Question

Which represents the numbers in order from least to greatest?
9%, 9/10, -9/1

A. -9/1, 9/10, 9%, 9
B. -9/1, 9%, 9/10, 9
C. 9%, 9/10, -9/1, 9
D. 9%, -9/1, 9/10, 9

Answer 1

To compare the numbers \( 9\% \), \( \frac{9}{10} \), and \( -\frac{9}{1} \), we should convert them into a common format, such as decimal form.

1. **Convert \( 9\% \)**:
\[
9\% = \frac{9}{100} = 0.09
\]

2. **Convert \( \frac{9}{10} \)**:
\[
\frac{9}{10} = 0.9
\]

3. **Convert \( -\frac{9}{1} \)**:
\[
-\frac{9}{1} = -9
\]

Now, we have the following values:
- \( -9 \) (which is \( -\frac{9}{1} \))
- \( 0.09 \) (which is \( 9\% \))
- \( 0.9 \) (which is \( \frac{9}{10} \))

Now, let's order these numbers from least to greatest:
1. \( -9 \)
2. \( 0.09 \)
3. \( 0.9 \)

Thus, the ordered list is:
\[
-9, 9\%, \frac{9}{10}
\]

Now, let's match this with the provided options:
A. \( -\frac{9}{1}, \frac{9}{10}, 9\%, 9 \) (incorrect order)
B. \( -\frac{9}{1}, 9\%, \frac{9}{10}, 9 \) (correct order)
C. \( 9\%, \frac{9}{10}, -\frac{9}{1}, 9 \) (incorrect order)
D. \( 9\%, -\frac{9}{1}, \frac{9}{10}, 9 \) (incorrect order)

The correct answer is:
**B. -9/1, 9%, 9/10, 9**.