AP Board Class 9 Maths Chapter 1 Real Numbers InText Questions Textbook Solutions PDF: Download Andhra Pradesh Board STD 9th Maths Chapter 1 Real Numbers InText Questions Book Answers ~ HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

AP Board Class 9 Maths Chapter 1 Real Numbers InText Questions Textbook Solutions PDF: Download Andhra Pradesh Board STD 9th Maths Chapter 1 Real Numbers InText Questions Book Answers

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Andhra Pradesh Board Class 9th Maths Chapter 1 Real Numbers InText Questions Textbooks Solutions PDF

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Andhra Pradesh State Board Class 9th Maths Chapter 1 Real Numbers InText Questions Books Solutions

Board	AP Board
Materials	Textbook Solutions/Guide
Format	DOC/PDF
Class	9th
Subject	Maths
Chapters	Maths Chapter 1 Real Numbers InText Questions
Provider	Hsslive

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AP Board Class 9th Maths Chapter 1 Real Numbers InText Questions Textbooks Solutions with Answer PDF Download

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AP State Syllabus 9th Class Maths Solutions 1st Lesson Real Numbers InText Questions

Do This

Question 1.
Represent −34 on a number line. (Page No.3)
Solution:

Step – 1: Divide each unit into four equal parts to the right and left side of zero on the number line.
Step – 2 : Take 3 parts after zero on its left side.
Step -3 : It represents −34

Question 2.
Write 0, 7, 10, -4 in p/q form (Page No.2)
Solution:

Question 3.
Guess my number : Your friend chooses an integer between 0 and 100. You have to find out that number by asking questions, but your friend can only answer ‘Yes’ or ‘No’. What strategy would you use ? (Page No.3)
Solution:
Let my friend choosen 73; then my questions may be like this.

Q : Does it lie in the first 50 numbers ?
A: No .

Q : Does it lie between 50 and 60 ?
A: No

Q : Does it lie between 60 and 70 ?
A: No

Q : Does it lie between 70 and 80 ?
A: Yes
[then my guess would be “it is a number from 70 to 80]

Q : Is it an even number ?
A: No
[my guess : it should be one of the numbers 71, 73, 75, 77 and 79]

Q : Is it a prime number ?
A: Yes
[my guess : it may be 71, 73 or 79]

Q : Is it less than 75 ?
A: Yes
[my guess : it may be either 71 or 73]

Q : Is it less than 72 ?
A: No

Then the number is 73.
Therefore the strategy is
→ Use number properties such as even, odd, composite or prime to determine the number.

Do This

Question (i)
Find five rational numbers between 2 and 3 by mean method. (Page No.4)
Solution:
We know that 𝑎+𝑏2 is a rational
between any two numbers a and b.
Let a = 2 and b = 3

Question (ii)
Find 10 rational numbers between −311 and 811 (Page No.4)
Solution:
−311<[−211,−111,011,111,211,311,411,511,611,711]<811

Do This

Question
Find the decimal form of
(i) 117 (Page No.5)
Solution:

119 = 0.052631

(ii) 119(Page No.5)
Solution:

Try These

Question 1.
Find the decimal values of the following. (Page No.6)
Solution:
i) 12 = 0.5
ii) 122=14 = 0.25
iii) 15 = 0.2
iv) 15×2=110 = 0.1
v) 310 = 0.3
vi) 2725

vii) 13
Solution:

viii) 76
Solution:

ix) 512
Solution:

x) 17
Solution:

Think, Discuss and Write

Question 1.
Kruthi said √2 can be written as 2√1 which is in form. So √2 is a rational number. Do you agree with her argument ? (Page No.10)
Solution:
No.
Writing √2 = 2√1 is not in the 𝑝𝑞 form.
Since p and q are integers and √2 is not an integer.

Try These

Question 1.
Find the value of √3 upto six decimals.(Page No.10)
Solution:

Step 1 :
Write 3 as 3.00 00 00 00 00 00 00
Step – 2 :
Group the zeros in pairs (i.e.) make periods.
Step – 3 :
Find the square root using long division method.
∴ √3 = 1.732050

Try These

Question 1.
Locate √5 and -√5 on the number line [Hint 5 = 2² + 1²](Page No.12)
Solution:
Step – 1 :
At zero draw a rectangle of length 2 units and breadth 1 unit.

Step – 2 :

Step – 3 :
Using compass draw an arc of radius OB with centre ‘O’ which cuts the num-ber line at D and D¹.

Step – 4 :
D represents √5 and D¹ represents – √5 on the number line.

Activity

Question
Constructing the ‘Square root spiral’. (Page No. 15)
Solution:
Take a large sheet of paper and construct the ‘Square root spiral’ in the following manner.
Step – 1 : Start with point ‘O’ and draw a line segment OP⎯⎯⎯⎯⎯⎯⎯⎯ of 1 unit length.
Step – 2 : Draw a line segment PQ⎯⎯⎯⎯⎯⎯⎯⎯ perpendicular to OP⎯⎯⎯⎯⎯⎯⎯⎯ of unit length (where OP = PQ = 1) (see Fig.)
Step – 3 : Join 0, Q. (OQ = √2 )
Step – 4 : Draw a line segment OR of unit length perpendicular to OQ⎯⎯⎯⎯⎯⎯⎯⎯⎯
Step – 5 : Join O, R. (OR = √3 )
Step – 6 : Draw a line segment RS of unit length perpendicular to OR⎯⎯⎯⎯⎯⎯⎯⎯.
Step – 7 : Continue in this manner for some more number of steps, you will create a
beautiful spiral made of line segment PQ⎯⎯⎯⎯⎯⎯⎯⎯,QR⎯⎯⎯⎯⎯⎯⎯⎯,RS⎯⎯⎯⎯⎯⎯⎯,ST⎯⎯⎯⎯⎯⎯⎯,TU⎯⎯⎯⎯⎯⎯⎯⎯ …………etc. Note that the line segments OQ⎯⎯⎯⎯⎯⎯⎯⎯⎯,OR⎯⎯⎯⎯⎯⎯⎯⎯,OS−→,OT⎯⎯⎯⎯⎯⎯⎯⎯,OU⎯⎯⎯⎯⎯⎯⎯⎯⎯ …… etc., denote the lengths √2,√3, √4, √5, √6 respectively.

Do This

Question 1.
Find rationalising factors of the denominators of (Page No. 20)
i) 123√
Solution:
123√×3√3√=3√2×3=3√6
∴ The R.F is √3

ii) 15√
Solution:
35√×5√5√=35√5
∴ The R.F is √5

iii) 18√
Solution:

Do This;

Question
Simplify : (Page No. 23)

i) (16) ^1/2
Solution:
(16)^1/2 = (4 x 4)^1/2 = (42)^1/2 = 4^2/2 = 4

ii) (128)^1/7
Solution:
(128)^1/7 =(2 X 2 X 2 X 2 X 2 X 2 X 2)^1/7 = (2⁷)^1/7 = 2

iii) (343)^1/5
Solution:
(343)^1/5= (3 x 3 x 3 x 3 x 3)^1/5 = (3⁵)^1/5= 3

Question 1.
Write the following surds in exponen-tial form (Page No. 24)
i) √2
Solution:
√2 = 2^1/2

ii) 3√9
Solution:
9‾√3=3×3‾‾‾‾‾√3=32‾‾√3=323

iii) 20‾‾‾√5
Solution:
20‾‾‾√5=2×2×5‾‾‾‾‾‾‾‾‾√5=22×5‾‾‾‾‾‾√5=225×515

iv) 17√19
Solution:
19‾‾‾√17=19117

Question 2.
Write the surds in radical form. (Page No. 24)
i) 5^1/7 = 5‾√7
ii) 17^1/6 = 17‾‾‾√6
iii) 5^2/5 = 52‾‾√5=5×5‾‾‾‾‾√5=25‾‾‾√5
iv) 142^1/2 = 142‾‾‾‾√

AP Board Textbook Solutions PDF for Class 9th Maths

Andhra Pradesh Board Class 9th Maths Chapter 1 Real Numbers InText Questions Textbooks for Exam Preparations

Andhra Pradesh Board Class 9th Maths Chapter 1 Real Numbers InText Questions Textbook Solutions can be of great help in your Andhra Pradesh Board Class 9th Maths Chapter 1 Real Numbers InText Questions exam preparation. The AP Board STD 9th Maths Chapter 1 Real Numbers InText Questions Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 9th Maths Chapter 1 Real Numbers InText Questions Books State Board syllabus with maximum efficiency.

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