Fernandez Turnbull
05/12/2024 · High School
\( \begin{array}{l}\text { Order the following numbers } \\ \text { from least to greatest. }\end{array} \) \( 95 \%, \frac{17}{20}, 1.1, \frac{10}{9}, 80 \% \)
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Tutor-Verified Answer
Step-by-step Solution
To order the numbers \( 95\%, \frac{17}{20}, 1.1, \frac{10}{9}, 80\% \) from least to greatest, we first convert all the numbers to a common format, such as decimals.
1. **Convert percentages to decimals:**
- \( 95\% = 0.95 \)
- \( 80\% = 0.80 \)
2. **Convert fractions to decimals:**
- \( \frac{17}{20} = 0.85 \) (since \( 17 \div 20 = 0.85 \))
- \( \frac{10}{9} \approx 1.1111 \) (since \( 10 \div 9 \approx 1.1111 \))
3. **Convert \( 1.1 \) to decimal:**
- \( 1.1 = 1.1 \)
Now we have the following decimal values:
- \( 80\% = 0.80 \)
- \( \frac{17}{20} = 0.85 \)
- \( 95\% = 0.95 \)
- \( \frac{10}{9} \approx 1.1111 \)
- \( 1.1 = 1.1 \)
4. **Order the decimal values from least to greatest:**
- \( 0.80 \) (which is \( 80\% \))
- \( 0.85 \) (which is \( \frac{17}{20} \))
- \( 0.95 \) (which is \( 95\% \))
- \( 1.1111 \) (which is \( \frac{10}{9} \))
- \( 1.1 \)
Thus, the ordered list from least to greatest is:
\[
80\%, \frac{17}{20}, 95\%, \frac{10}{9}, 1.1
\]
Quick Answer
Order from least to greatest: 80%, \( \frac{17}{20} \), 95%, \( \frac{10}{9} \), 1.1
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