Compute the decimal sum accurately: Evaluate (0.3467 + 0.1333) and give the result to four decimal places.
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A0.48
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B0.4801
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C0.4800
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D0.47
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E0.481
Answer
Correct Answer: 0.4800
Explanation
Introduction / Context:This item checks comfort with addition of decimals and correct placement of the decimal point. The original formatting had spaces within decimals; we normalize it as 0.3467 + 0.1333 and add them carefully.
Given Data / Assumptions:
- Addends: 0.3467 and 0.1333.
- Standard base-10 place-value arithmetic applies.
- Report the exact decimal sum (no rounding needed beyond the natural precision).
Concept / Approach:Align decimals by place value: ten-thousandths with ten-thousandths, etc. Add column-wise from right to left, carrying over if a column sums to 10 or more tenths of that place.
Step-by-Step Solution:
Write vertically and align places:0.3467+0.1333= 0.4800Verification / Alternative check:Break each number by place values: (0.3000 + 0.1000) + (0.0400 + 0.0300) + (0.0060 + 0.0030) + (0.0007 + 0.0003) = 0.4000 + 0.0700 + 0.0090 + 0.0010 = 0.4800.
Why Other Options Are Wrong:0.48 omits trailing precision, while the exact four-place result is 0.4800. 0.4801 and 0.481 arise from a mistaken carry. 0.47 is a subtraction-like error or truncation.
Common Pitfalls:Misaligning digits (e.g., adding hundredths to thousandths), or prematurely rounding before completing the addition which can shift the last digit.
Final Answer:0.4800