The question
Question: which quadrant is (3, 2) in?
(3, 2)
1 Read the signs
The first number is x.
3 is positive.
So the point is right of the y-axis.
x = 3 → +
The second number is y.
2 is positive.
So the point is above the x-axis.
y = 2 → +
2 Name the quadrants
Draw the grid.
The two axes cut it into four parts.
Each part is called a quadrant.
3 Find the quadrant
Right and up: (+, +).
That is quadrant Ⅰ.
= (+, +) → quadrant I
4 Check
Let's check: plot it.
From 0, go right 3.
Then go up 2.
Put a dot.
The dot is in quadrant Ⅰ.
So the answer is right!
Let's look back.
First: read the signs.
Then: name the quadrants.
Then: find the quadrant.
Last: check.
Answer = (+, +) → quadrant I
▶ Watch it solved
The question
Question: which quadrant is (0, 4) in?
(0, 4)
1 Read the signs
The first number is x.
It is 0.
So the point is on the y-axis: not left, not right.
x = 0 → on the y-axis
The second number is y.
4 is positive.
So the point is above the x-axis.
y = 4 → +
2 Name the quadrants
Draw the grid.
The two axes cut it into four parts.
Each part is called a quadrant.
3 Find the quadrant
x is 0, so the point is on the y-axis.
A point on an axis is not inside any quadrant.
= (0, +) → on the y-axis
Careful!
(0, 4) is on the line between quadrant Ⅰ and quadrant Ⅱ.
So it is in neither of them.
Careful: on an axis → in no quadrant
4 Check
Let's check: plot it.
From 0, go up 4.
Put a dot.
The dot is on the y-axis, not inside a quadrant.
So the answer is right!
Let's look back.
First: read the signs.
Then: name the quadrants.
Then: find the quadrant.
Last: check.
Answer Careful: on an axis → in no quadrant
▶ Watch it solved
The question
Question: which quadrants are A (3, 5), B (−2, −4) and C (5, −1) in?
A (3, 5) B (−2, −4) C (5, −1)
1 Read the signs
The first number is x.
The second is y.
We only need their signs.
x first, y second
A is (3, 5): x is positive, y is positive.
A: +, +
B is (−2, −4): x is negative, y is negative.
B: −, −
C is (5, −1): x is positive, y is negative.
C: +, −
2 Name the quadrants
Draw the grid.
The two axes cut it into four parts.
Each part is called a quadrant.
3 Find the quadrants
A: right and up: (+, +).
That is quadrant Ⅰ.
= A (+, +) → quadrant I
B: left and down: (−, −).
That is quadrant Ⅲ.
= B (−, −) → quadrant III
C: right and down: (+, −).
That is quadrant Ⅳ.
= C (+, −) → quadrant IV
So: A in quadrant Ⅰ, B in quadrant Ⅲ and C in quadrant Ⅳ.
= A: I, B: III, C: IV
Careful!
We count against the clock.
Ⅱ is the top left.
Counting the other way swaps Ⅱ and Ⅳ.
Careful: not C: II ✗
4 Check
Let's check: plot them.
A: right 3, up 5.
It is in quadrant Ⅰ.
B: left 2, down 4.
It is in quadrant Ⅲ.
C: right 5, down 1.
It is in quadrant Ⅳ.
Every dot is where we said.
So the answer is right!
Let's look back.
First: read the signs.
Then: name the quadrants.
Then: find the quadrants.
Last: check.
Answer Careful: not C: II ✗
▶ Watch it solved
