1. **Problem:** Evaluate \( \frac{1.5 + 2.85}{4.66 - 3.21} \). Step 1: Calculate numerator: \(1.5 + 2.85 = 4.35\). Step 2: Calculate denominator: \(4.66 - 3.21 = 1.45\). Step 3: Divide numerator by denominator: \(\frac{4.35}{1.45} = 3\). 2. **Problem:** Find the exact value of \( \frac{0.432 \times 0.02}{0.024} \). Step 1: Multiply numerator terms: \(0.432 \times 0.02 = 0.00864\). Step 2: Divide by denominator: \(\frac{0.00864}{0.024} = 0.36\). 3. a) **Problem:** Evaluate without a calculator \( \frac{10.02 \times 0.14}{0.7 \times 50.1} \). Step 1: Multiply numerator: \(10.02 \times 0.14 = 1.4028\). Step 2: Multiply denominator: \(0.7 \times 50.1 = 35.07\). Step 3: Divide numerator by denominator: \(\frac{1.4028}{35.07} \approx 0.04\). 3. b) **Problem:** Evaluate using a calculator \( \sqrt{0.749} \). Step 1: Use calculator to find square root: \(\sqrt{0.749} \approx 0.865\). 5. a) **Problem:** Find the exact value of \( \frac{7.5}{2.55 \times 6.3} \times 1.25 \). Step 1: Multiply denominator terms: \(2.55 \times 6.3 = 16.065\). Step 2: Divide numerator by denominator: \(\frac{7.5}{16.065} \approx 0.4669\). Step 3: Multiply by 1.25: \(0.4669 \times 1.25 = 0.5836\). 5. b) **Problem:** Write the answer from 5a correct to 1 decimal place. Step 1: Round \(0.5836\) to 1 decimal place: \(0.6\). 6. **Problem:** Without using a calculator, calculate the exact value of \( \frac{26.32 + 38.8}{13.16 - 11.56} \). Step 1: Add numerator: \(26.32 + 38.8 = 65.12\). Step 2: Subtract denominator: \(13.16 - 11.56 = 1.6\). Step 3: Divide numerator by denominator: \(\frac{65.12}{1.6} = 40.7\). **Final answers:** 1) 3 2) 0.36 3a) 0.04 3b) 0.865 5a) 0.5836 5b) 0.6 6) 40.7