To determine the day of the week on January 7, 2000, given that January 11, 1997, was a Sunday, we need to calculate the number of days between these two dates and figure out how many weeks and extra days this period includes. Follow these steps:
- Calculate the number of days for each complete year:
- 1997 (from Jan 11 to Dec 31) is a common year, leaving 354 days.
- 1998 is also a common year, contributing 365 days.
- 1999 is another common year, contributing 365 days.
- 2000 (from Jan 1 to Jan 7) contributes 7 days.
- Total days calculation:
354 (1997) + 365 (1998) + 365 (1999) + 7 (2000) = 1091 days
- Convert total days to weeks and extra days:
- 1091 days ÷ 7 days/week = 155 weeks with a remainder of 6 days.
- Determine the day:
Since 6 extra days after a Sunday (Jan 11, 1997) leads to Saturday, January 7, 2000, was a Saturday.