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Just to point out that the 50s ended in December 1960,and the 70s began January 1971.
   Because there never was any such thing as 0 A.D. All follows from that fact.
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OK, I will always argue that the 21st century didn't begin until Jan 1, 2001 due the no year 0 thing. I don't think that "the 60's" and such needs to follow the same logic. If you mean the seventh decade of the 20th century then yes. But I don't see how October 1970 can be part of "the 60's", it just doesn't make sense to me. I see it two separate numbering systems.