Let's break down and solve each expression step-by-step.
### (a) [tex]\( 11 + 8 \div 2 \)[/tex]
1. First, we handle the division:
[tex]\[
8 \div 2 = 4
\][/tex]
2. Next, add the result to 11:
[tex]\[
11 + 4 = 15
\][/tex]
Thus, the result for (a) is [tex]\( 15.0 \)[/tex].
### (b) [tex]\( 55 - 8 \times 5 \)[/tex]
1. First, we handle the multiplication:
[tex]\[
8 \times 5 = 40
\][/tex]
2. Next, subtract the result from 55:
[tex]\[
55 - 40 = 15
\][/tex]
Thus, the result for (b) is [tex]\( 15 \)[/tex].
### (c) [tex]\( 2 \times 8 + 2 \times 10 \)[/tex]
1. Handle the multiplications:
[tex]\[
2 \times 8 = 16
\][/tex]
[tex]\[
2 \times 10 = 20
\][/tex]
2. Next, add the results:
[tex]\[
16 + 20 = 36
\][/tex]
Thus, the result for (c) is [tex]\( 36 \)[/tex].
### (d) [tex]\( 8 + (3 \times 20) \div 6 \)[/tex]
1. Handle the multiplication within the parentheses:
[tex]\[
3 \times 20 = 60
\][/tex]
2. Next, handle the division:
[tex]\[
60 \div 6 = 10
\][/tex]
3. Finally, add the result to 8:
[tex]\[
8 + 10 = 18
\][/tex]
Thus, the result for (d) is [tex]\( 18.0 \)[/tex].
### (e) [tex]\( 24 - (9 + 21) \div 5 \)[/tex]
1. Handle the addition within the parentheses:
[tex]\[
9 + 21 = 30
\][/tex]
2. Next, handle the division:
[tex]\[
30 \div 5 = 6
\][/tex]
3. Finally, subtract the result from 24:
[tex]\[
24 - 6 = 18
\][/tex]
Thus, the result for (e) is [tex]\( 18.0 \)[/tex].
### (f) [tex]\( 96 - 8 \times (60 - 51) \)[/tex]
1. Handle the subtraction within the parentheses:
[tex]\[
60 - 51 = 9
\][/tex]
2. Next, handle the multiplication:
[tex]\[
8 \times 9 = 72
\][/tex]
3. Finally, subtract the result from 96:
[tex]\[
96 - 72 = 24
\][/tex]
Thus, the result for (f) is [tex]\( 24 \)[/tex].
To summarize, the results are:
- (a) [tex]\( 15.0 \)[/tex]
- (b) [tex]\( 15 \)[/tex]
- (c) [tex]\( 36 \)[/tex]
- (d) [tex]\( 18.0 \)[/tex]
- (e) [tex]\( 18.0 \)[/tex]
- (f) [tex]\( 24 \)[/tex]
