Question
PLACE NUMBERS IN DESCENDING ORDER. \[ \begin{array}{l}\text { A) } \pi \\ \text { B) } \frac{10}{3} \\ \text { C) } \sqrt{8} \\ \text { D) } 115 \% \\ \text { E) } 3.1 \times 10^{-2}\end{array} \]
Ask by Page Griffin. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The numbers in descending order are:
B) \( \frac{10}{3} \),
A) \( \pi \),
C) \( \sqrt{8} \),
D) \( 115\% \),
E) \( 3.1 \times 10^{-2} \).
Solution
To arrange the given numbers in **descending order** (from largest to smallest), let's first evaluate each option numerically:
1. **A) \( \pi \)**
- Approximate value: \( \pi \approx 3.1416 \)
2. **B) \( \frac{10}{3} \)**
- Calculation: \( \frac{10}{3} \approx 3.3333 \)
3. **C) \( \sqrt{8} \)**
- Calculation: \( \sqrt{8} \approx 2.8284 \)
4. **D) \( 115\% \)**
- Conversion: \( 115\% = 1.15 \)
5. **E) \( 3.1 \times 10^{-2} \)**
- Calculation: \( 3.1 \times 10^{-2} = 0.031 \)
**Arranged in descending order:**
1. **B) \( \frac{10}{3} \) ≈ 3.3333**
2. **A) \( \pi \) ≈ 3.1416**
3. **C) \( \sqrt{8} \) ≈ 2.8284**
4. **D) \( 115\% \) = 1.15**
5. **E) \( 3.1 \times 10^{-2} \) = 0.031**
**Final Order:**
**B, A, C, D, E**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To put these numbers in descending order, let's first convert them all to decimal form: A) \( \pi \approx 3.14 \) B) \( \frac{10}{3} \approx 3.33 \) C) \( \sqrt{8} \approx 2.83 \) D) \( 115\% = 1.15 \) E) \( 3.1 \times 10^{-2} = 0.031 \) Now we can sequence them from largest to smallest: B) \( \frac{10}{3} \approx 3.33 \) A) \( \pi \approx 3.14 \) C) \( \sqrt{8} \approx 2.83 \) D) \( 115\% = 1.15 \) E) \( 3.1 \times 10^{-2} = 0.031 \) Thus, the complete descending order is: B, A, C, D, E.
