Convert the quantity to the indicated units: 26 pounds to kilograms. Waloh: (Mass) ounce (oz) 28 grams (g), 91 pounds (lb) = 0.45 kilograms (kg), ton (T) = 0.9 tonne (t). 28 lb > kg (Round to the nearest hundredth if needed).
The Correct Answer and Explanation is:
To convert 26 pounds (lb) to kilograms (kg), we can use the relationship between pounds and kilograms, which is:
1 pound (lb) ≈ 0.453592 kilograms (kg)
Step-by-step process:
- Write the conversion factor:
We are given that 1 pound equals approximately 0.453592 kilograms. 1 lb=0.453592 kg1 \, \text{lb} = 0.453592 \, \text{kg}1lb=0.453592kg - Set up the conversion:
To convert 26 pounds to kilograms, we multiply 26 by the conversion factor of 0.453592. 26 lb×0.453592 kglb=26×0.45359226 \, \text{lb} \times 0.453592 \, \frac{\text{kg}}{\text{lb}} = 26 \times 0.45359226lb×0.453592lbkg=26×0.453592 - Perform the multiplication: 26×0.453592=11.793392 kg26 \times 0.453592 = 11.793392 \, \text{kg}26×0.453592=11.793392kg
- Round to the nearest hundredth:
The question asks us to round to the nearest hundredth. So, 11.793392 rounds to 11.79 kg.
Conclusion:
Thus, 26 pounds is approximately 11.79 kilograms.
Why the conversion works:
The conversion factor of 0.453592 is derived from the definition of the kilogram in terms of pounds. The kilogram is the base unit of mass in the International System of Units (SI), and pounds are typically used in the imperial system. By using this conversion factor, we are essentially translating between two different measurement systems, ensuring the correct weight conversion.
