QuestionAugust 25, 2025

29. Place the following values in ascending order. -(3)/(2),-2sqrt (2),-pi

29. Place the following values in ascending order. -(3)/(2),-2sqrt (2),-pi
29. Place the following values in ascending order. -(3)/(2),-2sqrt (2),-pi

Solution
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Answer

-\pi, -2\sqrt{2}, -\frac{3}{2} Explanation 1. Approximate the values Calculate approximate decimal values for each term: -\frac{3}{2} \approx -1.5, -2\sqrt{2} \approx -2 \times 1.414 \approx -2.828, and -\pi \approx -3.141. 2. Order the values Compare the approximate values: -3.141 < -2.828 < -1.5.

Explanation

1. Approximate the values<br /> Calculate approximate decimal values for each term: $-\frac{3}{2} \approx -1.5$, $-2\sqrt{2} \approx -2 \times 1.414 \approx -2.828$, and $-\pi \approx -3.141$.<br />2. Order the values<br /> Compare the approximate values: $-3.141 < -2.828 < -1.5$.
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