# Real Number Chart

LSC-O Learning Center
Real Number Chart
3
Real Numbers
, −1, 0 , 1, √2, ��, 6.35, 273
ℚ stands for
Includes all Rational and Irrational Numbers
5
“quotient.”
Irrational Numbers
Rational Numbers
All Real Numbers that are NOT Rational Numbers; cannot be expressed as
− √ 2 , − √5
, √ 21, √ 81
, √ 101 , ��, ℯ, ��
Can be expressed as a ratio of two Integers: a/b, (b ≠ 0); such ratios
3
3
fractions, only non-repeating, non-terminating decimals
1
3
−6, −
(−0.333 . . . ), 0,
(0.75), 25
(fractions) can be expressed as terminating or repeating decimals
3
4
*Even roots (such as square roots) that don’t simplify to whole numbers are irrational.
∗ �������� ���������� ������ ����������������: √100 = 10, √8
= 2
∗ ���� (��), ����������
�� ������������ (ℯ), ������ ��ℎ�� ������������ ���������� (��) ������ ��������������������.
3
*Odd roots (such as cube roots) that don’t simplify to whole numbers are irrational.
Non-Integer Rational Numbers
1
9
13
Integers
(−0.5),
(0.8181 . . . ),
(1.3)
Fractions, terminating and repeating decimals
2
11
10
stands for
Positive and Negative Non-fractional Rational
. . . −3, −2, −1, 0, 1, 2, 3, . ..
Numbers, including Zero
“zahlen,” German
for “numbers.”
��
Whole Numbers
Negative Numbers
0. 1. 2, 3, . . . , 476, . ..
. . . −476, . . . , −3, −2, −1
Positive Integers, including Zero
Negative Integers
Zero
Natural Numbers
0
Counting Numbers
1, 2, 3, . . . , 476, . . .
EAP 7/2012