Adding one century, that is, 100 years, to 1789, gives 1889.
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One hundredth of a century is a year.
From 1901 to 2001, this century was called the Twentieth century. This is because the first century did not begin in the year of Zero. It began at the year of one. Thus the first century ended on January 1, the century of one.
Adding one century, that is, 100 years, to 1845, gives 1945.
Ah, what a happy little question! In one one-hundredth of a century, there is one year. Isn't that just delightful? Every year is a chance for new beginnings and beautiful possibilities. Just like painting, each year is a blank canvas waiting for you to create something wonderful.
The 14'th century comprises the years 1301 to 1400. Think of it this way: The year 001 was the beginning of the 1'st century which ended at the year 100. Then the year 101 started the 2'nd century which ended at the year 200. Then the year 201 started the 3'rd century, and so on. Centuries, like years, are named for the one just starting, not the one just completed.