INT function

The INT function in Excel is used to round a number down to the nearest integer that is less than or equal to the original number. It essentially removes the decimal part of a number.

Syntax

=INT(number)

Parameters

  • number: The number you want to round down. It can be a positive or negative number.

Return Value

The function returns the integer value of the number, rounding down to the nearest whole number.

Examples

Example 1: Round Down Positive Number

To round down 3.75 to the nearest integer:

=INT(3.75)

Result: 3

Explanation: Since the decimal part of the number is 0.75, the function rounds the number down to 3.

Example 2: Round Down Negative Number

To round down -3.75 to the nearest integer:

=INT(-3.75)

Result: -4

Explanation: The INT function always rounds down (towards negative infinity). In this case, the nearest integer less than or equal to -3.75 is -4.

Example 3: Round Down Whole Number

To round 5 to the nearest integer:

=INT(5)

Result: 5

Explanation: Since 5 is already an integer, the result remains the same.

Example 4: Use INT to Round a Negative Decimal

To round -2.1 to the nearest integer:

=INT(-2.1)

Result: -3

Explanation: The function rounds down towards the more negative value, so it rounds -2.1 down to -3.

Key Points

  • The INT function always rounds down towards the next lower integer (even for negative numbers).
  • For positive numbers, it effectively truncates the decimal portion, removing any digits after the decimal point.
  • For negative numbers, it rounds away from zero, moving to the next lower integer.

Related Functions

  • TRUNC: Similar to INT, but TRUNC allows you to specify how many digits to keep after the decimal point.
  • ROUND: Rounds a number to a specified number of digits.
  • CEILING: Rounds a number up to the nearest multiple of a specified value.
  • FLOOR: Rounds a number down to the nearest multiple of a specified value.

The INT function is useful for situations where you need to discard the fractional part of a number and round down to the nearest integer.

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