Ordering Integers

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  • 0:05 Integers
  • 1:10 Comparing Integers
  • 2:14 From Least to Greatest
  • 2:49 From Greatest to Least
  • 3:21 Lesson Summary
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Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After viewing this lesson, you should be able to order integers from least to greatest or from greatest to least. Learn how to compare integers so that you can place them in the right location.

Integers

In this lesson, we will talk about ordering integers. An integer is a number without any decimal portion. They are like whole numbers except integers include both positive and negative numbers. So 1, 2, 3 are integers as are -1, -2, and -3.

Learning to put integers in order is actually a pretty useful skill to have. It's definitely a skill that you can apply at work when you need to put certain items in order. If you can keep track of your important documents and papers, you will also need to know how to order integers. Many times, your important documents and papers will have a number attached to them. Using this number to put them in order can help you to find it later. Let's take a look and see how.

Meet Sarah. She works at a local design shop where she is in charge of keeping track of all the designs. Each design has an integer number associated with it. Sarah uses this number to file her designs. She has just been given a stack of designs to file. The numbers on these designs are 45, 90, 120, 3, and 12.

Comparing Integers

In order to file these designs away, Sarah needs to put them in order. To begin, Sarah needs to compare her integers to each other. She needs to know which integers are greater and which are lesser.

She begins with the first two integers, the 45 and the 90. Which integer is greater and which is smaller? Well, if Sarah located these integers on her number line, she would see that the 45 is less than the 90; the 90 is greater than the 45. Next, she compares the next integer to the first two. Is the 120 greater than the 45? Is the 120 greater than the 90? Yes, the 120 is greater than both of these integers. What about the next integer, the 3? How does this compare with the 120, the 45, and the 90? Looking at the number line, Sarah sees that the 3 is the smallest so far. Sarah has one last integer to compare, the 12. How does the 12 compare to the other numbers? Sarah looks at her number line again. She sees that the 12 is greater than the 3 and less than the 45. Now that Sarah has compared all her numbers, she is ready to put them in order.

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