To order the numbers \(-\frac{3}{4}\), \(\frac{3}{8}\), \(-\frac{11}{8}\), and \(-\frac{1}{2}\) from least to greatest, let's first convert them into decimal or consistent fractional forms for easier comparison:
- \(-\frac{3}{4} = -0.75\)
- \(\frac{3}{8} = 0.375\)
- \(-\frac{11}{8} = -1.375\)
- \(-\frac{1}{2} = -0.5\)
Now we compare the numbers:
- The smallest is \(-\frac{11}{8} = -1.375\)
- Next is \(-\frac{3}{4} = -0.75\)
- Then is \(-\frac{1}{2} = -0.5\)
- Finally, the largest is \(\frac{3}{8} = 0.375\)
Putting these in order from least to greatest gives us:
\[ -\frac{11}{8}, , -\frac{3}{4}, , -\frac{1}{2}, , \frac{3}{8} \]
Now, checking the answer choices against this ordering:
- Negative 1 and \(\frac{3}{8}\), -1 and \(\frac{1}{8}\), negative three-fourths, negative one-half
- Negative one-half, negative three-fourths, negative 1 and one-eighth, \(\frac{3}{8}\)
- \(\frac{3}{8}\), negative 1 and \(\frac{1}{8}\), negative three-fourths, negative one-half
None of the provided answers directly present the correct ordering.
The correct order, as noted as \( -\frac{11}{8}, -\frac{3}{4}, -\frac{1}{2}, \frac{3}{8} \) can be summarized as:
- An option isn't provided that matches this order.
If I had to choose the closest in terms of correct values:
-1 and \(\frac{3}{8}\), -1 and \(\frac{1}{8}\), negative three-fourths, negative one-half seems incorrect as it does not follow the order.
Thus, there seems to be an error or mismatch in the options provided against the correct ordering.
Final Ordering:
- \(-\frac{11}{8}, -\frac{3}{4}, -\frac{1}{2}, \frac{3}{8}\) .
3 answers