Question
Order the numbers from least to greatest. \( \frac{1}{5}, \frac{2}{3}, 0.25,|-3|, 2 \frac{1}{2} \) Change to one form. Order \( = \)
Ask by Fowler Warren. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The numbers ordered from least to greatest are: \( \frac{1}{5},\ 0.25,\ \frac{2}{3},\ 2\frac{1}{2},\ | -3 | \).
Solution
1. Express each number in one common form (decimals):
- \( \frac{1}{5} = 0.2 \)
- \( 0.25 = 0.25 \)
- \( \frac{2}{3} \approx 0.6667 \)
- \( | -3 | = 3 \)
- \( 2\frac{1}{2} = 2.5 \)
2. Arrange the decimal values from least to greatest:
\[
0.2,\ 0.25,\ 0.6667,\ 2.5,\ 3
\]
3. Convert the arranged decimals back to their original forms:
\[
\frac{1}{5},\ 0.25,\ \frac{2}{3},\ 2\frac{1}{2},\ | -3 |
\]
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Simplify this solution Mind Expander
Let's change all the numbers into decimal form for easier comparison. The fractions convert to decimals as follows: \( \frac{1}{5} = 0.2 \), \( \frac{2}{3} \approx 0.67 \). The absolute value gives \( |-3| = 3 \). The mixed number \( 2 \frac{1}{2} \) becomes \( 2.5 \). So the numbers are \( 0.2, 0.25, 0.67, 3, 2.5 \). Ordering them from least to greatest, we have: Order = \( 0.2, 0.25, 0.67, 2.5, 3 \)
