An asteroid is heading toward Mars at the rate of 7.7 x 10^4 mi./hr. If the asteroid is 3.311 x 10^8 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.

3 answers

To find the time it will take for the asteroid to hit Mars, we need to divide the distance to Mars by the rate of the asteroid.

Distance to Mars: 3.311 x 10^8 miles
Rate of the asteroid: 7.7 x 10^4 mi./hr

Time = Distance / Rate

Time = (3.311 x 10^8 miles) / (7.7 x 10^4 mi./hr)

To divide two numbers written in scientific notation, we divide their coefficients (numbers before the multiplication sign) and subtract their exponents (numbers after the multiplication sign).

Time = (3.311 / 7.7) x 10^(8 - 4) miles/hr

Time = 0.42935 x 10^4 miles/hr

Since the time is in hours, we can simplify the units as follows:

Time = 4.2935 x 10^3 hr

Therefore, it will be approximately 4.2935 x 10^3 hours before the asteroid hits Mars.
Wrong.
the answer is 4.3x 10^3