ELI5 Zero - why its discovery by ancient civilizations was so ground breaking for mathematics

What is zero's connection to algebra, Fibonacci and modern mathematics? What is the significance of it being both number and digit? Why was it so ground breaking when ancient civilizations discovered and started using the number 0? Finally... is infinity a number?

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Thank you to the r/explainlikeimfive community, and specifically the following reddit users whose questions and responses formed the basis of this conversation: legalbarbecue19, habseligkeitderliebe, dennis_enzo, flobbley, e3rie_, nooneseemstomind & miguelmealie

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