Final answer:
To calculate the total distance traveled by a spacecraft moving at 7.7 x 10⁴ miles per day over 1.3 x 10³ days, multiply the speed by the duration, resulting in a total distance of 1.001 x 10⁸ miles.
Step-by-step explanation:
The student is asking how long a spacecraft traveling at a speed of 7.7 x 10⁴ miles per day will travel given a duration of 1.3 x 10³ days. To solve this, we can multiply the spacecraft's daily travel speed by the number of days it travels.
- Speed of spacecraft = 7.7 x 10⁴ miles/day
- Duration of travel = 1.3 x 10³ days
We calculate the total distance traveled by the spacecraft by performing the multiplication:
Total Distance = Speed of spacecraft x Duration of travel
Total Distance = (7.7 x 10⁴) x (1.3 x 10³)
By multiplying the coefficients (7.7 x 1.3) and adding the exponents of 10 (4+3), we get:
Total Distance = 10.01 x 10⁷
To simplify, we write it as:
Total Distance = 1.001 x 10⁸ miles