new year's day occurs on january 1. ( New, Year's, Day, January )

Correct

New Year's day occurs on January the first.

Numbers under 100 need to be written out.

Yes, New Year's Day occurs on January 1st. This is a widely recognized holiday that marks the beginning of the new year in the Gregorian calendar. To determine when New Year's Day falls on a specific year, you can refer to a calendar or use a simple algorithm:

1. Start with the current year or the year you are interested in.
2. Check if the year is a leap year. A leap year occurs every four years, except for years that are divisible by 100 but not by 400. For example, the year 2000 was a leap year, but 1900 was not.
3. If the year is not a leap year, New Year's Day will always be on January 1st. However, if it is a leap year, New Year's Day will remain on January 1st.

So, in most cases, you can simply remember that New Year's Day always falls on January 1st.