How to give change with the fewest coins
Short answer: take the biggest bill or coin that is not more than what is left, hand it over, and repeat until nothing is left. For dollars, euros, pounds and most currencies this always gives the fewest pieces.
Worked example: $3.85 in change
- Biggest that fits: $1 bill, three times, leaves $0.85.
- Quarter, three times, leaves $0.10.
- Dime, once, leaves $0.
Seven pieces. Using dimes and nickels instead would take a dozen or more.
Why it matters at the register
- Fewer pieces means faster counting and shorter lines.
- The drawer runs out of small coins more slowly.
- Fewer pieces is easier for the customer to check.
A cashier trick
If the price is $6.04 and the customer hands you $10.04, take the four pennies too: the change becomes exactly $4, with no coins at all.
Practicing it in Changora
In Give change and Make it, a correct answer with the fewest pieces earns a star: "Fewest pieces, just like a pro cashier." When you miss one, the fewest-pieces answer is shown next to yours.
FAQ
Is the biggest-first rule always right?
For US dollars, euros, pounds, yen, won and the other common currencies, yes: taking the biggest piece that fits always gives the fewest pieces.
What if I run out of a coin?
Use the next smaller ones: two dimes and a nickel instead of a quarter. The amount is what matters; fewest pieces is a speed habit, not a rule.
Does the customer care?
Most people prefer fewer coins. It is also faster to count back and easier to check.