Evaluate the expression step by step and compute the final value: 36800 − 9999 − 3333 − 66 = ?

Difficulty: Easy

Correct Answer: 23402

Explanation:


Introduction / Context:
This problem is a direct evaluation of a chain of subtractions. Although the arithmetic is basic, accuracy is vital because each subtraction influences the next. Systematic computation prevents cumulative errors that might appear small but lead to a wrong final answer.


Given Data / Assumptions:

  • Expression: 36800 − 9999 − 3333 − 66
  • All operations are subtractions executed left to right.
  • No hidden grouping or special precedence beyond standard rules.


Concept / Approach:
Evaluate sequentially from left to right. After each subtraction, write down the intermediate result before proceeding. This organized approach helps to catch digit-borrow errors and keeps the running total clear.


Step-by-Step Solution:
1) First subtraction: 36800 − 9999 = 26801.2) Second subtraction: 26801 − 3333 = 23468.3) Third subtraction: 23468 − 66 = 23402.4) Therefore, the final result is 23402.


Verification / Alternative check:
Add back the subtracted amounts to 23402: 23402 + 66 + 3333 + 9999 = 36800, confirming no arithmetic slips occurred.


Why Other Options Are Wrong:
27912: Suggests an incorrect intermediate subtraction or reversed operation.24102: Off by 700, likely from mis-subtracting 3333 or 66.30200: Far from the correct value, possibly a single-step approximation rather than sequential computation.


Common Pitfalls:
Borrow mistakes when subtracting 9999; skipping an intermediate result; mixing the order of the last two subtractions. Carefully recording each intermediate value avoids these errors.


Final Answer:
23402

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