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CLASS 9TH MATHS- Q3- EX-1.6- CH-1 - NUMBER SYSTEM | MATHS CBSE CLASS 9TH NCERT QUESTIONS SOLUTIONS
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CLASS 9TH MATHS- Q1- EX-1.6- CH-1 - NUMBER SYSTEM | MATHS CBSE CLASS 9TH NCERT QUESTIONS SOLUTIONS    • CLASS 9TH MATHS- Q1- EX-1.6- CH-1 - NUMBER...  
CLASS 9TH MATHS- Q2- EX-1.6- CH-1 - NUMBER SYSTEM | MATHS CBSE CLASS 9TH NCERT QUESTIONS SOLUTIONS    • CLASS 9TH MATHS- Q2- EX-1.6- CH-1 - NUMBER...  
CLASS 9TH MATHS- Q3- EX-1.6- CH-1 - NUMBER SYSTEM | MATHS CBSE CLASS 9TH NCERT QUESTIONS SOLUTIONS    • CLASS 9TH MATHS- Q3- EX-1.6- CH-1 - NUMBER...  



decimal
representations (expansions). Can you guess what property q must satisfy?
7. Write three numbers whose decimal expansions are non-terminating non-recurring.
8. Find three different irrational numbers between the rational numbers
5
7
and
9
11
.
9. Classify the following numbers as rational or irrational :
(i) 23 (ii) 225 (iii) 0.3796
(iv) 7.478478... (v) 1.101001000100001...

EXERCISE 1.4
1. Visualise 3.765 on the number line, using successive magnification.
2. Visualise 4 26 . on the number line, up to 4 decimal places.


class 9th exercise 1.6 question number 3,
class 9 maths chapter 1 number system exercise 1.6 question 3,


EXERCISE 1.5
1. Classify the following numbers as rational or irrational:
(i) 2 5 − (ii) (3 23 23 + −) (iii)
2 7
7 7
(iv)
1
2
(v) 2π
2. Simplify each of the following expressions:
(i) (3 3 2 2 + + ) ( ) (ii) (3 3 3 3 + − ) ( )
(iii) ( )
2
5 2 + (iv) ( 5 2 5 2 − + ) ( )
3. Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter
(say d). That is, π =
c
d
⋅ This seems to contradict the fact that π is irrational. How will
you resolve this contradiction?
4. Represent 9 3. on the number line.
5. Rationalise the denominators of the following:
(i)
1
7
(ii)
1
7 6 −
(iii)
1
5 2 +
(iv)
1
7 2
EXERCISE 1.6
1. Find : (i)
1
2 64 (ii)
1
5 32 (iii)
1
3 125
2. Find : (i)
3
2 9 (ii)
2
5 32 (iii)
3
4 16 (iv)
1
3 125
−
3. Simplify : (i)
2 1
3 5 2 2⋅ (ii)
7
3
1
3
      (iii)
1
2
1
4
11
11
(iv)
1 1
2 2 7 8
Hello students, in this chapter you are going to learn Number System.

We will go topic wise

NUMBER SYSTEMS
1 ) Irrational Numbers
2 ) Real Numbers and their Decimal Expansions
3) Representing Real Numbers on the Number Line
4) Operations on Real Numbers
5) Laws of Exponents for Real Numbers


The collection of numbers is called the Number system. These numbers are of different types such as natural numbers, whole numbers, integers, rational numbers and irrational numbers. Let us see the table below to understand with the examples.

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