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Real Numbers

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by

Jennifer Carruth

on 23 June 2013

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Transcript of Real Numbers

Real Numbers
symbol
real numbers:
the set of rational &
irrational numbers
Rational
Numbers
Irrational
Numbers
Rational
Numbers

Irrational
Numbers

rational numbers:
numbers that repeat
or terminate
examples:
0 100 2.333333...
1/2 5/8
which of the following
is a rational number?
a) 15
b) 3.1459...
c) 62.8903
d) 5.11111...
symbol
a) 15 - it terminates
c) 62.8903 - it terminates
d) 5.11111... - it repeats

b is not because 3.1459... does not terminate or repeat
Integers
all integers are
rational!
symbol
integers:
positive & negative
whole numbers
(no decimals or fractions)
examples:
...-3, -2, -1, 0, 1, 2, 3...
which of the following are integers?
a) 1.5
b) 0
c) 3/7
d) -100
b) 0 is an integer & rational
d) -100 is an integer & rational

a & c are not because integers are positive or negative whole numbers. a & c are still rational
Whole
Numbers
all whole numbers
are integers
(all integers are
rational)
whole numbers:
counting numbers
and zero
(no decimals,
no fractions,
no negatives)
examples:
0, 1, 2, 3...
which of the following
is an integer?
a) -4
b) 0.5
c) 1,000
d) 0
c) 1,000 is an integer because it's a counting number
d) is an integer because it's zero

a and b are not integers because a is negative and b is a decimal
Full transcript