How Does Irrational Numbers: Study Hall Algebra #5: ASU + Crash Course Work?

Irrational numbers are like secret friends who never repeat their favorite game, they just keep going on and on forever.

Imagine you have a pizza that you want to share with your best friend. If the pizza is perfectly round, you could split it evenly by drawing a straight line from one edge to another through the center, this line is called the diameter. But what if you wanted to find the length of the crust, the circumference? That’s where irrational numbers come in!

The number π (pi) is an example of an irrational number, and it helps us figure out the circumference of a circle using the formula C = π × diameter. Pi starts with 3.14, but if you keep going, it never ends, like a never-ending story! It doesn’t repeat in any pattern either.

Let’s say your pizza has a diameter of 10 inches. If we use pi to find the circumference, we multiply π by 10:

C = π × 10

Even if you calculate it for a long time, the numbers just keep coming, no end in sight!

So, irrational numbers are like that special friend who never stops telling stories. You can’t write them all down, but you know they’re always there!