Download REAL NUMBERS

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