# Mathematical Operators

The most commonly used mathematical operators are:
`*` (multiplication), `/` (division), `DIV` (integer division),
`MOD` (remainder after integer division), `+` (addition) and `-` (subtraction).

The `/` operator carries out division and
gives a value that, if assigned, must be assigned to a real variable. Even if both operands
are integers, the result is unlikely to be an integer and cannot be assigned to an integer
variable. For integer division, use the `DIV` and `MOD` operators. The `DIV` operator performs the division then
truncates the answer so that only the whole number remains. The `MOD` operator gives the remainder after
integer division. For example, the expression `7
DIV 3` evaluates to 2 and the expression `7
MOD 3` evaluates to 1.

An example of the use of `DIV` and
`MOD` is the conversion of units
such as seconds to minutes and seconds:

program DivMod; {$APPTYPE CONSOLE} uses SysUtils; var Seconds, Minutes : integer; begin write('Please enter the number of seconds. '); readln(Seconds); Minutes := Seconds DIV 60; Seconds := Seconds MOD 60; writeln('That is ', Minutes, ' minutes and ', Seconds, ' seconds.'); readln; end.

## Precedence

Within both of the following levels, the operators have equal precedence.

Higher precedence: `*`, `/`, `DIV`, `MOD`

Lower precedence: `+`, `-`

## Examples

- The Pascal assignment
`v := u + a * t`corresponds to the mathematical equation v = u + at. Multiplication takes precedence over addition so a bracket is not needed. - The assignment
`Mean := (Num1 + Num2) / 2`to store the mean of two numbers needs the bracket to raise the precedence of the addition. Otherwise, the result of dividing`Num2`by 2 would be added to`Num1`. - The assignment
`NetPay := GrossPay – Tax – NIC - Pension`to store the net pay after making three deductions from gross pay does not have brackets because the order of operation of the three subtraction operators is from left to right.