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Answer :
Final answer:
The correct conversion of 135 pounds to kilograms is 61.2 kg when rounded to the nearest tenth, corresponding to option (a). This conversion is determined using the conversion factor of 0.45359237 kilograms per pound and rounding to the nearest tenth without trailing zeros.
Explanation:
To convert a client's weight from pounds to kilograms, we use the conversion factor that 1 pound is equivalent to approximately 0.45359237 kilograms.
Taking the client's weight of 135 pounds, we multiply by the conversion factor:
135 pounds imes 0.45359237 kg/pound = 61.234 kg
When reporting this in terms with significant figures, we consider the original measurement's precision. Since we are looking for the answer to the nearest tenth or one decimal place, we look at the tenths place (0.1 kg).
Rounding 61.234 kg to the nearest tenth gives us 61.2 kg, as we do not use trailing zeros after the decimal point in significant figures.
Thus, the correct answer is 61.2 kg, which corresponds to option (a).
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