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AP Board Class 9 Maths Chapter 1 Real Numbers Ex 1.2 Textbook Solutions PDF: Download Andhra Pradesh Board STD 9th Maths Chapter 1 Real Numbers Ex 1.2 Book Answers |
Andhra Pradesh Board Class 9th Maths Chapter 1 Real Numbers Ex 1.2 Textbooks Solutions PDF
Andhra Pradesh State Board STD 9th Maths Chapter 1 Real Numbers Ex 1.2 Books Solutions with Answers are prepared and published by the Andhra Pradesh Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of AP Board Class 9th Maths Chapter 1 Real Numbers Ex 1.2 Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 9th Maths Chapter 1 Real Numbers Ex 1.2 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Andhra Pradesh Board STD 9th Maths Chapter 1 Real Numbers Ex 1.2 Textbooks. These Andhra Pradesh State Board Class 9th Maths Chapter 1 Real Numbers Ex 1.2 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Andhra Pradesh Board.Andhra Pradesh State Board Class 9th Maths Chapter 1 Real Numbers Ex 1.2 Books Solutions
Board | AP Board |
Materials | Textbook Solutions/Guide |
Format | DOC/PDF |
Class | 9th |
Subject | Maths |
Chapters | Maths Chapter 1 Real Numbers Ex 1.2 |
Provider | Hsslive |
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AP Board Class 9th Maths Chapter 1 Real Numbers Ex 1.2 Textbooks Solutions with Answer PDF Download
Find below the list of all AP Board Class 9th Maths Chapter 1 Real Numbers Ex 1.2 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:AP State Syllabus 9th Class Maths Solutions 1st Lesson Real Numbers Exercise 1.2
Question 1.
Classify the following numbers as rational or irrational.
i) 27‾‾‾√
ii) 441‾‾‾‾√
iii) 30.232342345
iv) 7.484848
v) 11.2132435465
vi) 0.3030030003
Solution:
i) 27‾‾‾√ – irrational number
ii) 441‾‾‾‾√ = 21 – rational
iii) 30.232342345 – irrational number
iv) 7.484848 – rational number
v) 11.2132435465 – irrational number
vi) 0.3030030003 – irrational number
Question 2.
Explain with an example how irrational numbers differ from rational numbers ?
Solution:
Irrational numbers can’t be expressed in 𝑝𝑞 form where p and q are integers and q ≠ 0.
E.g.2‾√,3‾√;5‾√,7‾√ etc.
Where as a rational can be expressed in 𝑝𝑞 form
E.g. :- -3 = −31 and 54 etc.
Question 3.
Find an irrational number between 57 and 79. How many more there may be ?
Solution :
The decimal forms of 57 and 79 are
57=0.714285⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯….,79=0.7777……=0.7⎯⎯⎯
∴ An irrational between 57 and 79 is 0.727543…………
There are infinitely many irrational numbers between 57 and 79.
Question 4.
Find two irrational numbers between 0.7 and 0.77.
Solution:
Two irrational numbers between 0.7 and 0.77 can take the form
0.70101100111000111…………. and 0.70200200022……………
Question 5.
Find the value of √5 uPto 3 decimal places.
Solution:
[√5 is not exactly equal to 2.2350679………….. as shown ¡n calculators]
Question 6.
Find the value of √7 upto six decimal places by long division method.
Solution:
Question 7.
Locate 10‾‾‾√ on number line.
Step – 1 : Draw a number line.
Step – 2 : Draw a rectangle OABC at zero with measures 3 x 1. i.e., length 3 units and breadth 1 unit.
Step – 3 : Draw the diagonal OB.
Step – 4 : Draw an arc with centre ‘O’ and radius OB which cuts the number line at D.
Step – 5 : ‘D’ represents \(\sqrt{\mathrm{10}}[latex] on the number line.
Question 8.
Find atleast two irrational numbers between 2 and 3.
Solution:
An irrational number between a and b is Tab [latex]\sqrt{\mathrm{ab}}\) unless ab is a perfect square.
∴ Irrational number between 2 and 3 is √6
∴ Required irrational numbers are 61/2, 241/4
Method – II:
Irrational numbers between 2 and 3 are of the form 2.12111231234………….. and 3.13113111311113…….
Question 9.
State whether the following statements are true or false. Justify your answers.
Solution:
- Every irrational number is a real number – True (since real numbers consist of rational numbers and irrational numbers)
- Every rational number is a real number – True (same as above)
- Every rational number need not be a rational number – False (since all rational numbers are real numbers).
- 𝑛√ is not irrational if n is a perfect square – True. (since by definition of an irrational number).
- 𝑛√ is irrational if n is not a perfect square – True. (same as above)
- All real numbers are irrational – False (since real numbers consist of rational
AP Board Textbook Solutions PDF for Class 9th Maths
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