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Answer :
To order the numbers from greatest to least, follow these steps:
1. Convert Mixed Numbers to Decimal Form:
- The number [tex]\(-2 \frac{6}{20}\)[/tex] can be converted to a decimal. Convert the fraction [tex]\(\frac{6}{20}\)[/tex] to a decimal by dividing 6 by 20, which gives 0.3. Since the whole number part is negative, the full number is [tex]\(-2.3\)[/tex].
- The number [tex]\(2 \frac{27}{30}\)[/tex] can also be converted to a decimal. Convert the fraction [tex]\(\frac{27}{30}\)[/tex] to a decimal by dividing 27 by 30, which gives 0.9. Therefore, the full number is [tex]\(2.9\)[/tex].
- The number 2 is already in decimal form.
2. List the Decimal Values:
- [tex]\(-2.3\)[/tex]
- [tex]\(2.9\)[/tex]
- [tex]\(2\)[/tex]
3. Order the Numbers from Greatest to Least:
- Compare the decimal values to order them: [tex]\(2.9\)[/tex], [tex]\(2\)[/tex], [tex]\(-2.3\)[/tex].
Based on the comparison, the numbers ordered from greatest to least are:
[tex]\(2 \frac{27}{30}\)[/tex], [tex]\(2\)[/tex], [tex]\(-2 \frac{6}{20}\)[/tex].
1. Convert Mixed Numbers to Decimal Form:
- The number [tex]\(-2 \frac{6}{20}\)[/tex] can be converted to a decimal. Convert the fraction [tex]\(\frac{6}{20}\)[/tex] to a decimal by dividing 6 by 20, which gives 0.3. Since the whole number part is negative, the full number is [tex]\(-2.3\)[/tex].
- The number [tex]\(2 \frac{27}{30}\)[/tex] can also be converted to a decimal. Convert the fraction [tex]\(\frac{27}{30}\)[/tex] to a decimal by dividing 27 by 30, which gives 0.9. Therefore, the full number is [tex]\(2.9\)[/tex].
- The number 2 is already in decimal form.
2. List the Decimal Values:
- [tex]\(-2.3\)[/tex]
- [tex]\(2.9\)[/tex]
- [tex]\(2\)[/tex]
3. Order the Numbers from Greatest to Least:
- Compare the decimal values to order them: [tex]\(2.9\)[/tex], [tex]\(2\)[/tex], [tex]\(-2.3\)[/tex].
Based on the comparison, the numbers ordered from greatest to least are:
[tex]\(2 \frac{27}{30}\)[/tex], [tex]\(2\)[/tex], [tex]\(-2 \frac{6}{20}\)[/tex].
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