Question
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2. Which of the following inequalities orders the numbers \( 0.2,0.03 \), and \( \frac{1}{4} \) from least to greatest? F. \( 0.2<0.03<\frac{1}{4} \) G. \( 0.03<0.2<\frac{1}{4} \) H. \( 0.03<\frac{1}{4}<0.2 \) J. \( \frac{1}{4}<0.03<0.2 \) K. \( \frac{1}{4}<0.2<0.03 \)

Ask by Schneider Reese. in the United States
Mar 05,2025

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Answer

The correct ordering from least to greatest is \( 0.03 < 0.2 < \frac{1}{4} \), so the answer is G.

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Extra Insights

To find the correct order of the numbers \(0.2\), \(0.03\), and \(\frac{1}{4}\), it's helpful to convert everything to decimals. The fraction \(\frac{1}{4}\) is equal to \(0.25\). Now, comparing: \(0.03 < 0.2 < 0.25\). This means the correct inequality that orders them from least to greatest is \(0.03 < 0.2 < \frac{1}{4}\), making option G the right answer! When solving inequalities like this, a common mistake is misinterpreting the placements of decimals and fractions. A useful tip is to convert fractions to decimals for easier comparison. Remembering that \(0.25\) is greater than both \(0.2\) and \(0.03\) can clarify many problems!

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