1-3 Exploring Real Numbers

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# 1-3 Exploring Real Numbers - PowerPoint PPT Presentation

1-3 Exploring Real Numbers. Classifying Numbers. 1, 2, 3, 4…. Let’s start on the inside…what are natural numbers?. Natural numbers are the counting numbers… 1, 2, 3, 4 …. Classifying Numbers. 0, 1, 2, 3…. 1, 2, 3, 4…. Next come the whole numbers.

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## 1-3 Exploring Real Numbers

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### 1-3 Exploring Real Numbers

Classifying Numbers

1, 2, 3, 4…

Let’s start on the inside…what are natural numbers?

Natural numbers are the counting numbers…

1, 2, 3, 4 …

Classifying Numbers

0, 1, 2, 3…

1, 2, 3, 4…

Next come the whole numbers

Whole numbers are zero and the natural numbers.

-2, -1, 0, 1, 2…

Classifying Numbers

0, 1, 2, 3…

1, 2, 3, 4…

Integers

Integers are whole numbers and their opposites.

-2, -1, 0, 1, 2…

Classifying Numbers

0, 1, 2, 3…

1, 2, 3, 4…

Rational numbers can be written in the form and

Includes all repeating and terminating decimals

-2, -1, 0, 1, 2…

Classifying Numbers

0, 1, 2, 3…

1, 2, 3, 4…

π

Irrational numbers cannot be written in the form

Includes all non-repeating and non-terminating decimals.

-2, -1, 0, 1, 2…

Classifying Numbers

0, 1, 2, 3…

1, 2, 3, 4…

π

Real numbers are all the numbers on the continuous number line with no gaps. Real numbers may be rational or irrational.

-2, -1, 0, 1, 2…

Classifying Numbers

0, 1, 2, 3…

1, 2, 3, 4…

π

Real numbers are all the numbers on the continuous number line with no gaps. Real numbers may be rational or irrational.

So what other type of number can there be?

Real numbers are all the numbers on the continuous number line with no gaps. Real numbers may be rational or irrational.

Classifying Numbers

So what other type of number can there be?

Imaginary numbers 

Inequality

There are 5 types:

Comparing Numbers

>

greater than

greater than or equal to

<

less than

less than or equal to

not equal to

Absolute Value is a distance

It tells how far a number is from zero

A distance can NEVER be negative