What Does Int Stand for in Math
What Does Int Stand for in Math
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Excel INT Function
Summary
The Excel INT function returns the integer part of a decimal number by rounding down to the integer. Note that negative numbers become more negative. For example, while INT(10.8) returns 10, INT(-10.8) returns -11.
Purpose
Get the integer part of a number by rounding down
Return value
The integer part of the number after rounding down
Arguments
- number - The number from which you want an integer.
Usage notes
The INT function returns the integer part of a decimal number by rounding down to the integer. It is important to understand that the INT function returns the integer part of a decimal number, after rounding down. One consequence of this behavior is that negative numbers become more negative. For example, while INT(10.8) returns 10, INT(-10.8) returns -11. To return an integer by truncating decimals, see the TRUNC function.
The INT function takes just one argument, number, which should be a numeric value. INT returns a #VALUE! error if number is not a numeric value. If number is already a whole number, INT has no effect.
Examples
When numbers are positive, the INT function rounds down to the next lowest whole number:
= INT ( 3.25 ) // returns 3 = INT ( 3.99 ) // returns 3 = INT ( 3.01 ) // returns 3
Notice INT rounds positive numbers down toward zero. With negative numbers, INT rounds down away from zero:
= INT ( - 3.25 ) // returns -4 = INT ( - 3.99 ) // returns -4 = INT ( - 3.01 ) // returns -4
INT vs. TRUNC
INT is similar to the TRUNC function because they both can return the integer part of a number. However, TRUNC simply truncates a number, while INT actually rounds a number down to an integer. With positive numbers, and when TRUNC is using the default of 0 for num_digits, both functions return the same results. With negative numbers, the results can be different. INT(-3.1) returns -4, because INT rounds down to the lower integer. TRUNC(-3.1) returns -3. If you simply want the integer part of a number, you should use TRUNC.
Rounding functions in Excel
Excel provides a number of functions for rounding:
- To round normally, use the ROUND function.
- To round to the nearest multiple, use the MROUND function.
- To round down to the nearest specified place, use the ROUNDDOWN function.
- To round down to the nearest specified multiple, use the FLOOR function.
- To round up to the nearest specified place, use the ROUNDUP function.
- To round up to the nearest specified multiple, use the CEILING function.
- To round down and return an integer only, use the INT function.
- To truncate decimal places, use the TRUNC function.
Notes
- INT returns a #VALUE! error if number is not a numeric value.
- Use the INT function to get an integer from a number by rounding.
- Use the TRUNC function to return an integer by truncating.
INT formula examples
Excel handles dates and time using a scheme in which dates are serial numbers and times are fractional values. For example, June 1, 2000 12:00 PM is represented in Excel as the number 36678.5, where 36678 is the date...
The YEARFRAC function returns a decimal number representing the fractional years between two dates. For example: =YEARFRAC("1-Jan-2019","1-Jan-2020") // returns 1 =YEARFRAC("1-Jan-2019",...
The DATEDIF function (Date + Dif) is a bit of an anomaly in Excel. A compatibility function that comes originally from Lotus 1-2-3, Excel will not help supply arguments when the function is entered. However, DATEDIF...
To start off, the formula in C5 is: =INT($B5/C$4) This formula divides the amount in column B by the denomination in C4 (100) and discards the remainder using the INT function. The formulas in column C are simpler...
With TRUNC, no rounding takes place. The TRUNC function simply slices off the decimal part of the number with default settings. TRUNC actually takes an optional second argument to specify the precision of truncation,...
Most of the work in this formula is done by the TEXT function, which applies a custom number format for hours and minutes to a value created by subtracting the start date from the end date. TEXT(C5-B5,"h"...
This can be an intimidating formula if you don't have a good background in math, but let's work through it step-by-step. First, when you have a formula like this where one function (in this case ROUND) wraps around...
In this example, the goal is to test if a numeric value is a whole number. There are several ways to go about this. One of the easiest ways is to use the MOD function with a divisor of 1. Any whole number divided by 1...
This formula converts a numeric value in inches to text representing the same measurement in inches and feet. To get the value for feet, the INT function is used like this: =INT(B5/12)&"' " Inside INT,...
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Related functions
The Excel TRUNC function returns a truncated number based on an (optional) number of digits. For example, TRUNC(4.9) will return 4, and TRUNC(-3.5) will return -3. The TRUNC function does no rounding, it simply truncates as specified.
The Excel INT function returns the integer part of a decimal number by rounding down to the integer. Note that negative numbers become more negative. For example, while INT(10.8) returns 10, INT(-10.8) returns -11.
The Excel ROUND function returns a number rounded to a given number of digits. The ROUND function can round to the right or left of the decimal point.
The Excel ROUNDDOWN function returns a number rounded down to a given number of places. Unlike standard rounding, where only numbers less than 5 are rounded down, ROUNDDOWN rounds all numbers down.
The Excel ROUNDUP function returns a number rounded up to a given number of decimal places. Unlike standard rounding, where only numbers less than 5 are rounded down, ROUNDUP rounds all numbers up.
The Excel MROUND function returns a number rounded to a given multiple. MROUND will round a number up or down, depending on the nearest multiple.
The Excel FLOOR function rounds a given number down to the nearest specified multiple. FLOOR works like the MROUND function, but FLOOR always rounds down.
The Excel CEILING function rounds a given number up to the nearest specified multiple. CEILING works like the MROUND function, but CEILING always rounds up.
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Source: https://exceljet.net/excel-functions/excel-int-function
Posted by: scherkseptan.blogspot.com