To find the time it takes for the asteroid to reach Mars, we can use the formula:
time = distance / rate
time = (3.311 x 10^8 miles) / (7.7 x 10^4 mi./hr)
To divide numbers in scientific notation, we divide the coefficients and subtract the exponents:
time = (3.311 / 7.7) x (10^8 / 10^4) = 0.42987 x 10^4
The number 0.42987 can be expressed in scientific notation as:
0.42987 = 4.2987 x 10^-1
Therefore, the time it will take for the asteroid to hit Mars is 4.2987 x 10^-1 x 10^4 hours.
Simplifying, we add the exponents:
10^-1 x 10^4 = 10^(4-1) = 10^3
So, the time it will take for the asteroid to hit Mars is 4.2987 x 10^3 hours.
An asteroid is heading toward Mars at the rate of 7.7 x 10^4 mi./hr. If the aster is 3.311 x 10^8 miles away from Mars, how many hours will the before it hits Mars, how many hours will it be before it hits Mars? Write the answer in scientific notation, expressed to the exact decimal place.
1 answer
1 answer