Question

The distance from the moon to the earth is about 239,000 miles (1 mile = 63,360 inches). How many dimes would need to be in a stack in order to reach the moon? Write your answer in scientific notation. a. 2.39 x 10^12 dimes b. 2.39 x 10^9 dimes c. 2.39 x 10^15 dimes d. 2.39 x 10^10 dimes

Answer 1

The distance from the moon to the earth is about 239,000 miles. To find the number of dimes needed to reach the moon, we convert the distance to inches and divide by the thickness of a dime. The answer is approximately 2.85 x 10^11 dimes.

Step-by-step explanation:

To determine the number of dimes needed to reach the moon, we need to convert the distance from miles to inches. Since 1 mile is equal to 63,360 inches, the distance from the moon to the earth in inches is 239,000 miles * 63,360 inches/mile = 15,135,840,000 inches. To find the number of dimes needed, we can divide the total distance in inches by the thickness of a dime. The thickness of a dime is approximately 0.053 inches. Therefore, the number of dimes needed would be 15,135,840,000 inches / 0.053 inches/dime = 285,282,641,509.43 dimes. In scientific notation, this would be approximately 2.85 x 10^11 dimes. So, the answer would be option A: 2.39 x 10^12 dimes.

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