Learning Outcomes:
The student will:
Test your
knowledge of number systems by completing the following 5level game:
 Natural Numbers
 Whole Numbers
 Integers
 Rational Numbers
 Irrational Numbers
Review Number Systems above if you need help. Good Luck!Good Luck!
express an integer
(...3,2,2,0,1,2,3...) or decimal number (3.5, 2.4, 1.6, 0.75, 5.2) as a
fraction.

Review:
This exercise substitutes the name for counting
numbers for
natural numbers. Test your understanding
of whole,
natural/counting, integers, rational and irrational number
systems.
source: NSUMath
1030 Unit 1 Section 1a Author 

Number
Systems
The real number system
is made up of rational and irrational numbers.
 {...2, 1,
0, 1, 2, ...}


 __
 (Q)


Number System 
Symbol 
Origin of Symbol 
Description 
natural 
N 
Natural 
1, 2, 3, ...
Improper fractions, powers and square roots may be
natural numbers if their standard form is a natural number For
example:
6/2 = 3 5^{2} = 25 √16
= 4 
whole 
W 
Whole 
0, 1,
2, 3, ...
Improper fractions, powers and square roots may be
whole numbers if their standard form is a whole number For
example:
9/3 = 3.33... 6^{2} = 36 √49
= 7 
integers 
Z 
Zahlen (German
for numbers) 
...3, 2, 1, 0, 1, 2, 3, ...
Improper fractions, powers and square roots may be
integers if their standard form is an integer number For example:
12/3 = 6 8^{2} = 64 √81 = ± 9 
rational 
Q 
Quotient

Any number that can be written as a fraction where the numerator and denominator
are integers. The resulting decimal will be either repeating
or terminating.
Improper fractions, powers and square roots may be rational numbers
if their st!ndard form is a rational number For example:
13/9 = 1.444
... 8^{2} = 0.015625
(√16)/3 = ±1.333...
Note: the denominator of the fraction
cannot be zero. 
irrational 

Not Quotient 
Any number that cannot be
written as a fraction where the numerator and denominator are integers. Note: Since
irrational numbers cannot be expressed as a fraction they form decimals
that are neither
repeating nor terminating.
Powers, square roots, and some constants may be irrational numbers
if their standard form is an irrational number For example:
p √2 √3 √5 √7 √8
Irrational numbers fill the gaps in the rational number line. 
real 
R 
Real 
Includes the rational and the irrational numbers. 
