Each of these subjects is heavily mathematics based. Science and math correlate directly, because science uses equations to generate facts and true statements, which are then analyzed. A strong math background is very important to all fields, especially science.
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Math is the science of abstracting a complex reality to a simple system. Many events that occur in nature (motion of objects, behavior of chemical reactions, electric current) are effectively modeled by mathematical formulas. Knowing how to manipulate and solve these formulas is essential to solving the actual problems that these formulas are modeling.
All of those things require you to be able to solve equations from the basics to very advanced. Mathematics is the branch of education in which you learn those things.
Math is a purely human invention which just happens to sometimes model processes which occur in physics, chemistry, and engineering.
Thus its a useful tool in understanding.