THE REAL NUMBERS AND ABSOLUTE VALUE

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THE REAL NUMBERS AND ABSOLUTE VALUE
SECTION 2.1
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Real Numbers
Irrationals
Rationals
Integers
Whole
Natural
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rational
Real numbers the set of both ____________ and
_______________ numbers.
irrational
ends
Irrational numbers Decimal that never ________
and never ____________.
repeats
Rational numbers Any number that can be written
as a decimal that either ___________ or
___________________.
ends
repeats
Integers -

( _______ , ___________)
( ___________ , _________, ___________)
negatives
zero
positives
zero
postives
( _______ , ____________)
Whole numbers -
postives
( _____________ )
Natural numbers -
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positives
negatives
zero
0
1
2
3
4
-1
-2
-3
-4

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Symbols used for ordering numbers
Less than
Less than or equal to
greater than
greater than or equal to
Equal to
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Example 1 Insert an ordering symbol to make
each statement true.
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Try these.
B.
A.
D.
C.
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On the number line, two numbers that lie on
opposite sides of 0 and are the same
_______________ from 0 are called ______________.
distance
opposites
-6
The opposite of 6 is _____.
3
The opposite of -3 is _____.
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When finding the opposite of any number, use the
opposite symbol.
opposite
opposite
The opposite of a positive is always
__________. The opposite of a negative is always
__________. The opposite of zero is always
_______.
negative
positive
zero
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Example 2 Evaluate each expression
A.
B.
C.
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Try these
D.
E.
F.
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The ________________ of a real number is the
distance it is from ________ on a number line.
absolute value
zero
means the absolute value of
The symbol
Example 3 Simplify
B.
C.
D.
A.
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Try these
E.
F.
G.