Starting from the origin of a coordinate system, an ant walks in a straight line for a distance of 8 cm in a positive direction. It turns around and walks 9 cm in the negative direction. what is its final displacement, in centimeter, from the origin 

To find the final displacement of the ant from the origin, we need to consider the two movements it makes:

1. The ant starts at the origin (0, 0) and walks 8 cm in a positive direction. This means it moves from 0 to \( +8 \) cm.

2. Then, the ant turns around and walks 9 cm in the negative direction. This means it moves 9 cm back from its current position (which is at \( +8 \) cm).

Now, let's calculate the final position step-by-step:

- Starting point: \( 0 \) cm
- After walking 8 cm in the positive direction: \( 0 + 8 = 8 \) cm
- After walking 9 cm in the negative direction: \( 8 - 9 = -1 \) cm

Therefore, the final displacement of the ant from the origin is \( -1 \) cm. This means the ant is 1 cm away from the origin in the negative direction.

### Final Displacement
The final displacement of the ant from the origin is **-1 cm**.

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### Related Questions:
1. If the ant walks an additional 5 cm in the positive direction, where will it be located relative to the origin?
2. How would the displacement change if the ant walked 9 cm in the positive direction instead of the negative direction?
3. What is the total distance covered by the ant during its journey?
4. How can we represent this problem graphically on a coordinate plane?
5. If another ant walks the same distances but in a different order, will the final displacement be the same?

### Tip:
Displacement considers only the initial and final positions, not the total distance traveled.

Explore how an ant's journey in a coordinate system results in a final displacement from the origin. Understand the mathematical steps involved, including movements in positive and negative directions. Suitable for Grades 7-9.

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