### Home > CAAC > Chapter 2 > Lesson 2.1.4 > Problem 2-42

Can zero be represented by any number of tiles? Using only the unit tiles (in other words, only the 1 and −1 tiles), determine if you can represent zero on an expression mat with the number of tiles below. If you can, draw an expression mat demonstrating that it is possible. If it is not possible, explain why not. 2-42 HW eTool (CPM). Homework Help ✎

2 tiles

6 tiles

3 tiles

Use the expression mat in the eTool below to determine if zero can be represented.

Click the link at right for the full version of the eTool: AC 2-41 HW eTool

Two identical tiles in opposite regions will make zero.

There are other correct solutions.

In part (a), we reasoned that it is possible to make zero with 2 tiles. Since 6 is a multiple of 2, we should also be able to make zero with 6.

Could you add a single tile to part (a) and still have zero?