Unit 2: Operations with Rational Numbers
Definition: Two different
numbers that have the
same absolute value.
Absolute Value
Definition: The
distance between a
number and zero on
the number line
Opposite Numbers
200 & -200
-75 & 75
Absolute value of -3 =3.
Absolute value of 3 = 3.
Additive
Inverse
Positive Numbers
Number > 0
Definition: The set of
numbers greater than zero.
{1, 2, 3, 4, …}
Definition: The sum of
a number and its
additive inverse is
zero.
Integers
{…, -2, -1, 0, 1, 2, …}
Definition: The set of
whole numbers and
their opposites
{…-3, -2, -1, 0, 1, 2, 3,
…}
Multiplicative
Inverses
Definition: Numbers
are multiplicative
inverses of each other
if they multiply to
equal the identity, 1.
Non-repeating
decimals
Definition: A nonrepeating decimal
neither terminates nor
repeats.
Nonterminating
decimals
Definition: A nonterminating decimal is
a decimal that
continues without
end.
Bar notation
Definition: Bar
notation is used for
repeating decimals. A
bar is drawn over
digits that repeat.
Rational Numbers
Definition: The set of
numbers that can be
𝑎
written in the form where
𝑏
a and b are integers and b ≠
0.
Repeating Decimal
Eight and 1/8 are multiplicative
inverses because 8 times 1/8 = 1.
Definition: A decimal
number in which a digit or
group of digits repeats
without end.
Terminating
Decimal
Definition: A decimal that
contains a finite number of
digits.
Negative Numbers
Definition: The set of
numbers less than zero.
Zero Pair
Definition: Pair of numbers
whose sum is zero.
Number < 0
{…-5, -4, -3, -2, -1}
-5 + 5 = 0