Section 24.3 Deliberate Practice: Inequalities and the Number Line
Algebra is a skill, which means it requires practice to become proficient. But it will take more than rote repetition to get there. Deliberate practice is the thoughtful repetition of a task. For each of these sections, you will be given a list of specific skills or ideas to focus on as you practice thinking through the problems.
Focus on these skills:
Try to make the spacing as even as possible for the equal increments.
Pick increments that make sense for the problem. Note that the numbers you plot may not always fall precisely on the marked increments.
For each comparison, think through their relative locations ("to the left of `' or "to the right of").
Present your work legibly.
Worksheet Worksheet
Instructions: Draw a number line with equal increments and give the approximate locations of the given numbers, then write all mathematical sentences comparing them to each other.
1.
4, 9, 6
2.
-7, 0, 5
3.
20, -10, -60
4.
-300, 700, 300
5.
31, 55, 22
6.
-27, 14, -49
7.
39, -25, 0
8.
-43, -11, -68
9.
183, 832, 438
10.
-273, 185, -487