The task consists of two parts:

Part a: Identify the quadrants for each given point

We need to determine which quadrant each of the following points belongs to based on their coordinates:

1. A(3.5 | 4)
2. B(1.2 | -5)
3. C(-0.2 | 1.5)
4. D(1 | 2.5)
5. E(-6 | -5.6)
6. F(-3 | 4)
7. G(2 | 1.94)
8. H(-1 | -7.1)
9. I(6.5 | -1.8)
10. J(-3 | 6.8)

Quadrant rules:

• Quadrant I: $x > 0$ and $y > 0$
• Quadrant II: $x < 0$ and $y > 0$
• Quadrant III: $x < 0$ and $y < 0$
• Quadrant IV: $x > 0$ and $y < 0$

Part b: Table filling

The table is asking for the sign of $x$-coordinates and $y$-coordinates in each quadrant. The signs are as follows:

• I Quadrant: $x$-coordinate is positive, $y$-coordinate is positive.
• II Quadrant: $x$-coordinate is negative, $y$-coordinate is positive.
• III Quadrant: $x$-coordinate is negative, $y$-coordinate is negative.
• IV Quadrant: $x$-coordinate is positive, $y$-coordinate is negative.

Let me proceed by calculating and listing which points belong to which quadrants.Here are the quadrants for each of the points based on their coordinates:

1. A(3.5 | 4): I Quadrant
2. B(1.2 | -5): IV Quadrant
3. C(-0.2 | 1.5): II Quadrant
4. D(1 | 2.5): I Quadrant
5. E(-6 | -5.6): III Quadrant
6. F(-3 | 4): II Quadrant
7. G(2 | 1.94): I Quadrant
8. H(-1 | -7.1): III Quadrant
9. I(6.5 | -1.8): IV Quadrant
10. J(-3 | 6.8): II Quadrant

Part b: Table for the signs of coordinates in each quadrant

Let me know if you want further details or explanations.

Here are five related questions you could consider:

1. What happens to the sign of coordinates on the axes themselves?
2. How would this change if we considered points in a 3D coordinate system?
3. How do rational and irrational numbers play a role in the coordinate system?
4. What types of transformations can move points between quadrants?
5. Can two points from different quadrants be connected by a straight line that stays entirely in one quadrant?

Tip: Understanding the signs of coordinates helps in graphing and solving geometric problems efficiently.