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

  1. 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.
  1. 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 5 and – 5 on the number line.

  • Find 5 and –5 on the number line. 5 is positive, so it is to the right of 0. –5 is negative, so it is to the left of 0.
  • Graph the points.
  • Notice that 5 and –5 are the same distance from 0. This means they are opposite numbers.

🔥Graph 5 and –5 on the number line.

  • Find 5 and –5 on the number line. 5 is positive, so it is to the right of 0. –5 is negative, so it is to the left of 0.Graph the points.
  • Notice that 5 and –5 are the same distance from 0. This means they are opposite numbers.

🗼 Graph –3 and –5 on the number line

  • Find -3 and -5 on the number line. -3 and -5 are negative, so they are to the left of 0.
  • Graph the points

Try some practice problems!