Add three decimal numbers carefully: Evaluate (2.47 + 3.53 + 0.05) and choose the exact sum.

Difficulty: Easy

Correct Answer: 6.05

Explanation:


Introduction / Context:
Accurate addition of decimals requires alignment of place values and careful handling of carries. This skill underpins percentage, money, and measurement problems.



Given Data / Assumptions:

  • Addends: 2.47, 3.53, and 0.05.
  • We seek the exact sum, not an approximation.


Concept / Approach:
Align decimals and add column by column: hundredths, tenths, ones. Combine 2.47 and 3.53 first (a neat whole), then include 0.05.



Step-by-Step Solution:

2.47 + 3.53 = 6.00 (since 0.47 + 0.53 = 1.00)Now add 0.05: 6.00 + 0.05 = 6.05


Verification / Alternative check:
Add directly by places: (2 + 3 + 0) + (0.4 + 0.5 + 0.0) + (0.07 + 0.03 + 0.05) = 5 + 0.9 + 0.15 = 6.05.



Why Other Options Are Wrong:
6.06 occurs if you mistakenly add 0.06 instead of 0.05. 6.01 results from mis-adding hundredths. 6.00 and 5.95 ignore or mis-handle the 0.05 term.



Common Pitfalls:
Not noticing that 2.47 + 3.53 makes an exact whole (which simplifies the computation), or misplacing the final hundredths digit.



Final Answer:
6.05

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