# Precedence of OperatorsΒΆ

Arithmetic operators take precedence over logical operators. Python will always evaluate the arithmetic operators first (** is highest, then multiplication/division, then addition/subtraction). Next comes the relational operators. Finally, the logical operators are done last. This means that the expression x*5 >= 10 and y-6 <= 20 will be evaluated so as to first perform the arithmetic and then check the relationships. The and will be done last. Many programmers might place parentheses around the two relational expressions, (x*5 >= 10) and (y-6 <= 20). It is not necessary to do so, but causes no harm and may make it easier for people to read and understand the code.

The following table summarizes the operator precedence from highest to lowest. A complete table for the entire language can be found in the Python Documentation.

Level Category Operators
7(high) exponent **
6 multiplication *,/,//,%
5 addition +,-
4 relational ==,!=,<=,>=,>,<
3 logical not
2 logical and
1(low) logical or

Check your understanding

rec-5-50: Which of the following properly expresses the precedence of operators (using parentheses) in the following expression: 5*3 > 10 and 4+6==11
• (A) ((5*3) > 10) and ((4+6) == 11)
• Yes, * and + have higher precedence, followed by > and ==, and then the keyword "and"
• (B) (5*(3 > 10)) and (4 + (6 == 11))
• Arithmetic operators (*, +) have higher precedence than comparison operators (>, ==)
• (C) ((((5*3) > 10) and 4)+6) == 11
• This grouping assumes Python simply evaluates from left to right, which is incorrect. It follows the precedence listed in the table in this section.
• (D) ((5*3) > (10 and (4+6))) == 11
• This grouping assumes that "and" has a higher precedence than ==, which is not true.
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