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Transcript
REAL NUMBERS
Rationals
Irrationals
Numbers that can Numbers that
be written as a
cannot be written
fraction of integers as a fraction of
integers
Natural Numbers Non-terminating,
Non-repeating
Whole Numbers
Decimals
Integers
Fractions
Mixed Numbers SOME Radicals
Repeating
Decimals
Terminating
Decimals
SOME Radicals
Number Sets
Know the set notations as well!
Integers
the whole numbers and their
opposites
{ . . . , -3, -2, -1, 0, 1, 2, 3, . . . }
Wholes
have no fraction or decimal parts
{ 0, 1, 2, 3, 4, 5, . . . }
Naturals
also called the counting numbers
{ 1, 2, 3, 4, 5, 6, . . . }
Complex Fraction
a fraction that has one or more
fractions in the numerator or
denominator
A more “common sense”
definition: a fraction that contains
more fractions
Pay close attention to where the
“main” fraction bar is
Simplifying Fractional
Expressions
Remember to “separate and simplify.”
Cannot cancel out pieces or parts
Knowing how to do this correctly will be
very important when you get to
simplifying rational expressions later in
this course!
10c + 35 = 10c + 35 =
5
5
5
2c + 7
4d – 14f = 4d – 14f =
8
8
8
d – 7f
2 4
28m + 5 = 28m + 5 =
7
7
7
4m + 5
7
