Difficulty: Easy
Correct Answer: 60.658
Explanation:
Introduction / Context:
Decimal arithmetic questions check precision with place values. Careful alignment and stepwise addition prevent typical carry/borrow errors and rounding slips.
Given Data / Assumptions:
Concept / Approach:
Align decimal places and add systematically, or add in small groups to keep carries under control. No rounding is necessary because the addends have finite decimal expansions.
Step-by-Step Solution:
First pair: 51.3 + 7.078 = 58.378.Add the next: 58.378 + 1.38 = 59.758.Add the last: 59.758 + 0.9 = 60.658.
Verification / Alternative check:
Compute with full decimal alignment: 51.300 + 7.078 + 1.380 + 0.900 = 60.658. A calculator check confirms the total.
Why Other Options Are Wrong:
61.668 and 59.238 are off by mis-placed carries; “None of these” is incorrect because an exact listed option exists; 60.586 reverses digits.
Common Pitfalls:
Not aligning decimals; treating 0.9 as 0.09; rounding prematurely.
Final Answer:
60.658
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