Order the following numbers from least to greatest:
\(-\frac{1}{2}\), \(-0.3\), \(-0.25\), \(0.1\), \(\frac{1}{5}\)
Answer (2)
5 1 = 5 ⋅ 2 1 ⋅ 2 = 10 2 = 0.2 − 2 1 = 2 ⋅ 5 1 ⋅ 5 = − 10 5 = − 0.5 − 0.5 < − 0.3 < − 0.25 < 0.1 < 0.2 t h ere f ore − 2 1 < − 0.3 < − 0.25 < 0.1 < 5 1
To order the numbers from least to greatest, convert each number to decimal: -0.5, -0.3, -0.25, 0.1, and 0.2. The correct order is -0.5 < -0.3 < -0.25 < 0.1 < 0.2. Therefore, the ordered sequence is -\frac{1}{2} < -0.3 < -0.25 < 0.1 < \frac{1}{5}.
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