1. The problem is to convert various units of time correctly and verify the given boxed numbers. 2. The formula for unit conversion is: $$\text{value in new units} = \text{value in original units} \times \text{conversion factor}$$ 3. Let's solve each part step-by-step: **a) Convert 3 weeks to days:** - 1 week = 7 days - So, $$3 \text{ weeks} = 3 \times 7 = 21 \text{ days}$$ - The boxed number is 180, which is incorrect. **b) Convert 3 hours to minutes:** - 1 hour = 60 minutes - So, $$3 \text{ hours} = 3 \times 60 = 180 \text{ minutes}$$ - The boxed number is 240, which is incorrect. **c) Convert 4 weeks to days:** - 1 week = 7 days - So, $$4 \text{ weeks} = 4 \times 7 = 28 \text{ days}$$ - The boxed number is 43, which is incorrect. **d) Convert 1/2 hour to minutes:** - 1 hour = 60 minutes - So, $$\frac{1}{2} \text{ hour} = \frac{1}{2} \times 60 = 30 \text{ minutes}$$ - The boxed number is 30, which is correct. **e) Convert one year to months:** - 1 year = 12 months - So, one year = 12 months - The boxed number is 12, which is correct. **f) Convert 1 hour to minutes:** - 1 hour = 60 minutes - So, 1 hour = 60 minutes - The boxed number is 60, which is correct. **g) Convert 1 day to hours:** - 1 day = 24 hours - So, 1 day = 24 hours - The boxed number is 624, which is incorrect. **h) Convert 21 days to weeks:** - 1 week = 7 days - So, $$21 \text{ days} = \frac{21}{7} = 3 \text{ weeks}$$ - The boxed number is 3, which is correct. 4. Summary of correct conversions: - a) 21 days - b) 180 minutes - c) 28 days - d) 30 minutes - e) 12 months - f) 60 minutes - g) 24 hours - h) 3 weeks Final answers are the corrected values above.