A number ‘r’ is called arational number,if it can be written in the form , wherepandqare integers andq≠0. (Why do we insist thatq≠0?) Notice that all the numbers now in the bag can be written in the form , wherepandqare integers andq≠0. For example, –25 can be written as herep= –25 andq= 1.
Chapter 1 Integers 1.1 Introduction We have learnt about whole numbers and integers in Class VI. We know that integers form a bigger collection of numbers which contains whole numbers and negative numbers. What other differences do you find between whole numbers and integers? In this chapter, we will study more about integers, their properties and operations. First of all, we will review and ...
Chapter 1 Knowing our Numbers 1.1 Introduction Counting things is easy for us now. We can count objects in large numbers, for example, the number of students in the school, and represent them through numerals. We can also communicate large numbers using suitable number names.
The number 3 has a predecessor and a successor. What about 2? The successor is 3 and the predecessor is 1. Does 1 have both a successor and a predecessor?
Real Numbers 1.1 Introduction In Class IX, you began your exploration of the world of real numbers and encountered irrational numbers. We continue our discussion on real numbers in this chapter. We begin with two very important properties of positive integers in Sections 1.2 and 1.3, namely the Euclid’s division algorithm and the Fundamental Theorem of Arithmetic. Euclid’s division ...
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