Recognizing & Representing Whole Numbers

Recognizing & Representing Whole Numbers
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  • 0:05 Whole Numbers
  • 0:46 Standard Form
  • 1:36 Expanded Form
  • 3:08 Word Form
  • 4:00 Lesson Summary
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Instructor: Yuanxin (Amy) Yang Alcocer

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

Watch this video lesson to learn how you can recognize the three different forms we have for writing our whole numbers. Also learn how you can represent any whole number using any one of these three forms.

Whole Numbers

In this lesson, we will learn about the three different forms that our whole numbers can be written in. Our whole numbers are those numbers without a fraction or decimal part. These numbers are also all positive. They are not negative. We use whole numbers a lot in our everyday life. We use them to tell which hour it is. Just look at your clock, and you will see whole numbers telling you what hour it is and how many minutes have passed. We also use whole numbers when we go shopping, and we tell the produce person that we want ten apples so we can make some apple pie. In each of these instances, we have used a different form for our whole number. Let's cover these in detail now.

Standard Form

The whole numbers we see when we want to know the time are usually given in standard form. Standard form uses the Arabic numbers to represent a number. So, if it is the seventh hour, you would use 7 to represent the seventh hour. If you are telling someone that you are fourteen years old, then you would use 14 for your age. If your number is more than three digits long, you will need a comma to separate groups of three digits starting from the right. So, four thousand is written as 4,000. This is the form that is used most often in math classes and pretty much everywhere else that you see numbers. Even though this is the most common, you still want to learn about the other forms for writing whole numbers because you might come across these in math tests, and it will make your life easier if you can recognize these other forms when you see them.

Expanded Form

Another way to represent whole numbers is with the expanded form. This form uses addition of place values to represent a number. For example, if your age is 14, you would write 10 + 4 in expanded form to represent your age. What we have done here is we have used our place values, and we have added them. We start from the left and work our way to the right. Our first non-zero digit is the 1 in the tens place, so we have a 10. Our next non-zero digit is the 4 in the ones place, so we add a 4 to the 10 to get 10 + 4. Sometimes, for larger numbers, we might have a 0 somewhere in the number. What do we do when this happens? We skip it. The number 304, for example, is 300 + 4 in expanded form. Our first non-zero digit is the 3 in the hundreds place, which gives us our 300. Our next non-zero digit is the 4 in the ones place, so we add the 4 to the 300.

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