Respect left-to-right for multiplication/division Evaluate: 7 + 7 ÷ 7 * 7 (do division, then multiplication, then addition).

Difficulty: Easy

Correct Answer: 14

Explanation:


Introduction / Context:
This classic trap checks whether you apply the left-to-right rule for multiplication and division of equal precedence before doing any addition. Doing it correctly yields an integer result without ambiguity.


Given Data / Assumptions:

  • Expression: 7 + 7 ÷ 7 * 7.
  • Division and multiplication have equal precedence; evaluate left to right.
  • Addition is done last.


Concept / Approach:
First compute 7 ÷ 7, then multiply the result by 7, and finally add the leading 7. This prevents the common mistake of adding first or multiplying 7*7 first.


Step-by-Step Solution:
7 ÷ 7 = 1.1 * 7 = 7.Now add: 7 + 7 = 14.So the value is 14.


Verification / Alternative check:
Insert parentheses to mirror precedence: 7 + ((7 ÷ 7) * 7) = 7 + (1 * 7) = 14, matching the left-to-right rule for equal-precedence ops.


Why Other Options Are Wrong:
42 comes from multiplying 7*7 first to get 49, then adding 7 and dividing by 7 unsystematically.71/7 or 2/7 reflect mishandled grouping or treating the entire expression as a single fraction.


Common Pitfalls:
Violating left-to-right for * and ÷; distributing the 7 incorrectly; or treating 7 + 7 ÷ 7 as (7 + 7)/7 by mistake.


Final Answer:
14

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