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NY Regents Exam - Integrated Algebra: Help and Review24 chapters | 260 lessons

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Lesson Transcript

Instructor:
*Tara Quinn*

In this lesson, we will learn about whole numbers , including what they are and what distinguishes them from other types of numbers. We'll also take a look at a few things about whole numbers that sometimes trip students up.

There are a lot of numbers in the world! Think about it. How many numbers are there really? Are there as many numbers as stars in the sky? Are there as many numbers as grains of sand on all the beaches in the world? No. There are actually more numbers than all of these things!

So exactly how many numbers are there in the world? There's an infinite amount of numbers; that means they go on and on and on and never end. Wow! That's a lot of numbers!

To help themselves keep track of and understand the similarities and differences between numbers, mathematicians have developed a grouping system that categorizes and describes the type of numbers that are out there. In this lesson, we will focus on whole numbers.

**Whole numbers** are a special category or group of numbers that:

- Consist of the numbers: {0, 1, 2, 3, 4, 5, 6, 7, 8...}
- Are all positive numbers, including zero, which do not include any fractional or decimal parts

Whole numbers do not have any fractional parts or any decimal parts. A few things to note here:

- Don't let the notation throw you off. The brackets { } are used to write sets. It's the mathematical notation that says, 'Hey! I've got a special group of things coming up here!' And the ellipse (...) just means they go on and on forever in the same pattern. Note that there are no negative numbers; all whole numbers, except zero, are positive.
- Some people get whole numbers confused with
**natural numbers**- that's understandable, as they are very similar. The difference is that natural numbers (also called counting numbers) do not include zero; whole numbers do include zero. - Remember that categories of numbers overlap. Just like categories of geography (ex. country, state, county, city, street) overlap each other (a street is in a certain city, which is in a certain county, which is in a certain state, etc.), categories of numbers overlap each other, too. So, numbers that are part of the whole numbers can be part of other number groups, too.

Whole numbers often represent the number or amount of things that can only be counted in wholes, not parts. Some examples include:

- The number of people in a room
- The number of birds on a wire
- The number of dogs chasing a car

Some examples of non-whole numbers include:

- A 1/4 cup of flour
- A temperature of -10 degrees
- The mathematical concept of pi (3.14)

**Whole numbers** are positive numbers, including zero, without any decimal or fractional parts. They are numbers that represent whole things without pieces. The set of whole numbers is represented mathematically by the set: {0, 1, 2, 3, 4, 5...}.

After this lesson is done, you should be able to:

- Recall the characteristics of whole numbers
- List some examples of whole numbers
- Write a set of whole numbers using the correct notation

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NY Regents Exam - Integrated Algebra: Help and Review24 chapters | 260 lessons

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