Final answer:
To convert weights in pounds and ounces to the nearest tenth of a kilogram, convert the weights to ounces, multiply by the conversion factor (0.02834952 kg/oz), and round to the nearest tenth.
Step-by-step explanation:
To convert weights in pounds and ounces to the nearest tenth of a kilogram, we need to know the conversion factors. One pound is equivalent to 0.45359237 kilograms, and one ounce is equivalent to 0.02834952 kilograms. Here's how you can convert each weight:
A. 9 pounds 6 ounces
B. 17 pounds 14 ounces
C. 82 pounds 10 ounces
D. 23 pounds 8 ounces
First, convert pounds and ounces into ounces only, then multiply by the conversion factor for ounces to kilograms.
For example, to convert 9 pounds 6 ounces to kilograms:
- Convert pounds to ounces: 9 pounds × 16 ounces/pound = 144 ounces.
- Add the remaining 6 ounces: 144 + 6 = 150 ounces.
- Multiply by the conversion factor: 150 ounces × 0.02834952 kilograms/ounce = 4.252428 kilograms.
- Round to the nearest tenth: 4.252428 rounds to 4.3 kilograms.
Apply the same method to convert B, C, and D to kilograms and round each to the nearest tenth.