -π is between -3 and -4.
So write -3, -π, and -4 vertically, like this.
The integer right below -π is -4.
So [-π] = -4.
