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Multiple Choice
If the distance between Washington, D.C. and New York City is 224.9 miles, determine the distance in centimeters.
A
8.110 x 109 cm
B
3.619 x 107 cm
C
4.207 x 10-3 cm
D
1.913 x 10-5 cm
E
5.000 x 1011 cm
Verified step by step guidance
1
Start by identifying the conversion factors needed to convert miles to centimeters. The conversion factors are: 1 mile = 1.60934 kilometers and 1 kilometer = 100,000 centimeters.
Convert the distance from miles to kilometers using the conversion factor: \( \text{Distance in kilometers} = 224.9 \text{ miles} \times 1.60934 \text{ km/mile} \).
Next, convert the distance from kilometers to centimeters using the conversion factor: \( \text{Distance in centimeters} = \text{Distance in kilometers} \times 100,000 \text{ cm/km} \).
Perform the multiplication to find the distance in centimeters. Ensure that you keep track of significant figures based on the initial measurement.
Compare the calculated distance in centimeters with the given options to determine which one matches your result.