Put these numbers in order from least to greatest.

9/15 8 28/35 -8 2/10

1 answer

To compare the numbers, we'll start by converting them into a common format (decimals or simplified fractions) to make it easier to order them.

  1. \( \frac{9}{15} = \frac{3}{5} = 0.6 \)
  2. \( 8 \frac{28}{35} \) can be simplified as follows:
    • First, simplify \( \frac{28}{35} = \frac{4}{5} = 0.8 \).
    • Then, combine with 8: \( 8 + 0.8 = 8.8 \).
  3. \( -8 \) is already in standard form.
  4. \( \frac{2}{10} = \frac{1}{5} = 0.2 \)

Now we have:

  • \( \frac{9}{15} = 0.6 \)
  • \( 8 \frac{28}{35} = 8.8 \)
  • \( -8 = -8 \)
  • \( \frac{2}{10} = 0.2 \)

Now we can order them from least to greatest:

  • \( -8 \)
  • \( 0.2 \) (or \( \frac{2}{10} \))
  • \( 0.6 \) (or \( \frac{9}{15} \))
  • \( 8.8 \) (or \( 8 \frac{28}{35} \))

So, the final order from least to greatest is:

  • \( -8, \frac{2}{10}, \frac{9}{15}, 8 \frac{28}{35} \)