Things and the gaps between them
The question
A log is sawn into 15 equal pieces.
How many cuts does that take?
The things, or the gaps between them
pieces:15
pieces:15
●—●—●—●
14
- Here is what the question gives.
- The numbers give you one count straight away: 15 pieces — but is that the answer?
- Look at a small row — four dots have three gaps. Whether you add one depends on what is at the ends.
- Cuts sit between the pieces, not at the ends: 15 pieces have 15 − 1 = 14 cuts. Break a stick in two and you cut once.
How it works.
- 01
Here is what the question gives.
- 02
The numbers give you one count straight away: 15 pieces — but is that the answer?
- 03
Look at a small row — four dots have three gaps. Whether you add one depends on what is at the ends.
- 04
Cuts sit between the pieces, not at the ends: 15 pieces have 15 − 1 = 14 cuts. Break a stick in two and you cut once.