By doing lots of practice and hard work. Also, you may want to consider getting a tutor.
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mathematics is math math is short for mathematics
Pure Mathematics is the branch of mathematics that deals only with mathematics and how it works - it is the HOW of mathematics. It is abstracted from the real world and provides the "tool box" of mathematics; it includes things like calculus. Applied mathematics is the branch of mathematics which applies the techniques of Pure Mathematics to the real world - it is the WHERE of mathematics; it includes things like mechanics. Pure Mathematics teaches you HOW to integrate, Applied mathematics teaches you WHERE to use integration.
Only a person who does not understand mathematics is disadvantaged. Mathematics in itself has no disadvantages.
Mathematics is used extensively in the physical sciences, by mathematics itself is not a physical science.
Depending on what type of science, yes mathematics can be science. Like if you're doing physics that can be mathematics.