An asteroid is heading toward Mars at the rate of 7.7×10^4 mi./hr. If the asteroid is 3.311×10^8 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.(1 point)
To find out how many hours it will take for the asteroid to hit Mars, we need to divide the distance between Mars and the asteroid by the rate at which it is approaching.
Distance = 3.311×10^8 miles
Rate = 7.7×10^4 mi./hr
Time = Distance / Rate
Time = (3.311×10^8 miles) / (7.7×10^4 mi./hr)
To divide numbers in scientific notation, we divide the coefficients and subtract the exponents:
Time = (3.311 / 7.7) × 10^(8 - 4)
Time = 0.429480×10^4
Since the exponent is already at its lowest possible value (4), we don't need to adjust it any further.
Therefore, it will take approximately 0.429480x10^4 hours for the asteroid to hit Mars.
To find how many hours it will take for the asteroid to hit Mars, we can use the formula:
time = distance / rate
Given:
Distance = 3.311×10^8 miles
Rate = 7.7×10^4 mi./hr
Substituting these values into the formula, we have:
time = 3.311×10^8 miles / 7.7×10^4 mi./hr
To divide these two numbers, we need to divide the distances and subtract the exponents:
time = (3.311 / 7.7) × 10^(8 - 4) hours
Calculating the division, we have:
time = 0.429096 × 10^4 hours
To express this number in scientific notation, we can rewrite it as:
time = 4.29096 × 10^(4 - 1) hours
Simplifying the exponent, we get:
time = 4.29096 × 10^3 hours
Therefore, it will take approximately 4.29096 × 10^3 hours before the asteroid hits Mars.
are you sure?
To find the number of hours it will take for the asteroid to hit Mars, we can use the equation:
Time = Distance / Rate
Given:
Distance = 3.311×10^8 miles
Rate = 7.7×10^4 mi./hr
Plugging the values into the equation:
Time = (3.311×10^8 miles) / (7.7×10^4 mi./hr)
To divide two numbers in scientific notation, we can divide the coefficients and subtract the exponents:
Time = (3.311 / 7.7) × (10^8 / 10^4) hours
Simplifying the fraction:
Time = 0.429 × (10^8-4) hours
Time = 0.429 × 10^4 hours
Finally, we can express the answer in scientific notation by moving the decimal point one place to the right:
Time = 4.29 × 10^3 hours
Therefore, it will take approximately 4.29 × 10^3 hours for the asteroid to hit Mars.
Apologies for my mistake in the previous response. Let's recalculate the correct answer:
To find how many hours it will take for the asteroid to hit Mars, we can use the formula:
Time = Distance / Rate
Given:
Distance = 3.311×10^8 miles
Rate = 7.7×10^4 mi./hr
Substituting these values into the formula, we have:
Time = (3.311×10^8 miles) / (7.7×10^4 mi./hr)
To divide these two numbers, we need to divide the distances and subtract the exponents:
Time = (3.311 / 7.7) × 10^(8 - 4) hours
Calculating the division, we have:
Time = 0.429480 × 10^4 hours
To express this number in scientific notation, we can rewrite it as:
Time = 4.29480 × 10^(4 - 1) hours
Simplifying the exponent, we get:
Time = 4.29480 × 10^3 hours
Therefore, it will take approximately 4.29480 × 10^3 hours before the asteroid hits Mars.