### Home > MC2 > Chapter 2 > Lesson 2.1.3 > Problem2-41

2-41.

Solve the number puzzles below.

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

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?

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

3. If I moved to the right $8$ and moved to the left $8$, what can you tell me about my ending position?

Draw a sketch with a number line similar to part (a) and (b).

After drawing arrows $8$ to the right and then $8$ to the left, what do you notice?

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