Why not 20th Century being 2000- 2999?
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Unless you are a programmer, most would start counting objects like years and centuries with 1 followed by 2 etc.
Year 1 is therefore the first year of the first century which extends from Year 1 to year 100.
Year 101 is (technically) called the first year of the 2nd century.
Although we sometimes say the new century “began” in 2000, technically the 21st century began in 2001 and will last until 2100.
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