Add fractional decimals carefully: Find the sum of 3/10 + 5/100 + 8/1000 in decimal form.

Difficulty: Easy

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 = 0.358


Verification / 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

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