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? Write the answer in scientific notation, expressed to the exact decimal place.
To determine the time it takes for the asteroid to reach Mars, we need to divide the distance to Mars by the rate at which it is moving.
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)
We can divide the numbers separately:
Time = (3.311 / 7.7) x (10^8 / 10^4) = 0.429 x 10^4
Now, we can rewrite the time in scientific notation, expressed to the exact decimal place:
Time = 4.29 x 10^3 hours.
To find the time it takes for the asteroid to reach Mars, we need to divide the distance by the rate.
Time = Distance / Rate
Given that the distance is 3.311 x 10^8 miles and the rate is 7.7 x 10^4 mi/hr, we can calculate the time.
Time = (3.311 x 10^8 miles) / (7.7 x 10^4 mi/hr)
To divide the numbers in scientific notation, we divide the coefficients and subtract the exponents.
Time = (3.311 / 7.7) x (10^8 / 10^4)
Simplifying this expression further:
Time = 0.4291 x 10^(8-4)
Time = 0.4291 x 10^4
To express this value in scientific notation to the exact decimal place, we multiply the coefficient by 10^4.
Time = 4.291 x 10^3
Therefore, the time it takes for the asteroid to reach Mars is 4.291 x 10^3 seconds.
To find the time it takes for the asteroid to reach Mars, we can use the formula:
Time = Distance / Speed
Given:
Distance = 3.311 x 10^8 miles
Speed = 7.7 x 10^4 mi/hr
To divide two numbers in scientific notation, we divide the coefficients and subtract the exponents:
Time = (3.311 x 10^8) / (7.7 x 10^4)
Dividing the coefficients gives us: 3.311 / 7.7 ≈ 0.4298
Subtracting the exponents gives us: 8 - 4 = 4
Therefore, Time = 0.4298 x 10^4 hours.
However, we need to express the answer in scientific notation with the coefficient between 1 and 10. Since 0.4298 is less than 1, we can rewrite it as 4.298 x 10^-1.
Therefore, the time it takes for the asteroid to reach Mars is approximately 4.298 x 10^-1 hours in scientific notation, expressed to the exact decimal place.