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Answer :
The resulting rounded figure is 74.8 kilograms.
To convert 165 pounds to kilograms, we use the given conversion factor 1 kilogram = 2.205 pounds. We start by dividing the weight in pounds by the equivalent weight of one kilogram in pounds:
165 / 2.205 = 74.8299319727891...
To round to the nearest tenth, we will look at the number in the hundredths place. Since the hundredths value (2) is less than 5, the tenths value (8) remains the same, and the resulting rounded figure is 74.8 kilograms.
Rounding to the nearest tenth ensures that the conversion aligns with the rule of significant figures. Since the least precise measurement in our conversion is to the tenths place, our final answer must also be expressed to the 0.1 decimal place.
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Final answer:
To convert 165 pounds to kilograms, first divide 165 by 2.205, which gives approximately 74.83 kilograms. Rounded to the nearest tenth, 165 pounds is approximately 74.8 kilograms.
Explanation:
To convert pounds to kilograms, you use the conversion factor that 1 kilogram = 2.205 pounds. In doing so, we need to divide the amount in pounds by the conversion factor to get the measurement in kilograms.
Step-by-step process:
- Implement the conversion factor: 1 kilogram = 2.205 pounds
 - Since we want to convert 165 pounds to kilograms, we will divide 165 by 2.205.
 - Performing this division gives a result of approximately 74.83 kilograms.
 - Round this number to the nearest tenth: 74.8 kilograms.
 
So, 165 pounds is approximately 74.8 kilograms when rounded to the nearest tenth.
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