Integers and Rationals
Terms
Absolute Value
-
(Positive) distance between a number and zero on the number line; the
corresponding "unsigned" number.
| - 4| = 4
and
| 4| = 4
.
Counting Numbers
-
Also called natural numbers, the set of positive numbers used to count
objects. 1, 2, 3, 4, 5, ...
Integers
-
The set of numbers including all the whole numbers and their opposites (the
positive whole numbers, the negative whole numbers, and zero) -- fractions and
decimals are not integers. ...
-3
,
-2
,
-1
, 0, 1, 2, 3, ...
Irrational Numbers
-
The set including all numbers that are non-
terminating, non-
repeating decimals.
Natural Numbers
-
The set of positive numbers used to count objects (also called counting
numbers). 1, 2, 3, 4, 5, ...
Negative Numbers
-
The set of numbers to the left of zero on the number line--numbers less than
zero.
Number Line
-
A horizontal line that has points that correspond to numbers. The points are
spaced according to the value of the number they correspond to; in a number line
containing only whole numbers or integers, the points are equally spaced.
Opposite
-
A number that is the same distance from zero as a given number, but on the
opposite side of zero. For example, 7 and
-7
are opposites, and
-9
and 9 are opposites.
Positive Numbers
-
The set of numbers to the right of zero on the number line--numbers greater than
zero.
Rational Numbers
-
The set of numbers including all the integers, plus all the
fractions, or terminating
decimals and repeating
decimals.
Every rational number can be
written as a fraction
a/b
, where
a
and
b
are integers.
Real Numbers
-
The set of all the rational numbers and all the irrational numbers.
Whole Numbers
-
The set of numbers including all the natural numbers and zero--negative
numbers are not whole numbers. 0, 1, 2, 3, 4, ...
