Natural Numbers, Integers, Rational Numbers Worksheet With Answers - Mathematics Secondary Course
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36MODULE -
1
Number Systems
Algebra
1
Notes
NUMBER SYSTEMS
From time immemorial human beings have been trying to have a count of their
belongings- goods, ornaments, jewels, animals, trees, sheeps/goats, etc. by using various
techniques
- putting scratches on the ground/stones
- by storing stones - one for each commodity kept/taken out.
This was the way of having a count of their belongings without having any knowledge of
counting.
One of the greatest inventions in the history of civilization is the creation of numbers. You
can imagine the confusion when there were no answers to questions of the type “How
many?”, “How much?” and the like in the absence of the knowledge of numbers. The
invention of number system including zero and the rules for combining them helped people
to reply questions of the type:
(i) How many apples are there in the basket?
(ii) How many speakers have been invited for addressing the meeting?
(iii) What is the number of toys on the table?
(iv) How many bags of wheat have been the yield from the field?
The answers to all these situations and many more involve the knowledge of numbers and
operations on them. This points out to the need of study of number system and its extensions
in the curriculum. In this lesson, we will present a brief review of natural numbers, whole
numbers and integers. We shall then introduce you about rational and irrational numbers in
detail. We shall end the lesson after discussing about real numbers.
OBJECTIVES
After studying this lesson, you will be able to
•
illustrate the extension of system of numbers from natural numbers to real
(rationals and irrational) numbers
Mathematics Secondary Course
3
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