Unit conversion insight: What decimal fraction of one litre is 40 ml?

Difficulty: Easy

Correct Answer: 0.04

Explanation:

Introduction / Context:Fluid measure conversions are routine in science and daily life. Here we express a small volume as a decimal fraction of a standard litre.

Given Data / Assumptions:

  • 1 litre = 1000 millilitres.
  • We have 40 millilitres.
  • Ask for decimal fraction of a litre represented by 40 millilitres.

Concept / Approach:A decimal fraction of a whole equals part divided by whole. Convert both amounts to consistent units and divide.

Step-by-Step Solution:

Fraction = 40 ml / 1000 mlCompute 40/1000 = 0.04Therefore the decimal fraction is 0.04

Verification / Alternative check:As a percentage, 0.04 equals 4%. Four percent of a litre is 40 ml, which matches the given amount.

Why Other Options Are Wrong:0.4 equals 400 ml which is too large. 0.05 equals 50 ml. None of these is invalid because 0.04 appears. 0.4% would be 4 ml not 40 ml.

Common Pitfalls:Confusing millilitres and litres or dropping a zero when dividing by 1000, which shifts the decimal point incorrectly.

Final Answer:0.04

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