INTRODUCTION OF BASIC ALGEBRA


BASIC ALGEBRA

What is Algebra?

           Algebra is the branch of mathematics that uses letters in place of some unknown numbers.
You've been using algebra since your early schooling, when you learned formulas like the area of a rectangle, with width w, height h:
A = w × h
We used letters to stand for numbers. Once we knew the width and height, we could substitute them into the formula and find our area.
Another one you may have seen is the area of a circle, with radius r:
= πr2
As soon as we know the length of the sides, we can find the area.
Literal numbers (the letters used in algebra) can either stand for variables (the value of the letter can change, like the wh and r in the examples of the area of a rectangle and the area of a circle) or constants (where the value does not change), for example:
π (the ratio circumference/diameter of a circle, value 3.141592....)
g (the accelaration due to gravity, 9.8 m/s2),
e (which has a constant value of 2.781828...).

Why Do We Have to do This?

          Algebra is a powerful tool for problem solving in science, engineering, economics, finance, architecture, ship-building and many other day-to-day tasks.
If we didn't use letters in place of numbers (and used words instead), we would be writing many pages for each problem and it would be much more confusing.

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