Question
PLACE NUMBERS IN DESCENDING ORDER. \[ \begin{array}{c}\text { A) }-\sqrt{20} \\ \text { B) }-\frac{15}{6} \\ \text { ( })-5 \frac{1}{4} \\ \text { D) }-4 \% \\ \text { E) } 1.5 \times 10^{-2}\end{array} \]
Ask by Brewer Bowen. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The numbers in descending order are E, D, B, A, C.
Solution
To arrange the given numbers in **descending order** (from the largest to the smallest), let's first evaluate each option:
1. **A) \(-\sqrt{20}\)**
- \(\sqrt{20} \approx 4.472\)
- So, \(-\sqrt{20} \approx -4.472\)
2. **B) \(-\frac{15}{6}\)**
- \(-\frac{15}{6} = -2.5\)
3. **C) \(-5 \frac{1}{4}\)**
- \(-5 \frac{1}{4} = -5.25\)
4. **D) \(-4\%\)**
- \(-4\% = -0.04\)
5. **E) \(1.5 \times 10^{-2}\)**
- \(1.5 \times 10^{-2} = 0.015\)
Now, let's list these values:
- **E)** \(0.015\)
- **D)** \(-0.04\)
- **B)** \(-2.5\)
- **A)** \(-4.472\)
- **C)** \(-5.25\)
**Descending Order:**
\[ \text{E) } 0.015 > \text{D) } -0.04 > \text{B) } -2.5 > \text{A) } -4.472 > \text{C) } -5.25 \]
**Final Answer:**
From highest to lowest, the numbers are E, D, B, A, C.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To place the numbers in descending order, let's first convert them into a more comparable format. A) \(-\sqrt{20} \approx -4.47\) B) \(-\frac{15}{6} = -2.5\) C) \(-5 \frac{1}{4} = -5.25\) D) \(-4\% = -0.04\) E) \(1.5 \times 10^{-2} = 0.015\) Now, when we list them from largest (least negative) to smallest (most negative), we get: D) \(-4\%\), E) \(1.5 \times 10^{-2}\), B) \(-\frac{15}{6}\), A) \(-\sqrt{20}\), C) \(-5\frac{1}{4}\). So the descending order is: D, E, B, A, C.
