Question
Place the correct symbol between each pair of numbers: \( <,> \), or \( = \). You only get one guess per answer, so be careful. 4/100 \( \square \) ---Select-0.4\% 0.001 \( \square \) ---Select-0.05 218\% \( \square \) --Select9/4 0.005 \( \square \) ---Select--0.00500
Ask by Marshall Morrison. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
1. \( \frac{4}{100} > 0.4\% \)
2. \( 0.001 < 0.05 \)
3. \( 218\% < \frac{9}{4} \)
4. \( 0.005 = 0.00500 \)
Solution
Sure, let's compare each pair and determine the correct symbol:
1. **\( \frac{4}{100} \) vs. 0.4%**
- \( \frac{4}{100} = 4\% \)
- \( 0.4\% = 0.004 \)
- **Comparison:** \( 4\% > 0.4\% \)
- **Symbol:** \( > \)
2. **0.001 vs. 0.05**
- \( 0.001 < 0.05 \)
- **Symbol:** \( < \)
3. **218% vs. \( \frac{9}{4} \)**
- \( 218\% = 2.18 \)
- \( \frac{9}{4} = 2.25 \)
- **Comparison:** \( 2.18 < 2.25 \)
- **Symbol:** \( < \)
4. **0.005 vs. 0.00500**
- Both values are equal.
- **Symbol:** \( = \)
### Summary of Symbols:
1. \( \frac{4}{100} \, > \, 0.4\% \)
2. \( 0.001 \, < \, 0.05 \)
3. \( 218\% \, < \, \frac{9}{4} \)
4. \( 0.005 \, = \, 0.00500 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
Let's break down the comparisons! For the first one, \( \frac{4}{100} = 0.04 \) and \( 0.4\% = 0.004 \). So, \( 0.04 > 0.004 \). In the second comparison, \( 0.001 = 0.001 \) and \( 0.05 = 0.05 \). So, \( 0.001 < 0.05 \). Next, \( 218\% = 2.18 \) and \( \frac{9}{4} = 2.25 \). So, \( 2.18 < 2.25 \). Lastly, for the final comparison, \( 0.005 = 0.00500 \). So, \( 0.005 = 0.00500 \). So we have: 1. \( 4/100 > 0.4\% \) 2. \( 0.001 < 0.05 \) 3. \( 218\% < 9/4 \) 4. \( 0.005 = 0.00500 \) Hope this helps you avoid those tricky slips and makes those numbers feel a bit more friendly!
