Sure, let's analyze and compare each set of expressions step by step.
### Part a)
We need to compare the fractions [tex]\(-\frac{3}{7}\)[/tex] and [tex]\(\frac{6}{-13}\)[/tex].
1. Calculate [tex]\(-\frac{3}{7}\)[/tex]:
[tex]\[
-\frac{3}{7} \approx -0.42857
\][/tex]
2. Calculate [tex]\(\frac{6}{-13}\)[/tex]:
[tex]\[
\frac{6}{-13} \approx -0.46154
\][/tex]
Now let's compare [tex]\(-0.42857\)[/tex] and [tex]\(-0.46154\)[/tex]:
- Since [tex]\(-0.42857 > -0.46154\)[/tex], we have:
[tex]\[
-\frac{3}{7} > \frac{6}{-13}
\][/tex]
So the correct symbol to fill in is [tex]\(>\)[/tex].
### Part b)
We need to compare the expressions [tex]\(49 + (-8) - 7\)[/tex] and [tex]\(9 - (-13) + 12\)[/tex].
1. Calculate [tex]\(49 + (-8) - 7\)[/tex]:
[tex]\[
49 + (-8) - 7 = 49 - 8 - 7 = 34
\][/tex]
2. Calculate [tex]\(9 - (-13) + 12\)[/tex]:
[tex]\[
9 - (-13) + 12 = 9 + 13 + 12 = 34
\][/tex]
Now let's compare [tex]\(34\)[/tex] and [tex]\(34\)[/tex]:
- Since [tex]\(34 = 34\)[/tex], we have:
[tex]\[
49 + (-8) - 7 = 9 - (-13) + 12
\][/tex]
So the correct symbol to fill in is [tex]\(=\)[/tex].
### Part c)
We need to compare the decimals [tex]\(0.8\)[/tex] and [tex]\(0.88\)[/tex].
1. Compare [tex]\(0.8\)[/tex] and [tex]\(0.88\)[/tex]:
[tex]\[
0.8 < 0.88
\][/tex]
So the correct symbol to fill in is [tex]\(<\)[/tex].
### Conclusion
Based on the above steps, we fill in the blanks as follows:
a) [tex]\(-\frac{3}{7}\)[/tex] [tex]\(>\)[/tex] [tex]\(\frac{6}{-13}\)[/tex]
b) [tex]\(49 + (-8) - 7\)[/tex] [tex]\(=\)[/tex] [tex]\(9 - (-13) + 12\)[/tex]
c) [tex]\(0.8\)[/tex] [tex]\(<\)[/tex] [tex]\(0.88\)[/tex]
