MAGNITUDE &
INEQUALITIES
An equation tells us that two things are exactly the same. But the real world is rarely perfectly equal. Inequalities let us compare the sizes, weights, and speeds of different things to see which one comes out on top.
The Concept of Magnitude
Magnitude is just a mathematical word for "size" or "amount." When we look at two numbers, we are really looking at their magnitude.
If you have 100 gold coins and your friend has 5 gold coins, your pile has a much larger magnitude. Math gives us a special set of symbols to write this comparison down quickly without using words.
The Operators
Greater Than
The open, wider side of the symbol always points to the larger number.
Less Than
The tiny, pointed end of the symbol always points to the smaller number.
The Negative Illusion
Inequalities get tricky when we drop below zero. At first glance, the number 100 looks much bigger than 2.
But what if it is -100? Imagine temperatures: 2 degrees is cold, but -100 degrees is freezing! On a number line, any number further to the right is greater.
Negative 100 is less than 2
Application: Turn Order
In turn-based digital combat environments, action economy is completely dictated by evaluating an inequality. The system compares the Speed variable of two actors, and whoever has the greater magnitude gets to strike first!
Unit Complete!
You've mastered sizes, symbols, and combat logic.