In an earlier post we discovered what **coordinates** are and what they are used for**.** Today we are going to look into this topic a little more to get to know this system better.

#### What is a quadrant on the Cartesian coordinate axis?

In the two dimensional Cartesian coordinate system, the 2 axes (**X** and **Y**) intersect at the origin *( O*

*)*and divide the coordinate plane into 4 regions:

These regions are called **quadrants**. They are numbered from 1 to 4, with Roman numerals, counter clockwise, around a central point of origin.

#### First Quadrant

Until now, we only knew the origin *‘ O‘* and the first quadrant. In it, the coordinates X and Y are always positive numbers.

**X positive**means that the position is to the right of the origin.**Y positive**means that it is above the origin.

So, in this quadrant, **(X,Y)** are positive. We can write them abbreviated as **(+,+)**.

The yellow dot is on the coordinates **(3,3)**. Three positions to the **right** of the origin and three **above**.

#### Second Quadrant

The first negative coordinate appears in this quadrant. The positive values tell us how many positions to count to the right or above the origin, X and Y respectively. In the same way, the negative values indicate how many positions we count to the left or below the origin of the X and Y axes. For example, if the X coordinate has a value of (-5) it means that it is 5 positions to the left of the origin. If the Y coordinate has the value of (-1), it means that it is one position below the origin.

**X negative**indicates that the position is to the left of the origin.**Y positive**that it is above the origin.

Thus **(X,Y)** are written **(-,+)**.

In the example, the green dot is on the coordinates **(-3,1)**. Three positions to the **left** of the origin and one position **above**.

#### Third Quadrant

Here, both values are negative.

**X negative**indicates that the position is to the left of the origin.**Y negative**that it is below the origin.

Therefore **(X,Y)** are written **(-,-)**.

The red point is on the coordinates **(-2,-5)**. Two positions to the** left** of the origin and five positions **below**.

#### Fourth Quadrant

The last quadrant is to the right and below the origin. The values of X and Y will be positive and negative respectively.

**X positive**indicates that the position is to the right of the origin.**Y negative**that it is below the origin.

In other words **(X,Y)** are written **(+,-)**.

The blue dot is on the coordinates **(4,-4)**. Four positions to the **right** of the origin and four **below**.

#### Summary

To summarize, the positive or negative value of the X and Y coordinates indicate their relative position with respect to the origin:

- On the
**X axis**, horizontal direction, a**positive**value reflects a position to the**right**of the origin. And a**negative**, to the**left**. - On the
**Y axis**, vertical direction, the**positive**value indicates a position**above**the origin while a**negative**value indicates one**below**. - If
**X**has a value of**zero**, the position of the coordinate is not to the right or left of the origin. It would be at**some point on the Y axis**. - If
**Y**has a value of**zero**, the position of the coordinate is not above or below the origin. It would be at**some point on the X axis**. , the origin, is the**O****only position**in which**both values are zero**.

In conclusion, knowing the values of (X,Y) we can know which quadrant that position is in according to the following framework:

If you want to practice and** learn more about the coordinates**, and other primary mathematics topics, go to Smartick and try it for free.

Learn More:

- Coordinates: What They Are Used for and Some Examples with Smartick
- Coordinates: Movements Within the Same Quadrant and Between Them
- Adding and Subtracting Integers
- Learn More about Straight Lines
- Teaching Novelties at Smartick: Tables, Coordinates, and Fraction Problems

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