Math Morals (Part 7)

1. Shapes such as triangles, squares, circles etc. follow certain rules. For example, dividing the circumference of a circle by its diameter will always give pi, no matter what the size of the circle is. Likewise, square has four equal sides and so on.

This teaches us that in order to create something substantial and meaningful in life, or in order to achieve something productive in life, we need to follow certain rules and practices. We need to follow a game plan and we cannot go haphazard.

2. Inverting a fraction means to switch the numerator and the denominator. All numbers are naturally a fraction with the denominator of 1. For example 5 is actually 5/1. or 100 is actually 100/1. What we need to realize is that the bigger the value of a number, the smaller the value it becomes when we inverse it. So for example 100 is larger than 5 but 1/100 is smaller than 1/5.

This teaches us an important lesson in our lives. The better our position is, the worse it will become if we suddenly face a complete failure. So for example, if a poor person who only has 2 dollars, loses those two dollars, his life will not be affected exponentially. But if someone was living a millionaire lifestyle and was maintaining many luxuries, and suddenly he loses his wealth and property, he will be devastated.

The same applies in other areas of life. Someone who is popular in a good way is more affected by scandals against him than an unknown person. People in position of power are (or at least should be) more liable then people with less responsibilities. And similarly, a good person passing away is a bigger loss to the society than an evil person’s passing away.

The same principle applies to negative numbers. The inverse of a negative number is larger than the original number. So -5 is less than -100, but -1/5 is smaller in value than -1/100. This shows us that when evil is is turned on its head or defeated, this bring betterment to society and negativity decreases. The bigger the evil (the more negative a number), the better a society becomes when it is defeated (because inverse of larger negative numbers are larger in value than inverses of smaller negative numbers).

So clearly, these examples show us how mathematical principles are in complete harmony with our society and social rules and practices.

3. a+b = b+a. This shows us that we shouldn’t worry in life if we get something less or we shouldn’t feel proud if we get a lot. Because, at the end of the day, we will surely get a total of what is destined for us. So if we get more today, we may get less tomorrow and if we get less today, we may get more tomorrow.

4. When we multiply two exponents with same bases, their powers add together, so (a^(b)) times (a^(c)) = a^(b+c). This shows the importance of having the same base. If a group of people or a family live in the same house, their powers combine. They are stronger than someone living all alone. Also, people living together can benefit from each other’s strengths and powers. Coming together and sharing ideas helps people grow. People working together on the same project brings their specialties to the project.

(a/b)^n = (a^(n))/(b^(n)). This shows that the surrounding has an effect on all the people living in it. What goes around, comes around.

Also exponents show us the importance of being able to express long ideas in short, yet beautiful and structured way.