Samacheer Kalvi 9th Maths Solutions Chapter 2 Real Numbers Additional Questions
Samacheer Kalvi 9th Maths Solutions Chapter 2 Real Numbers Additional Questions
Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 2 Real Numbers Additional Questions
Exercise 2.2
Exercise 2.3
Question 2.
Find the decimal expansion of √3.
Solution:
Exercise 2.4
Exercise 2.5
Question 2.
Find the value of 6253/4 :
Solution:
Question 3.
Find the value of 729−5/6 :
Solution:
Exercise 2.6
Exercise 2.7
Exercise 2.8
Question 1.
Write in scientific notation : (60000000)3
Solution:
(60000000)3 = (6.0 × 107)4 = (6.0)4 × (107)4
= 1296 × 1028
= 1.296 × 103 × 1028 = 1.296 × 1031
Question 2.
Write in scientific notation : (0.00000004)3
Solution:
(0.00000004)3 = (4.0 × 10-8)3 = (4.0)3 × (10-8)3
= 64 × 10-24 = 6.4 × 10 × 10-24 = 6.4 × 10-23
Question 3.
Write in scientific notation : (500000)5 × (3000)3
Solution:
(500000)5 × (3000)3 = (5.0 × 105)3 × (3.0 × 103)3
= (5.0)2 × (105)2 × (3.0)3 × (103)3
= 25 × 1010 × 27 × 109 = 675 × 1019
= 675.0 × 1019 = 6.75 × 102 × 1019= 6.75 × 1021
Exercise 2.9
Multiple Choice Questions :
Question 1.
A number having non-terminating and recurring decimal expansion is
(1) an integer
(2) a rational number
(3) an irrational number
(4) a whole number
Solution:
(2) a rational number
Hint:
Irrational number have nonterminating and non recurring decimal expansion.
Question 2.
If a number has a non-terminating and non-recurring decimal expansion, then it is
(1) a rational number
(2) a natural number
(3) an irrational number
(4) an integer
Solution:
(3) an irrational number
Hint: Rational number gave terminating or recurring and non-terminating decimal expansion.
Question 3.
Decimal form of −3/4 is
(1) -0.75
(2) -0.50
(3) -0.25
(4) -0.125
Solution:
(1) -0.75
Hint:
1/4 = 0.25; 1/2 = 0.5; 3/4 = 0.75
Text Book Activities
Activity – 2
Take a graph sheet and mark O, A, B, C as follows:
Consider the following graphs:
Are they equal? Discuss. Can you verify the same by taking different squares of different lengths?
Solution:
Activity – 3
The following list shows the mean distance of the planets of the solar system from the Sun. Complete the following table. Then arrange in order of magnitude starting with the distance of the planet closest to the Sun.
Solution:
Arrange the planets in order of distance from the sun.
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune and Pluto.
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