Answer :
To order the numbers [tex]\(\frac{1}{10}, 0.9, \frac{3}{10}\)[/tex] from least to greatest, follow these steps:
1. Convert to Decimals (if needed):
- [tex]\(\frac{1}{10} = 0.1\)[/tex]
- [tex]\(0.9\)[/tex] is already a decimal.
- [tex]\(\frac{3}{10} = 0.3\)[/tex]
2. List the Decimal Values:
- Now, we have the following numbers: [tex]\(0.1, 0.9, 0.3\)[/tex].
3. Compare the Numbers:
- [tex]\(0.1\)[/tex] is less than [tex]\(0.3\)[/tex], and [tex]\(0.3\)[/tex] is less than [tex]\(0.9\)[/tex].
4. Order from Least to Greatest:
- Arrange the numbers [tex]\(0.1, 0.3, 0.9\)[/tex] in ascending order.
5. Map Back to Original Numbers (if any were converted):
- [tex]\(0.1\)[/tex] corresponds to [tex]\(\frac{1}{10}\)[/tex].
- [tex]\(0.3\)[/tex] corresponds to [tex]\(\frac{3}{10}\)[/tex].
- [tex]\(0.9\)[/tex] remains [tex]\(0.9\)[/tex].
Thus, the numbers in order from least to greatest are:
[tex]\[\frac{1}{10}, \frac{3}{10}, 0.9\][/tex]
So the correct answer is:
[tex]\[
\frac{1}{10}, \frac{3}{10}, 0.9
\][/tex]
1. Convert to Decimals (if needed):
- [tex]\(\frac{1}{10} = 0.1\)[/tex]
- [tex]\(0.9\)[/tex] is already a decimal.
- [tex]\(\frac{3}{10} = 0.3\)[/tex]
2. List the Decimal Values:
- Now, we have the following numbers: [tex]\(0.1, 0.9, 0.3\)[/tex].
3. Compare the Numbers:
- [tex]\(0.1\)[/tex] is less than [tex]\(0.3\)[/tex], and [tex]\(0.3\)[/tex] is less than [tex]\(0.9\)[/tex].
4. Order from Least to Greatest:
- Arrange the numbers [tex]\(0.1, 0.3, 0.9\)[/tex] in ascending order.
5. Map Back to Original Numbers (if any were converted):
- [tex]\(0.1\)[/tex] corresponds to [tex]\(\frac{1}{10}\)[/tex].
- [tex]\(0.3\)[/tex] corresponds to [tex]\(\frac{3}{10}\)[/tex].
- [tex]\(0.9\)[/tex] remains [tex]\(0.9\)[/tex].
Thus, the numbers in order from least to greatest are:
[tex]\[\frac{1}{10}, \frac{3}{10}, 0.9\][/tex]
So the correct answer is:
[tex]\[
\frac{1}{10}, \frac{3}{10}, 0.9
\][/tex]
