Question

Order from least to greatest
2/3, 0.07, 21%, 1/3, 0.7, 5/10

Answer 1

To order the numbers \( \frac{2}{3} \), \( 0.07 \), \( 21\% \), \( \frac{1}{3} \), \( 0.7 \), and \( \frac{5}{10} \) from least to greatest, we'll first convert everything to decimal form for easier comparison.

1. \( 0.07 \) is already in decimal form.
2. \( 21\% = \frac{21}{100} = 0.21 \).
3. \( \frac{1}{3} \approx 0.3333 \).
4. \( \frac{2}{3} \approx 0.6667 \).
5. \( \frac{5}{10} = 0.5 \).
6. \( 0.7 \) is already in decimal form.

Now, we can list them in decimal form:
- \( 0.07 \)
- \( 0.21 \)
- \( 0.5 \) (from \( \frac{5}{10} \))
- \( 0.3333 \) (from \( \frac{1}{3} \))
- \( 0.6667 \) (from \( \frac{2}{3} \))
- \( 0.7 \)

Now we order them:
1. \( 0.07 \)
2. \( 0.21 \)
3. \( 0.3333 \) (or \( \frac{1}{3} \))
4. \( 0.5 \) (or \( \frac{5}{10} \))
5. \( 0.6667 \) (or \( \frac{2}{3} \))
6. \( 0.7 \)

So the ordered list from least to greatest is:
\[
0.07, 21\%, \frac{1}{3}, \frac{5}{10}, \frac{2}{3}, 0.7
\]