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Where does modulo come in the mathematical order of operation? I am guessing it is similar to division, but before or after?
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At least in C++ and Java, modulo ( % ) has the same level of precedence as multiplication and division. Since % , / and * are (usually) left-associative, they are evaluated left to right.
The multiplication, modulus and division are evaluated first in left-to-right order (i.e., they associate from left to right) because they have higher precedence than addition and subtraction. The addition and subtraction are applied next.
The multiplicative order of a number a modulo n is the order of a in the multiplicative group whose elements are the residues modulo n of the numbers coprime to n, and whose group operation is multiplication modulo n.
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
This depends on the language, but in C style languages % is the same precedence as * and /. This means that if it appears in the same expression (without parentheses) the order depends on the associativity. In this case % is usually left-associative, so the operators will be executed in left-to-right order.
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