Answer :
Let's break down each problem step by step and solve them accordingly.
### Problem Set 3
1. [tex]\( 3) \ (10) \times (-2) \)[/tex]:
- Multiply 10 by -2.
- [tex]\[ 10 \times -2 = -20 \][/tex]
2. [tex]\( 13) \ (-11) \times (-3) \times 2 \)[/tex]:
- Multiply -11 by -3, result is 33 (since negative times negative is positive).
- Then multiply the result by 2.
- [tex]\[ -11 \times -3 = 33 \][/tex]
- [tex]\[ 33 \times 2 = 66 \][/tex]
3. [tex]\( 23) \ \frac{15}{-3} \)[/tex]:
- Divide 15 by -3.
- [tex]\[ \frac{15}{-3} = -5.0 \][/tex]
### Problem Set 4
1. [tex]\( 4) \ (-3) \times 5 \)[/tex]:
- Multiply -3 by 5.
- [tex]\[ -3 \times 5 = -15 \][/tex]
2. [tex]\( 14) \ 4 \times (-2) \)[/tex]:
- Multiply 4 by -2.
- [tex]\[ 4 \times -2 = -8 \][/tex]
3. [tex]\( 24) \ \frac{18}{-2} \)[/tex]:
- Divide 18 by -2.
- [tex]\[ \frac{18}{-2} = -9.0 \][/tex]
### Problem Set 5
1. [tex]\( 5) \ 6 \times (-3) \)[/tex]:
- Multiply 6 by -3.
- [tex]\[ 6 \times -3 = -18 \][/tex]
2. [tex]\( 15) \ (-4) \times (-5) \times 3 \)[/tex]:
- Multiply -4 by -5, result is 20 (since negative times negative is positive).
- Then multiply the result by 3.
- [tex]\[ -4 \times -5 = 20 \][/tex]
- [tex]\[ 20 \times 3 = 60 \][/tex]
3. [tex]\( 25) \ \frac{14 \times (-2)}{-4} \)[/tex]:
- Multiply 14 by -2, result is -28.
- Then divide -28 by -4.
- [tex]\[ 14 \times -2 = -28 \][/tex]
- [tex]\[ \frac{-28}{-4} = 7.0 \][/tex]
### Problem Set 6
1. [tex]\( 6) \ (-12) \times (-3) \)[/tex]:
- Multiply -12 by -3.
- [tex]\[ -12 \times -3 = 36 \][/tex]
2. [tex]\( 16) \ \frac{-14}{2} \)[/tex]:
- Divide -14 by 2.
- [tex]\[ \frac{-14}{2} = -7.0 \][/tex]
3. [tex]\( 26) \ \frac{25 \times 2}{-10} \)[/tex]:
- Multiply 25 by 2, result is 50.
- Then divide 50 by -10.
- [tex]\[ 25 \times 2 = 50 \][/tex]
- [tex]\[ \frac{50}{-10} = -5.0 \][/tex]
### Problem Set 7
1. [tex]\( 7) \ (-12) \times 9 - 5 \)[/tex]:
- Multiply -12 by 9, result is -108.
- Then subtract 5.
- [tex]\[ -12 \times 9 = -108 \][/tex]
- [tex]\[ -108 - 5 = -113 \][/tex]
2. [tex]\( 17) \ \frac{-8}{4} \)[/tex]:
- Divide -8 by 4.
- [tex]\[ \frac{-8}{4} = -2.0 \][/tex]
3. [tex]\( 27) \ \frac{30 \times 3}{6} \)[/tex]:
- Multiply 30 by 3, result is 90.
- Then divide 90 by 6.
- [tex]\[ 30 \times 3 = 90 \][/tex]
- [tex]\[ \frac{90}{6} = 15.0 \][/tex]
### Problem Set 8
1. [tex]\( 8) \ (+6) \times (-6) \)[/tex]:
- Multiply 6 by -6.
- [tex]\[ 6 \times -6 = -36 \][/tex]
2. [tex]\( 18) \ \frac{20}{-2} \)[/tex]:
- Divide 20 by -2.
- [tex]\[ \frac{20}{-2} = -10.0 \][/tex]
3. [tex]\( 28) \ \frac{(-40) \times 2}{-5} \)[/tex]:
- Multiply -40 by 2, result is -80.
- Then divide -80 by -5.
- [tex]\[ -40 \times 2 = -80 \][/tex]
- [tex]\[ \frac{-80}{-5} = 16.0 \][/tex]
The final results are:
[tex]\[ \begin{array}{|c|c|c|} \hline 3) & -20 & 13) & 66 & 23) & -5.0 \\ \hline 4) & -15 & 14) & -8 & 24) & -9.0 \\ \hline 5) & -18 & 15) & 60 & 25) & 7.0 \\ \hline 6) & 36 & 16) & -7.0 & 26) & -5.0 \\ \hline 7) & -113 & 17) & -2.0 & 27) & 15.0 \\ \hline 8) & -36 & 18) & -10.0 & 28) & 16.0 \\ \hline \end{array} \][/tex]
### Problem Set 3
1. [tex]\( 3) \ (10) \times (-2) \)[/tex]:
- Multiply 10 by -2.
- [tex]\[ 10 \times -2 = -20 \][/tex]
2. [tex]\( 13) \ (-11) \times (-3) \times 2 \)[/tex]:
- Multiply -11 by -3, result is 33 (since negative times negative is positive).
- Then multiply the result by 2.
- [tex]\[ -11 \times -3 = 33 \][/tex]
- [tex]\[ 33 \times 2 = 66 \][/tex]
3. [tex]\( 23) \ \frac{15}{-3} \)[/tex]:
- Divide 15 by -3.
- [tex]\[ \frac{15}{-3} = -5.0 \][/tex]
### Problem Set 4
1. [tex]\( 4) \ (-3) \times 5 \)[/tex]:
- Multiply -3 by 5.
- [tex]\[ -3 \times 5 = -15 \][/tex]
2. [tex]\( 14) \ 4 \times (-2) \)[/tex]:
- Multiply 4 by -2.
- [tex]\[ 4 \times -2 = -8 \][/tex]
3. [tex]\( 24) \ \frac{18}{-2} \)[/tex]:
- Divide 18 by -2.
- [tex]\[ \frac{18}{-2} = -9.0 \][/tex]
### Problem Set 5
1. [tex]\( 5) \ 6 \times (-3) \)[/tex]:
- Multiply 6 by -3.
- [tex]\[ 6 \times -3 = -18 \][/tex]
2. [tex]\( 15) \ (-4) \times (-5) \times 3 \)[/tex]:
- Multiply -4 by -5, result is 20 (since negative times negative is positive).
- Then multiply the result by 3.
- [tex]\[ -4 \times -5 = 20 \][/tex]
- [tex]\[ 20 \times 3 = 60 \][/tex]
3. [tex]\( 25) \ \frac{14 \times (-2)}{-4} \)[/tex]:
- Multiply 14 by -2, result is -28.
- Then divide -28 by -4.
- [tex]\[ 14 \times -2 = -28 \][/tex]
- [tex]\[ \frac{-28}{-4} = 7.0 \][/tex]
### Problem Set 6
1. [tex]\( 6) \ (-12) \times (-3) \)[/tex]:
- Multiply -12 by -3.
- [tex]\[ -12 \times -3 = 36 \][/tex]
2. [tex]\( 16) \ \frac{-14}{2} \)[/tex]:
- Divide -14 by 2.
- [tex]\[ \frac{-14}{2} = -7.0 \][/tex]
3. [tex]\( 26) \ \frac{25 \times 2}{-10} \)[/tex]:
- Multiply 25 by 2, result is 50.
- Then divide 50 by -10.
- [tex]\[ 25 \times 2 = 50 \][/tex]
- [tex]\[ \frac{50}{-10} = -5.0 \][/tex]
### Problem Set 7
1. [tex]\( 7) \ (-12) \times 9 - 5 \)[/tex]:
- Multiply -12 by 9, result is -108.
- Then subtract 5.
- [tex]\[ -12 \times 9 = -108 \][/tex]
- [tex]\[ -108 - 5 = -113 \][/tex]
2. [tex]\( 17) \ \frac{-8}{4} \)[/tex]:
- Divide -8 by 4.
- [tex]\[ \frac{-8}{4} = -2.0 \][/tex]
3. [tex]\( 27) \ \frac{30 \times 3}{6} \)[/tex]:
- Multiply 30 by 3, result is 90.
- Then divide 90 by 6.
- [tex]\[ 30 \times 3 = 90 \][/tex]
- [tex]\[ \frac{90}{6} = 15.0 \][/tex]
### Problem Set 8
1. [tex]\( 8) \ (+6) \times (-6) \)[/tex]:
- Multiply 6 by -6.
- [tex]\[ 6 \times -6 = -36 \][/tex]
2. [tex]\( 18) \ \frac{20}{-2} \)[/tex]:
- Divide 20 by -2.
- [tex]\[ \frac{20}{-2} = -10.0 \][/tex]
3. [tex]\( 28) \ \frac{(-40) \times 2}{-5} \)[/tex]:
- Multiply -40 by 2, result is -80.
- Then divide -80 by -5.
- [tex]\[ -40 \times 2 = -80 \][/tex]
- [tex]\[ \frac{-80}{-5} = 16.0 \][/tex]
The final results are:
[tex]\[ \begin{array}{|c|c|c|} \hline 3) & -20 & 13) & 66 & 23) & -5.0 \\ \hline 4) & -15 & 14) & -8 & 24) & -9.0 \\ \hline 5) & -18 & 15) & 60 & 25) & 7.0 \\ \hline 6) & 36 & 16) & -7.0 & 26) & -5.0 \\ \hline 7) & -113 & 17) & -2.0 & 27) & 15.0 \\ \hline 8) & -36 & 18) & -10.0 & 28) & 16.0 \\ \hline \end{array} \][/tex]