# The%20Real%20Number%20System - PowerPoint PPT Presentation

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## The%20Real%20Number%20System

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### The Real Number System Real Numbers Irrational Numbers Rational Numbers... -1.5, -1, -0.5, 0, 0.5, 1, 1.5, Integers... -3, -2, -1, 0, 1, 2, 3, – PowerPoint PPT presentation

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Title: The%20Real%20Number%20System

1
The Real Number System
Real Numbers
Irrational Numbers
Rational Numbers
... -1.5, -1, -0.5, 0, 0.5, 1, 1.5,
Integers
... -3, -2, -1, 0, 1, 2, 3,
Whole Numbers
0, 1, 2, 3, 4, 5, 6,
Natural Numbers
1, 2, 3, 4, 5, 6,
2
The Real Number Line

-5 -4 -3 -2 -1 0
1 2 3 4 5
-5 -4 -3 -2 -1 0
1 2 3 4 5
-5 -4 -3 -2 -1 0
1 2 3 4 5
Natural Numbers
Whole Numbers
Integers

-5 -4 -3 -2 -1 0
1 2 3 4 5
-4.5 -2.5
0.33 1.7 2.9 4.1
Remember that Irrational Numbers do not have an
exact point on the number line.
Rational Numbers
Irrational Numbers
3
Square Roots
A number is a Perfect Square if it is the product
of two Identical Factors.
These are all perfect squares because they are
the product of two identical factors.
4
Common Perfect Squares
Here is a list of the first 20 perfect squares.
I should probably try to remember those.
5
Evaluating Square Roots
A number is a Perfect Square if it is the product
of two Identical Factors.
6
These are all Rational Numbers
These are all Irrational Numbers
7
More Irrational Roots
Irrational Roots will always fall between two
consecutive integers.
Between what two consecutive integers is each
square root?
Between 5 and 6
Between -12 and -11
Between 14 and 15
Asi De Facil
That was easy
8
Homework
Page 20 10 22 28 - 36 Even Numbers Only
9
Expressing a Decimal as a Rational Number
A rational number is any number that can be
written in the form
Write the fraction as the given number over the
place value. Reduce the resulting fraction if
possible.
10
Expressing Rational Numbers as a Decimal
A rational number is any number that can be
written in the form
Common Fractions
Decimal Fractions

Written with a numerator and a denominator.
The numerator is written after the decimal point
and the denominator is indicated by the place
value of the last digit.
To express as a decimal, perform the division.
These are all terminating decimals.
11
Repeating Decimals
The same number, or pattern of numbers, repeats.

That was easy
12
Symbols of Inequality
Symbol
Example
Written in Words
9 is greater than 2
2 is less than 9
9 is greater than or equal to 2
2 is less than or equal to 9
2 is not equal to 9
13
Comparing Real Numbers
Compare the following numbers with an inequality
symbol.

Write each as a decimal
Compare the decimals
Write the answer with the original numbers
14
Ordering Numbers from Least to Greatest
Order the numbers in each group from least to
greatest.
15
Homework
Page 20 38 - 50 Even Numbers Only