Final answer:
The distance light travels in 100 hours at the speed of 1,080,000,000 kilometers per hour is 108,000,000,000 kilometers, which is mathematically written as 1.08 x 10ⁱ¹ kilometers, making option 2) the correct answer.
Step-by-step explanation:
If the speed of light is 1,080,000,000 kilometers per hour, to calculate how far light travels in 100 hours, we multiply the speed of light by the number of hours. So, the calculation would be:
1,080,000,000 km/h × 100 h = 108,000,000,000 km
Therefore, the distance light travels in 100 hours is 108,000,000,000 kilometers, which can be expressed in scientific notation as 1.08 × 10ⁱ¹ kilometers.
From the multiple-choice options provided, the correct answer is option 2).