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,
Whole Numbers
0, 1, 2, 3, 4, 5, 6,
Natural Numbers
1, 2, 3, 4, 5, 6,
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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
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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.
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Common Perfect Squares
Here is a list of the first 20 perfect squares.
I should probably try to remember those.
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Evaluating Square Roots
A number is a Perfect Square if it is the product
of two Identical Factors.
Evaluate the following radicals
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More Evaluating Radicals
These are all Rational Numbers
These are all Irrational Numbers
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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
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Homework
Page 20 10 22 28 - 36 Even Numbers Only
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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.
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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.
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Repeating Decimals
The same number, or pattern of numbers, repeats.

That was easy
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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
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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
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Ordering Numbers from Least to Greatest
Order the numbers in each group from least to
greatest.
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Homework
Page 20 38 - 50 Even Numbers Only