Alright, let's work through the given division problems and find the quotients step-by-step.
### Basic Facts to 4
#### 1. Complete the following divisions:
1. [tex]\( \frac{1}{4} = 0.25 \)[/tex]
2. [tex]\( \frac{2}{4} = 0.5 \)[/tex]
3. [tex]\( \frac{3}{9} \approx 0.333 \)[/tex] (also written as [tex]\(\frac{1}{3}\)[/tex])
4. [tex]\( \frac{1}{9} \approx 0.111 \)[/tex]
5. [tex]\( \frac{4}{28} \approx 0.143 \)[/tex]
#### 2. Complete the following divisions:
1. [tex]\( \frac{3}{6} = 0.5 \)[/tex]
2. [tex]\( \frac{2}{12} \approx 0.167 \)[/tex]
3. [tex]\( \frac{2}{10} = 0.2 \)[/tex]
4. [tex]\( \frac{4}{16} = 0.25 \)[/tex]
5. [tex]\( \frac{3}{15} = 0.2 \)[/tex]
#### 3. Complete the following divisions:
1. [tex]\( \frac{4}{20} = 0.2 \)[/tex]
2. [tex]\( \frac{3}{18} \approx 0.167 \)[/tex]
3. [tex]\( \frac{2}{16} = 0.125 \)[/tex]
4. [tex]\( \frac{2}{8} = 0.25 \)[/tex]
5. [tex]\( \frac{4}{36} \approx 0.111 \)[/tex]
#### 4. Complete the following divisions:
1. [tex]\( \frac{3}{27} \approx 0.111 \)[/tex]
2. [tex]\( \frac{4}{32} = 0.125 \)[/tex]
3. [tex]\( \frac{1}{7} \approx 0.143 \)[/tex]
4. [tex]\( \frac{3}{21} \approx 0.143 \)[/tex]
5. [tex]\( \frac{3}{12} = 0.25 \)[/tex]
### Find the Quotients
#### 5.
1. [tex]\( 8 \div 2 = 4.0 \)[/tex]
2. [tex]\( 14 \div 2 = 7.0 \)[/tex]
3. [tex]\( 24 \div 3 = 8.0 \)[/tex]
#### 6.
1. [tex]\( 18 \div 2 = 9.0 \)[/tex]
2. [tex]\( 24 \div 4 = 6.0 \)[/tex]
3. [tex]\( 10 \div 2 = 5.0 \)[/tex]
### Table Results
#### Fractions in Tabular Form
#### 7.
1. [tex]\( \frac{9}{3} = 3.0 \)[/tex]
2. [tex]\( \frac{24}{3} = 8.0 \)[/tex]
3. [tex]\( \frac{3}{3} = 1.0 \)[/tex]
4. [tex]\( \frac{15}{3} = 5.0 \)[/tex]
5. [tex]\( \frac{12}{3} = 4.0 \)[/tex]
6. [tex]\( \frac{18}{3} = 6.0 \)[/tex]
7. [tex]\( \frac{27}{3} = 9.0 \)[/tex]
8. [tex]\( \frac{21}{3} = 7.0 \)[/tex]
#### 8.
1. [tex]\( \frac{16}{4} = 4.0 \)[/tex]
2. [tex]\( \frac{4}{4} = 1.0 \)[/tex]
3. [tex]\( \frac{4}{4} = 1.0 \)[/tex]
4. [tex]\( \frac{28}{4} = 7.0 \)[/tex]
5. [tex]\( \frac{36}{4} = 9.0 \)[/tex]
6. [tex]\( \frac{8}{4} = 2.0 \)[/tex]
7. [tex]\( \frac{32}{4} = 8.0 \)[/tex]
8. [tex]\( \frac{20}{4} = 5.0 \)[/tex]
9. [tex]\( \frac{24}{4} = 6.0 \)[/tex]
#### 9.
1. [tex]\( \frac{6}{2} = 3.0 \)[/tex]
2. [tex]\( \frac{18}{2} = 9.0 \)[/tex]
3. [tex]\( \frac{4}{2} = 2.0 \)[/tex]
4. [tex]\( \frac{14}{2} = 7.0 \)[/tex]
5. [tex]\( \frac{10}{2} = 5.0 \)[/tex]
6. [tex]\( \frac{8}{2} = 4.0 \)[/tex]
7. [tex]\( \frac{12}{2} = 6.0 \)[/tex]
8. [tex]\( \frac{2}{2} = 1.0 \)[/tex]
### Special Case
10. A special value is given as:
- Extra value: [tex]\( 81 \)[/tex]
This completes the problem-solving exercise. These results illustrate various division operations and their quotients.
