Answer :
To compare the expressions [tex]\(82 \times \frac{14}{9}\)[/tex] and [tex]\(82 \times \frac{8}{9}\)[/tex], let's break it down:
1. Calculate the first expression:
- Multiply 82 by [tex]\(\frac{14}{9}\)[/tex].
- This results in [tex]\(\frac{82 \times 14}{9}\)[/tex], which equals approximately 127.56 when calculated.
2. Calculate the second expression:
- Multiply 82 by [tex]\(\frac{8}{9}\)[/tex].
- This results in [tex]\(\frac{82 \times 8}{9}\)[/tex], which equals approximately 72.89 when calculated.
3. Compare the results:
- We found that 127.56 is greater than 72.89.
Therefore, the symbol that correctly compares the two expressions is [tex]\(>\)[/tex]. That is, [tex]\(82 \times \frac{14}{9} > 82 \times \frac{8}{9}\)[/tex].
1. Calculate the first expression:
- Multiply 82 by [tex]\(\frac{14}{9}\)[/tex].
- This results in [tex]\(\frac{82 \times 14}{9}\)[/tex], which equals approximately 127.56 when calculated.
2. Calculate the second expression:
- Multiply 82 by [tex]\(\frac{8}{9}\)[/tex].
- This results in [tex]\(\frac{82 \times 8}{9}\)[/tex], which equals approximately 72.89 when calculated.
3. Compare the results:
- We found that 127.56 is greater than 72.89.
Therefore, the symbol that correctly compares the two expressions is [tex]\(>\)[/tex]. That is, [tex]\(82 \times \frac{14}{9} > 82 \times \frac{8}{9}\)[/tex].
