Subjects algebra

Ascending Order 814F95

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Ascending Order 814F95


1. **State the problem:** Arrange the numbers 17%, \(\frac{3}{20}\), 0.14, and \(\frac{5}{36}\) in ascending order. 2. **Convert all numbers to decimals for easy comparison:** - 17% means 17 per 100, so \(17\% = \frac{17}{100} = 0.17\). - \(\frac{3}{20} = 0.15\) because \(3 \div 20 = 0.15\). - 0.14 is already a decimal. - \(\frac{5}{36} \approx 0.1389\) because \(5 \div 36 \approx 0.1389\). 3. **List the decimal equivalents:** - \(0.17\) - \(0.15\) - \(0.14\) - \(0.1389\) 4. **Arrange these decimals in ascending order:** $$0.1389 < 0.14 < 0.15 < 0.17$$ 5. **Match back to original expressions:** $$\frac{5}{36} < 0.14 < \frac{3}{20} < 17\%$$ **Final answer:** \(\frac{5}{36}, 0.14, \frac{3}{20}, 17\%\)