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Editorial Team
Asked: May 11, 20262026-05-11T18:48:08+00:00 2026-05-11T18:48:08+00:00

What is associativity for an operator and why is it important?

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What is associativity for an operator and why is it important?

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  1. Editorial Team
    Editorial Team
    2026-05-11T18:48:08+00:00Added an answer on May 11, 2026 at 6:48 pm

    For operators, associativity means that when the same operator appears in a row, then which operator occurence we apply first. In the following, let Q be the operator

    a Q b Q c
    

    If Q is left associative, then it evaluates as

    (a Q b) Q c
    

    And if it is right associative, then it evaluates as

    a Q (b Q c)
    

    It’s important, since it changes the meaning of an expression. Consider the division operator with integer arithmetic, which is left associative

    4 / 2 / 3    <=>    (4 / 2) / 3    <=> 2 / 3     = 0
    

    If it were right associative, it would evaluate to an undefined expression, since you would divide by zero

    4 / 2 / 3    <=>    4 / (2 / 3)    <=> 4 / 0     = undefined
    
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