Math is the language of science. It is a combination of symbols and numbers that not many people understand and only a few master. Like any other language, it allows us to talk about past phenomenons, describe present situations and predict future events.
We have 4000 years of math history. During all these years we have created really extraordinary things thanks to math like the pyramids, the Empire State, the International Space Station and the dishwasher (question 1: can somebody live without a dishwasher? question 2: is that a life?).
Mathematics is the elementary tool to take logical decisions. It is based on what is called mathematical models. A model allows describing the true behavior of a phenomenon under certain conditions. A famous example is Einstein's equation $E=mc^2$, that relates the energy $E$ of a mass $m$ in a proportional way with the light speed $c$. This simple formula means a lot of things. One of them is that an average human body holds the energy of around 30 hydrogen bombs. That could be dangerous if you know how to trigger it.
Our minds can trick us making us believe that we are seeing something that is not real. It took us 3500 years since the beginning of math to realise that the Earth spins around the Sun. In the words of Isaac Asimov:
I believe in evidence. I believe in observation, measurement, and reasoning, confirmed by independent observers. I'll believe anything, no matter how wild and ridiculous, if there is evidence for it.