Compute the value, working left to right and give an integer approximation if needed: 5454 ÷ 54 ÷ 5 = ?

Difficulty: Easy

Correct Answer: 20

Explanation:


Introduction / Context:
Division expressions should be evaluated from left to right. Because this problem appears in an “approximation” set and the answer options are integers, we compute the exact value first and then round sensibly to the nearest whole number.

Given Data / Assumptions:

  • Expression: 5454 ÷ 54 ÷ 5.
  • Evaluate strictly left to right.
  • Category indicates we may provide a nearest-integer approximation if the exact value is not among the options.


Concept / Approach:
First divide 5454 by 54. Then divide that result by 5. Compare the exact decimal with the listed integer choices and choose the closest one, as is standard in approximation-type MCQs.

Step-by-Step Solution:

Step 1: 5454 ÷ 54 = 101 (since 54 * 101 = 5454).Step 2: Now compute 101 ÷ 5 = 20.2.The exact result is 20.2.Nearest integer (standard approximation): 20.


Verification / Alternative check:
Reconstruct: 20 * 5 = 100, slightly less than 101; the exact 20.2 × 5 is 101, which matches the intermediate step, confirming 20.2 is correct before rounding.

Why Other Options Are Wrong:

  • 15: Too low; would imply 15 × 5 = 75, far from 101.
  • 25: Too high; 25 × 5 = 125, above 101.
  • 30: Much too high; 30 × 5 = 150.


Common Pitfalls:
Changing the order of operations (e.g., dividing by 5 first) or assuming a non-integer must match exactly despite the approximation context. In “approximation” questions, rounding to the closest offered integer is expected if the exact decimal is absent.

Final Answer:

20

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion