Evaluate the expression step by step and compute the final value: 36800 − 9999 − 3333 − 66 = ?
-
A27912
-
B23402
-
C24102
-
D30200
Answer
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