Real Number System
integer
-13
Rational
-2.6
Integers
...-4, -3, -2, -1, 0, 1, 2, 3, 4... All positive and negative numbers, plus the zero BUT NO FRACTIONS OR DECIMALS!
whole
0
Whole numbers
0, 1, 2, 3, 4, 5,... Remember "whole" has what looks like a "zero" in the middle of the word.
Natural numbers
1, 2, 3, 4, 5,.... Sometimes called "counting numbers" (Think of your fingers)
Rational
2/3
Natural
25/5
Rational
3/5
Repeating Decimal
A decimal in which a pattern of one or more digits is repeated indefinitely
Terminating Decimal
A decimal that ends
Irrational numbers
Any number that CAN NOT be written as a fraction (non-terminating, non-repeating decimal numbers).
Ratonal numbers
Any number that can be written as a fraction (a/b) where b is not zero. This includes all terminating or repeating decimal numbers.
Natural numbers
Counting numbers
Whole numbers
Counting numbers and zero
True or False: All integers are whole numbers.
False
True or False: The number .262662666266662... is a rational number.
False
True or False: Zero is an irrational number.
False
-46, -30, 167, 3,208
Integers
π, √2, √5,√10
Irrational numbers
Integers
Negitive and positive natural numbers
Irrational numbers
Nonrepeating, nonterminating decimals
Rational Number
Numbers that can be written as a fraction
rational
Numbers that can be written as a fraction. Includes decimals that end or repeat
irrational
Numbers that can't be written as a fraction. Includes decimals that don't end or repeat
whole
Only positive whole numbers and zero
integers
Positive and negative whole numbers and zero
0, 1/2, 52.324, 32, 3¾
Rational numbers
True or False: All rational numbers are real numbers.
True
True or False: All whole numbers are integers.
True
whole numbers
all positive integers (including zero)
integers
all whole numbers (both positive and negative) and zero
-5
integer
-9.876.....
irrational
-√2
irrational
0.8976321...
irrational
2.3987432...
irrational
pi
irrational
|√7|
irrational
√12
irrational
7
natural
1, 39, 42, 608
natural numbers
rational numbers
numbers that can be expressed as a ratio or fraction
irrational numbers
numbers that can not be expressed as a ratio or fraction
1.8
rational
1.888...
rational
12.14
rational
3.4
rational
4.3
rational
7/9
rational
8.6
rational
8/5
rational
|5| - 3
rational
½
rational
¾
rational
0
whole
Irrational
π
Irrational
√17
Irrational
√3
