NUMBER SYSTEMS
1. CHAPTER 1. NUMBER SYSTEMS. 1.1 Introduction. In your earlier classes Solution 1 : Recall that to find a rational number between r and s
NUMBER SYSTEMS
1. CHAPTER 1. NUMBER SYSTEMS. 1.1 Introduction. In your earlier classes Solution 1 : Recall that to find a rational number between r and s
CBSE NCERT Solutions for Class 9 Mathematics Chapter 1
the square root of a number that is a rational number. Solution: Page 3. Class- XI-CBSE-Mathematics. Number System.
NUMBER SYSTEMS
recurring while the decimal expansion of an irrational number is non-terminating non-recurring. NUMBER SYSTEMS. CHAPTER 1. 16/04/18
RS Aggarwal Solutions Class 9 Maths Chapter 1- Number Systems
RS Aggarwal Solutions for Class 9 Maths Chapter 1 –. Number Systems. Exercise 1(F). PAGE: 43. 1. Write the rationalising factor of the denominator in.
RS Aggarwal Solutions Class 9 Maths Chapter 1- Number Systems
RS Aggarwal Solutions for Class 9 Maths Chapter 1 –. Number Systems. Exercise 1(B). PAGE: 18. 1. Without actual division find which of the following
RS Aggarwal Solutions Class 9 Maths Chapter 1- Number Systems
RS Aggarwal Solutions for Class 9 Maths Chapter 1 –. Number Systems. Exercise 1(D). PAGE: 27. 1. Add. (i). (2 ? – 5 ? ) and (? + 2 ? ).
NUMBER SYSTEMS
Number Systems. Notes. Mathematics Secondary Course. MODULE - 1. Algebra. 3. 1. NUMBER SYSTEMS. From time immemorial human beings have been trying to have a
RS Aggarwal Solutions for Class 9 Maths Chapter 1
RS Aggarwal Solutions for Class 9 Maths Chapter 1 –. Number Systems. Exercise 1(G) page: 53. 1. Solution: (i). 2. 2. 3 × 2. 1. 3. It can be written as.
Chap-1 (8th Nov.).pmd
irrational numbers. We continue our discussion on real numbers in this chapter. We begin with two very important properties of positive integers in Sections
NUMBER SYSTEMS1CHAPTER1
NUMBER SYSTEMS
1.1 Introduction
In your earlier classes, you have learnt about the number line and how tao represent various types of numbers on it (see Fig. 1.1).Fig. 1.1 : The number line
Just imagine you start from zero and go on walking along this number linae in the positive direction. As far as your eyes can see, there are numbers, numbers and numbers!Fig. 1.2
Now suppose you start walking along the number line, and collecting somea of the numbers. Get a bag ready to store them!2MATHEMATICS3
-40 16622-75219
0Z3 4016 74
5 2
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580-3 -757 -66-21 -40 31
71
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60129580
W 9 4016 74
5 2601
4652
58
0 31
1 7
110NYou might begin with picking up only natural
numbers like 1, 2, 3, and so on. You know that this list goes on for ever. (Why is this true?) So, now your bag contains infinitely many natural numbers! Recall that we denote this collection by the symbol N.Now turn and walk all the way back, pick up
zero and put it into the bag. You now have the collection of whole numbers which is denoted by the symbol W. Now, stretching in front of you are many, many negative integers. Put all the negative integers into your bag. What is your new collection? Recall thaat it is the collection of all integers, and it is denoted by the symbol Z. Are there some numbers still left on the line? Of course! There are numbaers like1 3,2 4, or even 20052006-. If you put all such numbers also into the bag, it will now be the
Z comes from the
German word
zahlen", which means
to count".
Q -6721 12 1 3 -1 9 81161
4 2005
200
6 -12 1 3 9 1 4 -6625 -65 60
19 19 999
0-6 7 2758
2005
20 06 3 -5 16 60
999
4 -8-6625 58
0 27
71
17 981
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