Precedence governs the order in which an expression is solved. For example:
2 + 3 * 6 -> 20
the * operator has priority over +.Associativity refers to the order in which operators are applied if they have the same precedence level. The two possibilities are from left-to-right or right-to-left.
A unary operator is used on only one number. An example of a unary operator is the negative sign in the expression -a, meaning the negative of a.
The following table summarizes precedence and associativity of math operators:
Level of Precedence | Operator | Associativity |
---|---|---|
Highest | unary - | right to left |
* / % |
left to right | |
Lowest | + - |
left to right |
An example follows:
9 + 16 / 3 * 7 % 8 - 5
(solve / first)
9 + 5 * 7 % 8 - 5
(solve * second)
9 + 35 % 8 - 5
(solve % next)
9 + 3 - 5
(solve left-to-right)
7
Parentheses take priority over all the math operators.
(5+6)/(9-7) -> 11/2 -> 5
(integer division, which drops remainders, is used here)
Last modified: December 12, 2022
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