Answer :
To put the given numbers in order from least to greatest, let's list them:
1. [tex]\(\frac{12}{25}\)[/tex]
2. [tex]\(\frac{26}{40}\)[/tex]
3. [tex]\(-\frac{19}{20}\)[/tex]
4. [tex]\(-4\)[/tex]
Now, let's consider the value of each fraction and the integer:
1. [tex]\(\frac{12}{25}\)[/tex] is a positive fraction.
2. [tex]\(\frac{26}{40}\)[/tex] is also a positive fraction.
3. [tex]\(-\frac{19}{20}\)[/tex] is a negative fraction.
4. [tex]\(-4\)[/tex] is a negative integer.
To make it easier to compare, let's convert each fraction to a decimal form:
1. [tex]\(\frac{12}{25} \approx 0.48\)[/tex]
2. [tex]\(\frac{26}{40} \approx 0.65\)[/tex]
3. [tex]\(-\frac{19}{20} \approx -0.95\)[/tex]
Now, we have the following decimal equivalents:
1. [tex]\(0.48\)[/tex] (which was [tex]\(\frac{12}{25}\)[/tex])
2. [tex]\(0.65\)[/tex] (which was [tex]\(\frac{26}{40}\)[/tex])
3. [tex]\(-0.95\)[/tex] (which was [tex]\(-\frac{19}{20}\)[/tex])
4. [tex]\(-4\)[/tex] (which remains [tex]\(-4\)[/tex])
When we compare these numbers, we start with the most negative value and move to the most positive:
1. [tex]\(-4\)[/tex]
2. [tex]\(-0.95\)[/tex]
3. [tex]\(0.48\)[/tex]
4. [tex]\(0.65\)[/tex]
Hence, when we convert these back to their original fractional and integer forms:
1. [tex]\(-4\)[/tex]
2. [tex]\(-\frac{19}{20}\)[/tex]
3. [tex]\(\frac{12}{25}\)[/tex]
4. [tex]\(\frac{26}{40}\)[/tex]
So, when ordered from least to greatest, the numbers are:
1. [tex]\(-4\)[/tex]
2. [tex]\(-\frac{19}{20}\)[/tex]
3. [tex]\(\frac{12}{25}\)[/tex]
4. [tex]\(\frac{26}{40}\)[/tex]
1. [tex]\(\frac{12}{25}\)[/tex]
2. [tex]\(\frac{26}{40}\)[/tex]
3. [tex]\(-\frac{19}{20}\)[/tex]
4. [tex]\(-4\)[/tex]
Now, let's consider the value of each fraction and the integer:
1. [tex]\(\frac{12}{25}\)[/tex] is a positive fraction.
2. [tex]\(\frac{26}{40}\)[/tex] is also a positive fraction.
3. [tex]\(-\frac{19}{20}\)[/tex] is a negative fraction.
4. [tex]\(-4\)[/tex] is a negative integer.
To make it easier to compare, let's convert each fraction to a decimal form:
1. [tex]\(\frac{12}{25} \approx 0.48\)[/tex]
2. [tex]\(\frac{26}{40} \approx 0.65\)[/tex]
3. [tex]\(-\frac{19}{20} \approx -0.95\)[/tex]
Now, we have the following decimal equivalents:
1. [tex]\(0.48\)[/tex] (which was [tex]\(\frac{12}{25}\)[/tex])
2. [tex]\(0.65\)[/tex] (which was [tex]\(\frac{26}{40}\)[/tex])
3. [tex]\(-0.95\)[/tex] (which was [tex]\(-\frac{19}{20}\)[/tex])
4. [tex]\(-4\)[/tex] (which remains [tex]\(-4\)[/tex])
When we compare these numbers, we start with the most negative value and move to the most positive:
1. [tex]\(-4\)[/tex]
2. [tex]\(-0.95\)[/tex]
3. [tex]\(0.48\)[/tex]
4. [tex]\(0.65\)[/tex]
Hence, when we convert these back to their original fractional and integer forms:
1. [tex]\(-4\)[/tex]
2. [tex]\(-\frac{19}{20}\)[/tex]
3. [tex]\(\frac{12}{25}\)[/tex]
4. [tex]\(\frac{26}{40}\)[/tex]
So, when ordered from least to greatest, the numbers are:
1. [tex]\(-4\)[/tex]
2. [tex]\(-\frac{19}{20}\)[/tex]
3. [tex]\(\frac{12}{25}\)[/tex]
4. [tex]\(\frac{26}{40}\)[/tex]