An asteroid is heading towards Mars at the rate of 7.7 * 10/4 mph if the asteroid is 3.311 * 10.8 Mi away from Mars how many hours will it be before it hits Mars right to answer in scientific notation Express to the exact decimal place
To find out how many hours it will be before the asteroid hits Mars, we need to divide the distance by the rate.
Distance = 3.311 * 10^8 mi
Rate = 7.7 * 10^4 mph
Time = Distance / Rate
Time = (3.311 * 10^8 mi) / (7.7 * 10^4 mph)
To divide the numbers, we subtract the exponents in the denominator from the exponents in the numerator, and divide the coefficients.
Time = (3.311 / 7.7) * 10^(8 - 4) mi / mph
Time = 0.4293 * 10^4 mi / mph
We express 0.4293 in scientific notation by moving the decimal point to the right until there is only one non-zero digit to the left of the decimal point.
Time = 4.293 * 10^(-1 + 4) mi / mph
Time = 4.293 * 10^3 mi / mph
Therefore, it will take approximately 4.293 * 10^3 hours for the asteroid to hit Mars.
To find the number of hours it will take for the asteroid to hit Mars, we need to divide the distance between the asteroid and Mars by the rate at which the asteroid is moving.
Distance between the asteroid and Mars = 3.311 * 10^8 mi
Rate of the asteroid = 7.7 * 10^4 mph
Number of hours = (Distance between the asteroid and Mars) / (Rate of the asteroid)
Number of hours = (3.311 * 10^8 mi) / (7.7 * 10^4 mph)
To simplify this calculation, we can divide the coefficients and subtract the exponents.
Number of hours = (3.311 / 7.7) * (10^8 / 10^4) mi/mph
Number of hours = 0.42935064935 * 10^4 mi/mph
Now, we can convert the coefficient back into scientific notation.
Number of hours = 4.2935064935 * 10^(-1 + 4) mi/mph
Number of hours = 4.2935064935 * 10^3
So, it will take approximately 4.2935 * 10^3 hours for the asteroid to hit Mars.
To find the time it will take for the asteroid to hit Mars, we can use the formula: time = distance / rate.
First, let's convert the distance and rate to scientific notation:
Distance = 3.311 * 10^8 miles
Rate = 7.7 * 10^4 mph
Now, we can substitute these values into the formula:
time = (3.311 * 10^8 miles) / (7.7 * 10^4 mph)
To simplify the calculation, we can divide the coefficients separately and then subtract the exponents:
time = (3.311 / 7.7) * 10^(8-4) miles / mph
time = 0.42961039 * 10^4 miles / mph
Since we are looking for the time in hours, we need to adjust the units:
1 mile / mph = 1 hour
Therefore, the time it will take for the asteroid to hit Mars is approximately:
0.42961039 * 10^4 hours
Now, let's express this answer to the correct number of decimal places. Since the initial value given had four decimal places, we will express the answer to the same number of decimal places. Hence, the final answer is:
0.4296 * 10^4 hours (in scientific notation, to four decimal places)