Answer :
Sure! Let's put these numbers in order from least to greatest by evaluating them:
1. First, let's understand the numbers we need to sort:
- 0.7
- [tex]\(16 \frac{24}{30}\)[/tex]
- [tex]\(16 \frac{28}{40}\)[/tex]
- -0.5
2. Convert the mixed numbers into decimals:
- [tex]\(16 \frac{24}{30}\)[/tex] means [tex]\(16 + \frac{24}{30}\)[/tex].
- Calculate [tex]\(\frac{24}{30}\)[/tex]: Simplify this fraction and convert it to a decimal if needed.
- [tex]\(\frac{24}{30} = 0.8\)[/tex] after simplification.
- Therefore, [tex]\(16 \frac{24}{30} = 16 + 0.8 = 16.8\)[/tex].
- [tex]\(16 \frac{28}{40}\)[/tex] means [tex]\(16 + \frac{28}{40}\)[/tex].
- Calculate [tex]\(\frac{28}{40}\)[/tex]: Simplify this fraction and convert it to a decimal if needed.
- [tex]\(\frac{28}{40} = 0.7\)[/tex] after simplification.
- Therefore, [tex]\(16 \frac{28}{40} = 16 + 0.7 = 16.7\)[/tex].
3. Now we have the following numbers to sort: -0.5, 0.7, 16.7, and 16.8.
4. Compare these numbers and list them from least to greatest:
- The smallest number is -0.5.
- Then we have 0.7.
- Next is 16.7.
- Finally, 16.8 is the largest.
5. So, the numbers ordered from least to greatest are:
- -0.5, 0.7, 16.7, 16.8
I hope this step-by-step explanation helps!
1. First, let's understand the numbers we need to sort:
- 0.7
- [tex]\(16 \frac{24}{30}\)[/tex]
- [tex]\(16 \frac{28}{40}\)[/tex]
- -0.5
2. Convert the mixed numbers into decimals:
- [tex]\(16 \frac{24}{30}\)[/tex] means [tex]\(16 + \frac{24}{30}\)[/tex].
- Calculate [tex]\(\frac{24}{30}\)[/tex]: Simplify this fraction and convert it to a decimal if needed.
- [tex]\(\frac{24}{30} = 0.8\)[/tex] after simplification.
- Therefore, [tex]\(16 \frac{24}{30} = 16 + 0.8 = 16.8\)[/tex].
- [tex]\(16 \frac{28}{40}\)[/tex] means [tex]\(16 + \frac{28}{40}\)[/tex].
- Calculate [tex]\(\frac{28}{40}\)[/tex]: Simplify this fraction and convert it to a decimal if needed.
- [tex]\(\frac{28}{40} = 0.7\)[/tex] after simplification.
- Therefore, [tex]\(16 \frac{28}{40} = 16 + 0.7 = 16.7\)[/tex].
3. Now we have the following numbers to sort: -0.5, 0.7, 16.7, and 16.8.
4. Compare these numbers and list them from least to greatest:
- The smallest number is -0.5.
- Then we have 0.7.
- Next is 16.7.
- Finally, 16.8 is the largest.
5. So, the numbers ordered from least to greatest are:
- -0.5, 0.7, 16.7, 16.8
I hope this step-by-step explanation helps!
