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When the numbers are in BC, it means that more far away the number is from 0, the older or more ancient it is. Imagine a number line with 0 in the middle, BC as negative numbers, and AD as positive numbers because that's how it works. (Diagram below) So Archimedes lived for 75 years.

Infinity...87...12...3 2 1 0 1 2 3...Modern Day
BC years -0-AD years

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Q: How is that archmedies was born 287Bc BUT died 212 Bc?
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Archimedes was born in 287 BC and he died in c. 212 BC.


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Archimedes was born in Syracuse, Sicily, about 287 BC, and died around 212 BC.


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He lived from 287bc to 212bc but was killed at age 75 by a confused roman soldier who was only given orders to bring him to the ruler unharmed. This roman soldier was executed soon after for disobeying the roman king/ruler.