Question

use the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated.
490 lb to kg

490 lb → kg (round to the nearest hundredth as needed.)

Explanation:

Step1: Recall the conversion factor

We know that \( 1\space\text{lb} \approx 0.453592\space\text{kg} \). To convert pounds to kilograms, we multiply the number of pounds by this conversion factor.

Step2: Perform the multiplication

We have \( 490\space\text{lb} \), so we calculate \( 490\times0.453592 \).

\[
490\times0.453592 = 490\times0.453592 = 222.26008
\]

Step3: Round to the nearest hundredth

Rounding \( 222.26008 \) to the nearest hundredth gives \( 222.26 \).

Answer:

\( 490\space\text{lb} \approx \boxed{222.26}\space\text{kg} \)