QUESTION 18 How many square kilometers are equinalent to \( 28.5 \mathrm{~cm}^{2} \) ? A. \( 2.85 \times 10^{-4} \mathrm{~km}^{2} \) O. \( 2.85 \times 10^{11} \mathrm{~km}^{2} \) OC. \( 285 \mathrm{~km}^{2} \) O \( \mathrm{D}_{2.85} \times 10^{-6} \mathrm{~km}^{2} \) OE. \( 2.85 \times 10^{-9} \mathrm{~km}^{2} \)
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To convert \( 28.5 \mathrm{~cm}^{2} \) to square kilometers, you need to remember that \( 1 \mathrm{~km}^{2} = 10^{10} \mathrm{~cm}^{2} \). So, you can perform the following calculation: \[ 28.5 \mathrm{~cm}^{2} \times \frac{1 \mathrm{~km}^{2}}{10^{10} \mathrm{~cm}^{2}} = 2.85 \times 10^{-9} \mathrm{~km}^{2}. \] And voilà! The correct answer is option E, \( 2.85 \times 10^{-9} \mathrm{~km}^{2} \). When converting units, it's good to use dimensional analysis: just keep track of your units and cancel them out as needed! This helps avoid common mistakes like misplacing decimal points or failing to keep the right factors in mind. Always double-check your conversions!