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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

1 answer

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