1. **Problem b:** Evaluate $$\frac{| -\sqrt{38} |}{\text{trunc}(1.3) | -1.53 | \sqrt{|1|}}$$ 2. **Step 1:** Calculate the numerator: $$| -\sqrt{38} | = \sqrt{38}$$ 3. **Step 2:** Calculate the denominator components: - $$\text{trunc}(1.3) = 1$$ (truncation removes decimal part) - $$| -1.53 | = 1.53$$ - $$\sqrt{|1|} = \sqrt{1} = 1$$ 4. **Step 3:** Multiply denominator parts: $$1 \times 1.53 \times 1 = 1.53$$ 5. **Step 4:** Divide numerator by denominator: $$\frac{\sqrt{38}}{1.53}$$ 6. **Step 5:** Approximate $$\sqrt{38} \approx 6.1644$$ 7. **Step 6:** Final value: $$\frac{6.1644}{1.53} \approx 4.03$$ --- 1. **Problem c:** Evaluate $$\text{trunc} \frac{|1.8|}{4} + \left(|-4.1| \times \left|6 - \sqrt{9.6}\right|\right)$$ 2. **Step 1:** Calculate inside truncation: $$\frac{|1.8|}{4} = \frac{1.8}{4} = 0.45$$ 3. **Step 2:** Apply truncation: $$\text{trunc}(0.45) = 0$$ 4. **Step 3:** Calculate absolute values: - $$|-4.1| = 4.1$$ - Calculate $$\sqrt{9.6} \approx 3.0984$$ - Calculate $$|6 - 3.0984| = |2.9016| = 2.9016$$ 5. **Step 4:** Multiply: $$4.1 \times 2.9016 = 11.8966$$ 6. **Step 5:** Add truncation result: $$0 + 11.8966 = 11.8966$$ **Final answers:** - b) $$\approx 4.03$$ - c) $$\approx 11.90$$