To determine which numbers are between Points A and B on the number line, we first need to identify the numerical values of these points:
- Point A is at \(-0.8\) (or \(-\frac{8}{10}\)).
- Point B is at \(-0.2\) (or \(-\frac{2}{10}\)).
Next, we need to check which numbers fall between \(-0.8\) and \(-0.2\). The range of numbers that qualify as being between the two points must be greater than \(-0.8\) and less than \(-0.2\).
Now let’s analyze the options provided:
- Negative \(\frac{7}{10}\): This equals \(-0.7\), which is between \(-0.8\) and \(-0.2\).
- Negative \(\frac{9}{10}\): This equals \(-0.9\), which is not between \(-0.8\) and \(-0.2\).
- Negative one-half (\(-0.5\)): This is between \(-0.8\) and \(-0.2\).
- Negative one-fourth (\(-0.25\)): This is also between \(-0.8\) and \(-0.2\).
- Negative two-fifths (\(-0.4\)): This is between \(-0.8\) and \(-0.2\).
Thus, the numbers that fall between Points A and B are:
- Negative \(\frac{7}{10}\) (yes)
- Negative one-half (yes)
- Negative one-fourth (yes)
- Negative two-fifths (yes)
The only number that does not fall between these two points is Negative \(\frac{9}{10}\).
So, the correct answers are:
- Negative \(\frac{7}{10}\)
- Negative one-half
- Negative one-fourth
- Negative two-fifths