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# REAL NUMBERS DIAGRAM

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## Arianna Jordan

on 27 October 2014

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#### Transcript of REAL NUMBERS DIAGRAM

By: Arianna Jordan
REAL NUMBERS DIAGRAM
Natural numbers start at 1 and goes on and on and on.
No negative numbers and no fractions.
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.
...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, ...}.
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

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
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