Order −0.8, 2

3
, 1, −1
3
from least to greatest.

A number line going from negative 1 to positive 1.

Which order is correct?
Negative 0.8, negative one-third, two-thirds, 1
Negative 0.8, two-thirds, 1, negative one-third
Negative one-third, negative 0.8, two-thirds, 1
1, two-thirds, negative one-third, negative 0.8

1 answer

To order the numbers \(-0.8\), \(\frac{2}{3}\), \(1\), and \(-\frac{1}{3}\) from least to greatest, we can convert all the fractions to decimal form:

  • \(-0.8\) is already in decimal form.
  • \(\frac{2}{3} \approx 0.67\)
  • \(1\) is already in decimal form.
  • \(-\frac{1}{3} \approx -0.33\)

Now, let's list them out:

  1. \(-0.8\) (which is about -0.80)
  2. \(-\frac{1}{3}\) (which is about -0.33)
  3. \(\frac{2}{3}\) (which is about 0.67)
  4. \(1\)

Now we can order them from least to greatest:

  1. \(-0.8\)
  2. \(-\frac{1}{3}\)
  3. \(\frac{2}{3}\)
  4. \(1\)

Thus, the correct order from least to greatest is:

Negative 0.8, negative one-third, two-thirds, 1.

So the first option is the correct one.