To order the numbers from least to greatest, let's first convert them all to decimal form for easier comparison.
- \( \frac{89}{9} \approx 9.8888\ldots \) (or \( 9.\overline{8} \))
- \( 8 \frac{5}{6} = 8 + \frac{5}{6} = 8 + 0.8333\ldots \approx 8.8333\ldots \)
- \( \frac{62}{7} \approx 8.8571\ldots \)
- \( 7.8 = 7.8 \)
Now we list the decimal approximations:
- \( \frac{89}{9} \approx 9.8888\ldots \)
- \( 8 \frac{5}{6} \approx 8.8333\ldots \)
- \( \frac{62}{7} \approx 8.8571\ldots \)
- \( 7.8 = 7.8 \)
Now let's compare these decimal values:
- \( 7.8 \)
- \( 8.8333\ldots \) (which is \( 8 \frac{5}{6} \))
- \( 8.8571\ldots \) (which is \( \frac{62}{7} \))
- \( 9.8888\ldots \) (which is \( \frac{89}{9} \))
Putting them in order from least to greatest, we have:
7.8, \( \frac{62}{7} \), \( 8 \frac{5}{6} \), \( \frac{89}{9} \).