Certainly! Let's sort the given values in ascending order. We'll start by converting them all into decimal form:
1. The given value is [tex]\(0.2\)[/tex]. This is already in decimal form.
2. The next value is [tex]\(0.05\)[/tex]. This is also already in decimal form.
3. The next value is [tex]\(7\%\)[/tex]. To convert this percentage into a decimal, we divide by 100:
[tex]\[
7\% = \frac{7}{100} = 0.07
\][/tex]
4. The next value is [tex]\(\frac{3}{10}\)[/tex]. To convert this fraction into a decimal, we divide the numerator by the denominator:
[tex]\[
\frac{3}{10} = 0.3
\][/tex]
5. The last value is [tex]\(\frac{13}{100}\)[/tex]. To convert this fraction into a decimal, we divide the numerator by the denominator:
[tex]\[
\frac{13}{100} = 0.13
\][/tex]
Now we have the following set of values in decimal form:
[tex]\[
0.2, \quad 0.05, \quad 0.07, \quad 0.3, \quad 0.13
\][/tex]
Next, we need to arrange these values in ascending order (from smallest to largest):
- The smallest value is [tex]\(0.05\)[/tex].
- The next smallest value is [tex]\(0.07\)[/tex].
- The next in order is [tex]\(0.13\)[/tex].
- Following that is [tex]\(0.2\)[/tex].
- And finally, the largest value is [tex]\(0.3\)[/tex].
Thus, the values in ascending order are:
[tex]\[
0.05, \quad 0.07, \quad 0.13, \quad 0.2, \quad 0.3
\][/tex]
So, when ordered from smallest to largest, the given values are:
[tex]\(0.05, 0.07, 0.13, 0.2, 0.3\)[/tex]
