Sure, let's solve each part step by step.
### 3. (a)
To find the result of [tex]\(0.000133 \div 8.75\)[/tex]:
[tex]\[ \frac{0.000133}{8.75} = 1.52 \times 10^{-5} \][/tex]
### 3. (b)
To find the result of [tex]\(0.03 \div 0.0008\)[/tex]:
[tex]\[ \frac{0.03}{0.0008} = 37.5 \][/tex]
### 3. (c)
To find the result of [tex]\(0.00217 \div 12.4\)[/tex]:
[tex]\[ \frac{0.00217}{12.4} = 0.000175 \][/tex]
### 4. (a)
To evaluate [tex]\(4.13 \div 7.04\)[/tex] correct to three decimal places:
[tex]\[ \frac{4.13}{7.04} = 0.587 \][/tex]
### 4. (b)
To evaluate [tex]\(0.67 \div 5.08\)[/tex] correct to three decimal places:
[tex]\[ \frac{0.67}{5.08} = 0.132 \][/tex]
### 4. (c)
To evaluate [tex]\(5.872 \div 291.4\)[/tex] correct to three decimal places:
[tex]\[ \frac{5.872}{291.4} = 0.020 \][/tex]
### 5. (a)
To express [tex]\(\frac{8}{13}\)[/tex] as a decimal correct to three decimal places:
[tex]\[ \frac{8}{13} = 0.615 \][/tex]
### 5. (b)
To express [tex]\(\frac{12}{19}\)[/tex] as a decimal correct to three decimal places:
[tex]\[ \frac{12}{19} = 0.632 \][/tex]
### 5. (c)
To express [tex]\(\frac{9}{65}\)[/tex] as a decimal correct to three decimal places:
[tex]\[ \frac{9}{65} = 0.138 \][/tex]
### 5. (d)
To express [tex]\(\frac{80}{97}\)[/tex] as a decimal correct to three decimal places:
[tex]\[ \frac{80}{97} = 0.825 \][/tex]
So, here are your answers:
1. [tex]\(0.000133 \div 8.75 = 1.52 \times 10^{-5}\)[/tex]
2. [tex]\(0.03 \div 0.0008 = 37.5\)[/tex]
3. [tex]\(0.00217 \div 12.4 = 0.000175\)[/tex]
4. [tex]\(4.13 \div 7.04 = 0.587\)[/tex] (correct to three decimal places)
5. [tex]\(0.67 \div 5.08 = 0.132\)[/tex] (correct to three decimal places)
6. [tex]\(5.872 \div 291.4 = 0.020\)[/tex] (correct to three decimal places)
7. [tex]\(\frac{8}{13} = 0.615\)[/tex] (correct to three decimal places)
8. [tex]\(\frac{12}{19} = 0.632\)[/tex] (correct to three decimal places)
9. [tex]\(\frac{9}{65} = 0.138\)[/tex] (correct to three decimal places)
10. [tex]\(\frac{80}{97} = 0.825\)[/tex] (correct to three decimal places)
