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:
-
Negative \(\frac{2}{8}\) = \(-0.25\) (less than \(-0.125\))
-
Negative \(\frac{3}{8}\) = \(-0.375\) (less than \(-0.125\))
-
Negative \(\frac{4}{8}\) = \(-0.5\) (less than \(-0.125\))
-
Negative \(\frac{5}{8}\) = \(-0.625\) (less than \(-0.125\))
-
\(\frac{1}{8}\) = \(0.125\) (greater than \(-0.125\))
-
\(\frac{2}{8}\) = \(0.25\) (greater than \(-0.125\))
-
\(\frac{3}{8}\) = \(0.375\) (greater than \(-0.125\))
-
One-half = \(0.5\) (greater than \(-0.125\))
-
Negative 1 = \(-1\) (less than \(-0.125\))
-
Negative 1 and \(\frac{1}{8}\) = \(-0.875\) (greater than \(-0.125\))
-
Negative 1 and three-fourths = \(-1.75\) (less than \(-0.125\))
-
Negative 1 and one-half = \(-1.5\) (less than \(-0.125\))
-
Negative \(\frac{1}{4}\) = \(-0.25\) (less than \(-0.125\))
-
Negative \(\frac{3}{4}\) = \(-0.75\) (less than \(-0.125\))
-
Negative \(\frac{4}{4}\) = \(-1\) (less than \(-0.125\))
-
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:
- \(\frac{1}{8}\)
- \(\frac{2}{8}\)
- \(\frac{3}{8}\)
- One-half