by Dan Meyer

• 1. If Dan shrinks the dollar nine times like this, how big will it be? Will you still be able to see it?
• 2. Guess how large it will be by drawing on your dollar diagram.
• 3. Give a guess you know is too big.
• 4. Give a guess you know is too small.

• video — the dollar shrinking machine

• 5. What information would help solve this problem?

• file — the dollar diagram

• video — the shrinking dollar

• 6. How many times would you have to copy the bill before it became invisible?
• 7. If you wanted to expand this bill back up to normal size with exactly one copy, what percentage would Dan have to set on the copier?
• 8. You could turn a US dollar coin (26.5 mm diameter) into the size of a dime (17.91 mm diameter) by copying it four times at 90%. Give two other ways you could do exactly the same thing.