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Math for Kids23 chapters | 325 lessons

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Lesson Transcript

Instructor:
*T.J. Hoogsteen*

T.J. is currently a grade 5 teacher and Vice-Principal. He has a master's degree in Educational Administration and is working toward an Ed.D. in Educational Leadership.

When numbers are in counting order, they are also in consecutive order. This lesson will review the three different types of consecutive numbers (counting order, even, and odd),

Jeff and Omar were sitting around and talking about great sports teams. Jeff's friend brought up the New York Yankees dynasty from the late 1990s. He said that the Yankees won the World Series for three consecutive years starting in 1998. Omar, knowing the first World Series was won in 1998, tried to think of the years that the other two titles were won.

How could he figure that out? First, he would have to figure out what the consecutive numbers are that come after 1998. To do that, knowing what consecutive means would help. **Consecutive** means to follow continuously in a series or sequence. So that means consecutive numbers are numbers that follow each other in order.

Another thing to think about when solving the above problem is that there are three different kinds of consecutive numbers: consecutive numbers, even consecutive numbers, and odd consecutive numbers.

**Consecutive numbers** are numbers that follow each other in order from smallest to largest, what we call regular counting order. Let's take a look at some examples:

You can see that in each of these three series, the numbers go up by one each time, in sequence and without skipping any numbers in between. They are all series of consecutive numbers.

**Even consecutive numbers** are even numbers that follow in order from smallest to largest when you are counting by twos. Some examples of even consecutive numbers include:

As you might have guessed, **odd consecutive numbers** are numbers that follow each other in order from smallest to largest, but only include odd numbers. Some odd consecutive number series include:

To go back to trying to figure out the other years the Yankees won the World Series, Omar had to figure out the two consecutive years that came after 1998. Jeff didn't say the Yankees won consecutive World Series in even years or odd years, so the next two World Series titles came directly after 1998. That would make the missing two years 1999 and 2000 because those are the numbers that follow directly after 1998.

In summary, **consecutive numbers** are numbers that go in order from smallest to largest. There are a few different kinds of consecutive numbers. There are those that just go in order from smallest to largest, like the number series 1, 2, 3, 4. There are **even consecutive numbers**, that is, numbers that are even and go in order from smallest to largest, such as the series 2, 4, 6, 8. Finally, there are **odd consecutive numbers**, odd numbers that go in order from smallest to largest; for example: 1, 3, 5, 7, 9.

After watching this lesson, you should be able to explain what consecutive numbers are and identify them.

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Math for Kids23 chapters | 325 lessons

{{courseNav.course.topics.length}} chapters | {{courseNav.course.mDynamicIntFields.lessonCount}} lessons | {{course.flashcardSetCount}} flashcard set{{course.flashcardSetCoun > 1 ? 's' : ''}}

- What is an Abundant Number?
- What is a Base Number?
- What Are Cardinal Numbers? - Definition & Examples 3:06
- What Are Consecutive Numbers? - Definition & Examples 3:22
- What is a Cubed Number?
- What is a Deficient Number?
- What Are Figurate Numbers? - Definition & Examples
- What Are Opposite Numbers? - Definition & Examples 2:53
- What Are Rectangular Numbers? - Definition & Examples 3:05
- Like & Unlike Terms
- Is Zero an Integer?
- Is Zero a Natural Number? 2:37
- Sieve of Eratosthenes: Lesson for Kids
- What Are Twin Prime Numbers? 3:22
- Go to Types of Numbers for Elementary School

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