Making Change Formula

The Formula

\text{change} = \text{amount paid} - \text{cost}

When to use: If a toy costs \3.75 and you hand the cashier \5.00, making change means figuring out the gap between what you paid and what it costs—like counting up from \3.75 to \5.00.

Quick Example

\text{Paid: } \10.00, \quad \text{Cost: } \6.35 \text{Change} = \10.00 - \6.35 = \$3.65

Notation

Money amounts use \ with two decimal places: \5.00 - \3.75 = \1.25

What This Formula Means

Calculating how much money is returned to a buyer when they pay more than the purchase price.

If a toy costs \3.75 and you hand the cashier \5.00, making change means figuring out the gap between what you paid and what it costs—like counting up from \3.75 to \5.00.

Worked Examples

Example 1

easy
A pencil costs 35 cents. You pay with 50 cents. How much change do you get back?

Solution

  1. 1
    Amount paid: 50 cents.
  2. 2
    Cost: 35 cents.
  3. 3
    Change = \(50 - 35 = 15\) cents.
  4. 4
    You get 15 cents back.

Answer

15 cents
Change = amount paid − price. You gave 50¢ for a 35¢ item, so you receive 15¢ back.

Example 2

medium
You buy a sandwich for \3.75 and a drink for \1.50. You pay with a \$10 bill. How much change do you receive?

Common Mistakes

  • Forgetting to line up the decimal points when subtracting money amounts
  • Counting up incorrectly when using the 'count forward' strategy
  • Not checking that the change plus the cost equals the amount paid

Why This Formula Matters

Making change is an essential life skill for shopping, and it reinforces subtraction with decimals.

Frequently Asked Questions

What is the Making Change formula?

Calculating how much money is returned to a buyer when they pay more than the purchase price.

How do you use the Making Change formula?

If a toy costs \3.75 and you hand the cashier \5.00, making change means figuring out the gap between what you paid and what it costs—like counting up from \3.75 to \5.00.

What do the symbols mean in the Making Change formula?

Money amounts use \ with two decimal places: \5.00 - \3.75 = \1.25

Why is the Making Change formula important in Math?

Making change is an essential life skill for shopping, and it reinforces subtraction with decimals.

What do students get wrong about Making Change?

Subtracting across dollars and cents when borrowing is needed (e.g., \5.00 - \3.75).

What should I learn before the Making Change formula?

Before studying the Making Change formula, you should understand: money counting, subtraction.