This document discusses different types of number systems. It explains that a numeral system is a writing system for expressing numbers using symbols in a consistent manner. It then defines and provides examples of natural numbers, whole numbers, rational numbers, integers, and irrational numbers. Irrational numbers are highlighted as having decimal values that continue forever without repeating patterns, with pi given as a well-known example.

2. S.no
Title Pg.no
1. Acknowledgement 3
2. Number system 4
3. What is number system? 5
4. Parts of number system 6
5. Explanation 7-11
6. Simple positive numbers 12-13
7. Summary 14-16
8.

5. A numeral system (or system
of numeration) is a writing
system for expressing
numbers, that is, a
mathematical notation for
representing numbers of a
given set, using digits or
other symbols in a consistent
manner.

7. The Natural Numbers are those used for counting.
Properties of the natural numbers related to divisibility.
There is no universal agreement about whether to
include zero in the set of natural numbers.

8. Whole numbers are easy to remember.
The only thing that makes them different than
natural numbers is that we include the zero
Whole numbers are 1, 2, 3, 4, and mire

9. Rational numbers have integers AND fractions
AND decimals.
Now you can see that numbers can belong to
more than one classification group.
Rational numbers can also have repeating
decimals

10. Integers can be whole numbers or they can be
whole numbers.
Whole numbers with a negative signs in
front of them.
Individuals often refer to integers as the positive
and negative numbers.

11. However, irrational numbers can have a
decimal value that continues forever
WITHOUT a pattern
Irrational numbers don't include integers OR
fractions.
An example of a well known irrational number is pi which as we
all know is 3.14 but if we look deeper at it, it is actually
3.14159265358979323846264338327950288419.....and this goes on
for somewhere around 5 trillion digits!