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# Real Numbers

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by

## Dennis Solano

on 22 July 2013

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#### Transcript of Real Numbers

REAL NUMBERS, INEQUALITIES AND ABSOLUTE VALUE
Represent number sets using a Venn diagram
Plot a number on a number line
Determine the order of real numbers
Find the absolute value of a number
1
2
Find the opposite of a real number
3
4
5
Z = 1, 2, 3, 4, 5,...
COUNTING NUMBERS
NATURAL NUMBERS
POSITIVE INTEGERS
+
W= 0, 1, 2, 3, 4, 5,...
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,...
WHOLE NUMBERS
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,...
...-2, -1, 0, 1, 2, 3, 4, 5, ...
As we continue to count backwards, we unravel the set of negative integers.
Q
Z
z
-
z
+
W
RATIONAL NUMBERS
IRRATIONAL NUMBERS
Q = p and q are integers and q = 0
p
q
set of decimals that neither repeating nor terminating
0
1
2
3
4
5
3.1415...
-6
-5
-4
-3
-1
6
3/4
-4.25
2
1.4142...
-1/2
What is a number line?
How do we plot numbers in a number line?
The number line is a visual representation of the real number system
In the number line, any real number is always greater than the number on its left.
Opposite?? What opposite?
Every real number except ZERO has an opposite.
So what's the opposite of 7?
So what's the opposite of -18?
What's the opposite of 1/4?
What is the opposite of-2/3?
What about the opposite of the opposite of 54?
Inequalities??
Q'
R
Real numbers
So what are the important concepts of today's lesson?
THANK YOU!
Full transcript