The light will travel 8 x[tex]10^{12}[/tex] hm/month in a month.
To start with, we have to define the value of a hectometer. The question says that
a meter = 0.01 hectometer. This means that
a hectometer = 100 meter.
If the speed of light is 299,800,000 m/s, then converting to hectometer, we have the speed of light to be 2,998,000 hm/s
Going further, we are going to convert seconds to month.
1 minute = 60s
1hr = 60 min = 60 * 60 s = 3,600s
1 day = 24hrs = 3,600s * 24 = 86,400s
1 month = 31 days = 86,400 * 31 = 2,678,400s
this gotten value of 2,678,400 seconds is then multiplied by the hm/s we have earlier
2,998,000 * 2,678,400 = 8,029,843,200,00 hm/m or in standard form as
8 x[tex]10^{12}[/tex] hm/m
More example on conversion can be seen here https://brainly.com/question/11947673