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3rd-5th Grade Math: Practice & Review37 chapters | 252 lessons

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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.

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.

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.

There are two ways that Sarah can order her integers. The first way is to order them from least to greatest. This is called **ascending order**. Using this order, she would put the design with the smallest integer first and then she would put the other designs to the right of it in ascending order. The integers would get larger and larger. So for her stack of designs, she would begin with the 3 because that is the smallest. Next comes the 12, then the 45, then the 90, and finally the 120. So her integers in ascending order are 3, 12, 45, 90, and 120.

The other way Sarah can order her integers is from greatest to least. This is called **descending order**. In this order, she would put the design with the largest integer first and the other designs would come next in descending order. Her integers would keep getting smaller and smaller. In this order, the 120 comes first because that is the largest integer. Then comes the 90, followed by the 45, the 12, and then the 3. Her integers in descending order are 120, 90, 45, 12, and 3.

Let's review what we've learned.

An **integer** is a positive or negative number without any decimal portion. To put integers in order, you need to compare them to each other to know which are greater and which are lesser. There are two ways you can order integers. You can put them in **ascending order**, or from least to greatest. You can also put them in **descending order**, or from greatest to least.

After you are done with this lesson, you should be ready to accomplish the following:

- Define integer
- Describe the importance of ordering integers
- Determine how to order integers by ascending order
- Detail the descending order for organizing integers

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3rd-5th Grade Math: Practice & Review37 chapters | 252 lessons

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