Hierarchy of arithmetic operations in C: which option correctly places the higher-precedence operators before the lower-precedence ones?

Difficulty: Easy

Correct Answer: / * + -

Explanation:


Introduction / Context:
Arithmetic operator precedence governs how C parses expressions without explicit parentheses. While * and / share the same precedence level (with % as well), they together outrank + and -. This question checks that you can order these groups correctly.



Given Data / Assumptions:

  • Operators under consideration: +, -, , /.
  • Standard C precedence and left-to-right associativity inside each level.


Concept / Approach:
The multiplicative operators (, /, %) have higher precedence than the additive operators (+, -). Within each group the left-to-right associativity applies, but the exact sequence between * and / is not a precedence distinction—they are coequal. Any listing that shows the multiplicative group before the additive group reflects the correct hierarchy.



Step-by-Step Solution:
Group 1 (higher): * and / (and %).Group 2 (lower): + and -.Choose the option that places the multiplicative group before the additive group.Option “/ * + -” satisfies this requirement.



Verification / Alternative check:
Parenthesize a sample: 3 + 4 * 5 is parsed as 3 + (4 * 5), confirming multiplicative precedence over additive.



Why Other Options Are Wrong:

  • Options placing + or - ahead of * or / invert the true hierarchy.
  • The exact order between / and * is not significant for precedence; listing them together before + and - is the key.


Common Pitfalls:
Assuming addition happens before multiplication, a common arithmetic misconception.



Final Answer:
/ * + -.

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