Solve the number puzzles below.   

1. If I add $9$ to my number, I get $6$. What is my number?

   Hint (a):

   

   Based on the number line, what was the original number?

2. If I start at $-5$ on a number line and end up at $-8$, what direction did I move? How many units did I move?

   Hint (b):

   Experiment with the number line on the eTool below and use your observations to answer the question.

3. If I moved up $8$ and then moved down $8$, what can you tell me about my ending position?

• Hint (c):

  Try making your own number line (this one should be vertical).
  Draw arrows $8$ up and then $8$ down and see where you land.

  Answer (c):

  It is the same as the starting position. Can you see why?