Graph integers on horizontal and vertical number lines
key notes ;
- Understanding Number Lines:
- Horizontal Number Line: A straight line where numbers increase to the right and decrease to the left.
- Vertical Number Line: A straight line where numbers increase as you move up and decrease as you move down.
- Plotting Integers on a Horizontal Number Line:
- Draw a horizontal line and mark the center point as 0.
- To the right of 0, mark positive integers at equal intervals (1, 2, 3, …).
- To the left of 0, mark negative integers at equal intervals (-1, -2, -3, …).
- Plotting Integers on a Vertical Number Line:
- Draw a vertical line and mark the center point as 0.
- Above 0, mark positive integers at equal intervals (1, 2, 3, …).
- Below 0, mark negative integers at equal intervals (-1, -2, -3, …).
- Graphing a Single Integer:
- Locate the integer on the number line.
- Draw a dot or a point at the corresponding position.
- Graphing Multiple Integers:
- Repeat the process for each integer, ensuring each point is accurately placed.
- Using the Number Line for Comparison:
- On a horizontal number line, integers to the right are greater.
- On a vertical number line, integers above are greater.
Example Problems
- Graphing Integers on a Horizontal Number Line:
- Example: Plot -3, 0, and 4 on a horizontal number line.
- Draw a horizontal line, mark the center as 0.
- To the right of 0, mark 1, 2, 3, 4.
- To the left of 0, mark -1, -2, -3.
- Place a dot at -3, 0, and 4.
- Graphing Integers on a Vertical Number Line:
- Example: Plot -2, 1, and 3 on a vertical number line.
- Draw a vertical line, mark the center as 0.
- Above 0, mark 1, 2, 3.
- Below 0, mark -1, -2.
- Place a dot at -2, 1, and 3.
Learn with an example
▶️ Graph 0 and –5 on the number line.
Graph 0.
0 is labelled on the number line.
Graph –5. –5 is not labelled on the number line, but it falls halfway between –4 and –6.
The correct answer is:
▶️ Graph 1 and –1 on the number line.
Graph 1.
1 is not labelled on the number line, but it falls halfway between 0 and 2.
Graph –1. –1 is the opposite of 1, and opposites are the same distance away from 0.
The correct answer is:
Graph –2 and –3 on the number line.
Graph–2
. –2 is labelled on the number line.
Graph–3.
–3 is not labelled on the number line, but it falls halfway between –2 and –4.
The correct answer is:
let’s practice!
