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:
- \(-0.8\) (which is about -0.80)
- \(-\frac{1}{3}\) (which is about -0.33)
- \(\frac{2}{3}\) (which is about 0.67)
- \(1\)
Now we can order them from least to greatest:
- \(-0.8\)
- \(-\frac{1}{3}\)
- \(\frac{2}{3}\)
- \(1\)
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.