example
Plot the numbers on a number line:
- [latex]3[/latex]
- [latex]-3[/latex]
- [latex]-2[/latex]
Solution
Draw a number line. Mark [latex]0[/latex] in the center and label several units to the left and right.
1. To plot [latex]3[/latex], start at [latex]0[/latex] and count three units to the right. Place a point as shown in the number line below.
2. To plot [latex]-3[/latex], start at [latex]0[/latex] and count three units to the left. Place a point as shown in the number line below.
3. To plot [latex]-2[/latex], start at [latex]0[/latex] and count two units to the left. Place a point as shown in the number line below.
In the video below we show more examples of how to plot integers on a number line.
https://youtu.be/jlc-m5sXNug
example
Order each of the following pairs of numbers using [latex]<[/latex]; or [latex]\text{>:}[/latex]
[latex-display]14[/latex]___[latex]6[/latex-display]
[latex-display]-1[/latex]___[latex]9[/latex-display]
[latex-display]-1[/latex]___ [latex]- 4[/latex-display]
[latex-display]2[/latex]___ [latex]- 20[/latex-display]
Answer:
Solution:
Begin by plotting the numbers on a number line as shown in the number line below.
1. Compare [latex]14[/latex] and [latex]6[/latex]. |
[latex]14___6[/latex] |
[latex]14[/latex] is to the right of [latex]6[/latex] on the number line. |
[latex]14>6[/latex] |
2. Compare [latex]−1[/latex] and [latex]9[/latex]. |
[latex]-1___9[/latex] |
[latex]−1[/latex] is to the left of [latex]9[/latex] on the number line. |
[latex]-1<9[/latex] |
3. Compare [latex]−1[/latex] and [latex]−4[/latex]. |
[latex]-1___ - 4[/latex] |
[latex]−1[/latex] is to the right of [latex]−4[/latex] on the number line. |
[latex]-1>-4[/latex] |
4. Compare [latex]2[/latex] and [latex]−20[/latex]. |
[latex]-2___ - 20[/latex] |
[latex]2[/latex] is to the right of [latex]−20[/latex] on the number line. |
[latex]2>-20[/latex] |
In the video below we show more examples of how to use inequality symbols to compare integers.
https://youtu.be/YzTGfD6kw-s