AI Tutor
Imagine your bank account balance sits at -\14.50,andanautomatedbillfor, and an automated bill for $22.75$ tries to clear.
Suddenly you are juggling negative dollars, overdraft fees, and fractional deposits all in the same afternoon.
A rational number is any number that can be written as a simple fraction ab\frac{a}{b}, where aa and bb are integers and bb is not zero.
That means positive numbers, negative numbers, repeating decimals, and mixed numbers all belong to the exact same family.
How do banks, engineers, and scientists keep track of these values when positive and negative steps mix together?

Balance and Debt: The Financial Number Line

In finance, money you own is positive, while money you owe is negative.
The absolute value of a number is its distance from zero on a number line, written as ∣x∣|x|, and it always tells you the size or magnitude regardless of direction.
If Maya owes \35.25,herbalanceis, her balance is -$35.25,buthertotalβˆ—βˆ—debtβˆ—βˆ—is, but her total **debt** is |-35.25| = $35.25$.
Let's track a full account: Maya starts with -\14.50,getscharged3streamingfeesof, gets charged 3 streaming fees of $8.25each,andthendepositsapaycheckofeach, and then deposits a paycheck of$65\frac{1}{2}$.
First, we convert the mixed fraction \65\frac{1}{2}intothedecimalforminto the decimal form$65.50$ so all our units match.