Question

Which numbers are between the numbers represented by Points A and B on the number line? Check all that apply.


A number line going from negative 1 to 0. Point A is at negative 0.8. Point B is at negative 0.2.
Negative StartFraction 7 Over 10 EndFraction
Negative StartFraction 9 Over 10 EndFraction
Negative one-half
Negative one-fourth
Negative two-fifths

Answer 1

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:

1. **Negative \(\frac{7}{10}\)**: This equals \(-0.7\), which is between \(-0.8\) and \(-0.2\).
2. **Negative \(\frac{9}{10}\)**: This equals \(-0.9\), which is not between \(-0.8\) and \(-0.2\).
3. **Negative one-half (\(-0.5\))**: This is between \(-0.8\) and \(-0.2\).
4. **Negative one-fourth (\(-0.25\))**: This is also between \(-0.8\) and \(-0.2\).
5. **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