Add fractional decimals carefully: Find the sum of 3/10 + 5/100 + 8/1000 in decimal form.
Aptitude
Decimal Fraction
Difficulty: Easy
Choose an option
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A0.853
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B0.358
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C3.58
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D8.35
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E0.385
Answer
Correct Answer: 0.358
Explanation
Introduction / Context:This question practices converting simple fractions to decimals and aligning place values for addition.
Given Data / Assumptions:
- Fractions: 3/10, 5/100, 8/1000
- Sum is requested in decimal form.
Concept / Approach:Convert each fraction to a decimal with correct place value, then add digit by digit, keeping tenths, hundredths, and thousandths aligned.
Step-by-Step Solution:
3/10 = 0.35/100 = 0.058/1000 = 0.008Sum = 0.3 + 0.05 + 0.008 = 0.358Verification / Alternative check:Add using thousandths: 0.300 + 0.050 + 0.008 = 0.358 exactly.
Why Other Options Are Wrong:0.853 is a digit permutation. 3.58 and 8.35 shift the decimal point incorrectly. 0.385 is an incorrect reordering of hundredths and thousandths.
Common Pitfalls:Failing to align decimal places and adding hundredths as tenths or vice versa.
Final Answer:0.358