**By: Arianna Jordan**

**REAL NUMBERS DIAGRAM**

Natural numbers start at 1 and goes on and on and on.

No negative numbers and no fractions.

And sometimes it can start with 0.

Natural Numbers are like Counting Numbers" {1, 2, 3, ...}

Natural Numbers

Whole Numbers are numbers that don't include fractions.

Whole Numbers are numbers that don't include decimal parts.

Whole Numbers are numbers that don't include no negatives at all.

Whole Numbers are simply the numbers 0, 1, 2, 3, 4, 5, ... (and so on)

Whole Number

Integers are like whole numbers, but they also include negative numbers.

Integer numbers also are numbers with no fractional part.

integers: -16, -3, 0, 1, 198

Integers Number

Any number that can be made by dividing one integer by another

No Fractions

No Decimals

But Pi is not a rational number, it is an "Irrational Number.

Rational Number

EXAMPLE Of Natural Number

...and more

Example of Whole Numbers

Whole Numbers are simply the numbers 0, 1, 2, 3, 4, 5, ... (and so on)

There is no fractional or decimal part. And no negatives.

Whole Numbers start with zero nothing lower then zero.

...and more

EXAMPLE OF INTEGE NUMBERS.

...and more

We can write them all down like this: {..., -3, -2, -1, 0, 1, 2, 3, ...}

Integers: -16, -3, 0, 1, 198

Natural Numbers are like Counting Numbers" {1, 2, 3, ...}.

Sometime start with zero but not all the time.

Example Of Rational Numbers

Example:2

Number As a Fraction Rational?

5 5/1 Yes

1.75 7/4 Yes

.001 1/1000 Yes

-0.1 -1/10 Yes

0.111... 1/9 Yes

√2

(square root of 2) ? NO !

Example 1. 1.5 is a rational number because 1.5 = 3/2 (it can be written as a fraction)

Irrational Numbers

A Irrational Number is any real number that cannot be expressed as a ratio of integers

Irrational Numbers are those real numbers that cannot be represented as terminating or repeating decimals.

A real number that cannot be written as a simple fraction and the decimal goes on forever without repeating.

Examples Of Irrational Numbers

Example:1

1.5 is rational, because it can be written as the ratio 3/2

7 is rational, because it can be written as the ratio 7/1

Example:2

Examples Of Irrational Numbers.

Real Numbers

Real Numbers are every number that can go on the the number line is a real number.

This includes both the rational and irrational numbers.

...and more

Example:

**Venn Diagram**

**1and**

up numbers

up numbers

0 and up numbers

numbers with no fractional part.

Any number that can be made by dividing one integer by another

every number that can go on the the number line

any real number that cannot be expressed