Justin is working with the integer tiles shown in the diagram below.
What is the value of Justin's diagram?
Use the method of finding zeros, like you did in problem 2-66, to find the value of this diagram.
If Justin removes three positive pieces, what will the value be?
If you find it helpful, you can draw a new diagram. Also, you can use mental math to subtract three from the value you found in part (a).
To get you started, here is how the new diagram might look.
+ + +
− − − − − −
If Justin starts with the original diagram and removes three negative pieces, what will the value be?
Essentially, you are repeating the process in part (b). However, this time you are adding three rather than subtracting.
Justin has a new arrangement of tile spacers shown below. If he removes four positive pieces, what will the value be?
Remember to find the value of this diagram before subtracting four from the total.