Graph integers on horizontal and vertical number lines

Graph integers on horizontal and vertical number lines by Delta publications

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:
Graphing Integers on a Vertical Number Line:

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!