Question

A huge wave came along and sent four gold coins into the air. Which four numbers are greater than
−1
8
?

Negative StartFraction 2 Over 8 EndFraction, negative StartFraction 3 Over 8 EndFraction, negative StartFraction 4 Over 8 EndFraction, Negative StartFraction 5 Over 8 EndFraction
StartFraction 1 Over 8 EndFraction, StartFraction 2 Over 8 EndFraction, StartFraction 3 Over 8 EndFraction, one-half
Negative 1 and StartFraction 1 Over 8 EndFraction, negative 1 and three-fourths, negative 1 and one-half, negative 1
Negative one-fourth, negative three-fourths, negative StartFraction 4 Over 4 EndFraction, negative 1 and one-fourth

Answer 1

To determine which four numbers are greater than \(-\frac{1}{8}\), let's first convert \(-\frac{1}{8}\) to a decimal for easier comparisons.

\(-\frac{1}{8} = -0.125\)

Now, we can compare the given numbers:

1. **Negative \(\frac{2}{8}\)** = \(-0.25\) (less than \(-0.125\))
2. **Negative \(\frac{3}{8}\)** = \(-0.375\) (less than \(-0.125\))
3. **Negative \(\frac{4}{8}\)** = \(-0.5\) (less than \(-0.125\))
4. **Negative \(\frac{5}{8}\)** = \(-0.625\) (less than \(-0.125\))

5. **\(\frac{1}{8}\)** = \(0.125\) (greater than \(-0.125\))
6. **\(\frac{2}{8}\)** = \(0.25\) (greater than \(-0.125\))
7. **\(\frac{3}{8}\)** = \(0.375\) (greater than \(-0.125\))
8. **One-half** = \(0.5\) (greater than \(-0.125\))

9. **Negative 1** = \(-1\) (less than \(-0.125\))
10. **Negative 1 and \(\frac{1}{8}\)** = \(-0.875\) (greater than \(-0.125\))
11. **Negative 1 and three-fourths** = \(-1.75\) (less than \(-0.125\))
12. **Negative 1 and one-half** = \(-1.5\) (less than \(-0.125\))

13. **Negative \(\frac{1}{4}\)** = \(-0.25\) (less than \(-0.125\))
14. **Negative \(\frac{3}{4}\)** = \(-0.75\) (less than \(-0.125\))
15. **Negative \(\frac{4}{4}\)** = \(-1\) (less than \(-0.125\))
16. **Negative \(\frac{1}{4}\)** = \(-0.25\) (less than \(-0.125\))

From this evaluation, the four numbers that are greater than \(-\frac{1}{8}\) are:

- \(\frac{1}{8}\)
- \(\frac{2}{8}\)
- \(\frac{3}{8}\)
- One-half

Thus, the final answer is:

1. \(\frac{1}{8}\)
2. \(\frac{2}{8}\)
3. \(\frac{3}{8}\)
4. One-half