# Real Number Chart

```LSC-O Learning Center
Real Number Chart
β
Real Numbers
(409) 882-3373
Ron E. Lewis Library
building, rm. 113
Includes all Rational and Irrational Numbers
3
− , −1, 0 , 1, √2, π, 6.35, 273
5
β stands for
“quotient.”
β
Rational Numbers
Irrational Numbers
Can be expressed as a ratio of two Integers: a/b, (b ≠ 0); such ratios
(fractions) can be expressed as terminating or repeating decimals
1
3
−6, − (−0.333 . . . ), 0, (0.75), 25
3
4
3
∗ ππππ πππππ πππ ππππππππ: √100 = 10, √8 = 2
Non-Integer Rational Numbers
Fractions, terminating and repeating decimals
1
9
13
(0.8181 . . . ),
− (−0.5),
(1.3)
2
11
10
All Real Numbers that are NOT Rational Numbers; cannot be expressed as
fractions, only non-repeating, non-terminating decimals
3
*Even roots (such as square roots) that don’t simplify to whole numbers are irrational.
*Odd roots (such as cube roots) that don’t simplify to whole numbers are irrational.
∗ ππ (π), πΈπΈπΈπΈπ ′ π  ππππππ (β―), πππ π‘βπ πΊπΊπΊπΊπΊπΊ πππππ (π) πππ ππππππππππ.
β€
Integers
Positive and Negative Non-fractional Rational
Numbers, including Zero
. . . −3, −2, −1, 0, 1, 2, 3, . ..
Positive Integers, including Zero
0. 1. 2, 3, . . . , 476, . ..
Negative Integers
. . . −476, . . . , −3, −2, −1
http://www.lsco.edu/learningcenter/math.asp
β€ stands for
“zahlen,” German
for “numbers.”
π
Whole Numbers
Negative Numbers
Find this and other math
resources on the LSC-O
Learning Center Math
Tutorials page.
3
−√2 , − √5 , √21, √81, √101 , π, β―, π
Zero
0
β
Natural Numbers
Counting Numbers
1, 2, 3, . . . , 476, . . .
EP, 7/2013
```