AI Tutor
Imagine you owe a friend 50,whileyourbrotherowesthemjust50, while your brother owes them just 10. Who owes more money, and who is actually in a better financial spot?
It sounds like a trick, but it reveals a big idea in math: the difference between how big a debt is and where your bank balance sits on a number line.

Bank Balances and Negative Numbers

When you have money in the bank, your balance is positive. When you owe money, that is called a debt, and your balance drops below zero into negative numbers.
If you owe 50,youraccountbalanceis50, your account balance is -$50.Ifyourbrotherowes. If your brother owes 10, his balance is -\10$.
On any number line, numbers further to the right are always greater. Because -\10istotherightofis to the right of-$50,wesay, we say -$10 > -$50$.
Your brother has a higher balance than you do because he is closer to having zero dollars, while you are deeper in the hole.
So why does it feel like 50isbiggerthan50 is bigger than 10?

Debt Magnitude: The Absolute Value

The size of a debt is called its magnitude, which tells you how much cash it takes to pay it all back regardless of the minus sign.
In math, we measure magnitude using absolute value, written with two vertical bars like βˆ£βˆ’50∣|-50|. It simply measures the distance a number is from zero.