Greatest Integer Function

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]

[] 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]

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]

-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]

-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.