Making change, step by step

Making change is subtraction with a reason a child recognizes: you paid more than it cost, so how much comes back?

The question
Fox buys a basketCosts Pays 10¢Change:

Change from 10¢

price:
handed over:10¢
+ 6¢10¢
+ 6¢10¢
  1. Two numbers matter and neither is a coin on the tray: the price, 4¢, and what was handed over, 10¢. Everything else is for afterwards.
  2. Count UP from the price, not down from the payment. It is one hop here: 4¢ to 10¢. Done as a take-away this is where the borrowing goes wrong; counting up there is nothing to borrow.
  3. That one hop IS the change: 6¢. Now find coins that make that amount.

How it works.

  1. 01

    Two numbers matter and neither is a coin on the tray: the price, 4¢, and what was handed over, 10¢. Everything else is for afterwards.

  2. 02

    Count UP from the price, not down from the payment. It is one hop here: 4¢ to 10¢. Done as a take-away this is where the borrowing goes wrong; counting up there is nothing to borrow.

  3. 03

    That one hop IS the change: 6¢. Now find coins that make that amount.