Let's solve each division step-by-step:
### Division Problems
1. [tex]$-56 \div (-8)$[/tex]
2. [tex]$-81 \div (-9)$[/tex]
3. [tex]$-35 \div (5)$[/tex]
4. [tex]$54 \div (9)$[/tex]
### Results
Let's find the results of each division:
#### 1. [tex]$-56 \div (-8)$[/tex]
When you divide [tex]$-56$[/tex] by [tex]$-8$[/tex], the result is:
[tex]\[ -56 \div (-8) = 7 \][/tex]
#### 2. [tex]$-81 \div (-9)$[/tex]
When you divide [tex]$-81$[/tex] by [tex]$-9$[/tex], the result is:
[tex]\[ -81 \div (-9) = 9 \][/tex]
#### 3. [tex]$-35 \div (5)$[/tex]
When you divide [tex]$-35$[/tex] by [tex]$5$[/tex], the result is:
[tex]\[ -35 \div (5) = -7 \][/tex]
#### 4. [tex]$54 \div (9)$[/tex]
When you divide [tex]$54$[/tex] by [tex]$9$[/tex], the result is:
[tex]\[ 54 \div (9) = 6 \][/tex]
### Comparing Results with Given Options
Now we compare these results with the provided options:
- a. [tex]$-7$[/tex]
- b. [tex]$9$[/tex]
- c. [tex]$7$[/tex]
- d. [tex]$-6$[/tex]
Here is the matching:
1. [tex]$-56 \div (-8) = 7$[/tex] which matches option (c) = [tex]$7$[/tex]
2. [tex]$-81 \div (-9) = 9$[/tex] which matches option (b) = [tex]$9$[/tex]
3. [tex]$-35 \div (5) = -7$[/tex] which matches option (a) = [tex]$-7$[/tex]
4. [tex]$54 \div (9) = 6$[/tex] (though none of the provided options) This result reflects the correct calculation.
This concludes our step-by-step resolution of each division problem, and matching with the provided potential answers.
