An asteroid is heading toward Mars at the rate of 7.7 x 10* mi./hr. If the asteroid is 3.311 × 108 miles away from Mars, how many hours will it be before it hits Mars? Write the answer in scientific notation, expressed to the exact decimal place. (1 point)

__hours

1 answer

To find the time it will take for the asteroid to hit Mars, we can divide the distance between the asteroid and Mars by the rate at which the asteroid is moving:

Time = Distance / Rate

Using the given values:

Time = 3.311 × 10^8 miles / (7.7 × 10^6 mi/hr)

To divide these numbers in scientific notation, we subtract the exponents:

Time = (3.311 / 7.7) × 10^(8 - 6)

Time = 0.429 × 10^2

Converting 0.429 to scientific notation, we move the decimal point to the right until we have a number between 1 and 10:

Time = 4.29 × 10^1

Therefore, it will take approximately 4.29 × 10^1 hours for the asteroid to hit Mars.