# Is It a Digit? IMP Solve It!.

## Presentation on theme: "Is It a Digit? IMP Solve It!."— Presentation transcript:

Is It a Digit? IMP Solve It!

There are five empty boxes shown here labeled 0 through 4.
1 2 3 4

Your task is to put a digit 0 through 4 inside each of the boxes so that certain conditions hold:
The digit you put in the box labeled “0” must be the same as the number of 0’s you use. The digit you put in the box labeled “1” must be the same as the number of 1’s you use. The digit you put in the box labeled “2” must be the same as the number of 2’s you use, and so on… 3 4 1 2

What to do What Not to Do You are allowed to use the same digit more than once. You may want to make several copies of the set of boxes in order to try the various combinations of digits. Here is an example of an incorrect way to fill the boxes. This is incorrect for many reasons. For instance, there is a 1 in the box labeled “2”, but there is more than one 2 in the boxes….. 2 2 3 1 2 2

Once you have solved the problem in Is it a Digit
Once you have solved the problem in Is it a Digit?, your task is to prove that you have all the solutions. Write Up Problem Statement: Explain the problem from Is it a Digit? Process: Based on your notes, describe how you went about finding all the solutions to Is it a Digit? And how you decided that you had them all. Solutions: List all solutions you found for the Is it a Digit? Then write a careful and detailed proof that there are no solutions to Is it a Digit? other than those listed. Evaluation Self-assessment POW 1 A Digital Proof