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AP Board Class 10 Maths Chapter 1 Real Numbers Ex 1.3 Textbook Solutions PDF: Download Andhra Pradesh Board STD 10th Maths Chapter 1 Real Numbers Ex 1.3 Book Answers

AP Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 Textbooks Solutions and answers for students are now available in pdf format. Andhra Pradesh Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 Book answers and solutions are one of the most important study materials for any student. The Andhra Pradesh State Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 books are published by the Andhra Pradesh Board Publishers. These Andhra Pradesh Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 textbooks are prepared by a group of expert faculty members. Students can download these AP Board STD 10th Maths Chapter 1 Real Numbers Ex 1.3 book solutions pdf online from this page.

Andhra Pradesh Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 Textbooks Solutions PDF

Andhra Pradesh State Board STD 10th Maths Chapter 1 Real Numbers Ex 1.3 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 10th Maths Chapter 1 Real Numbers Ex 1.3 Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 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 10th Maths Chapter 1 Real Numbers Ex 1.3 Textbooks. These Andhra Pradesh State Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 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 10th Maths Chapter 1 Real Numbers Ex 1.3 Books Solutions

Board	AP Board
Materials	Textbook Solutions/Guide
Format	DOC/PDF
Class	10th
Subject	Maths
Chapters	Maths Chapter 1 Real Numbers Ex 1.3
Provider	Hsslive

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AP Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

Question 1.
Write the following rational numbers in their decimal form and also state which are terminating and which have non-terminating repeating decimals.
i) 38
ii) 229400
iii) 415
iv) 211
v) 8125
Answer:
i) 38

[!! Denominator 8 = 2³, consists of only 2’s. Hence a terminating decimal.]
∴ 38 = 0.375 is a terminating decimal.

ii) 229400

[!! Denominator 400 = 2⁴ × 5² = 2ⁿ × 5^m. Hence a terminating decimal.]
∴ 229400 = 0.5725 is a terminating decimal.

iii) 415
415 = 4 + 15

[!! Denominator is 5. Hence a terminating decimal.]
∴ 415 = 4.2 is a terminating decimal.

iv) 211

[!! Denominator is not of the form 2^m × 5ⁿ. Hence a non-terminating repeating decimal.]
∴ 211 = 0.18⎯⎯⎯⎯⎯⎯ is a non terminating, repeating decimal.

v) 8125
[!! Denominator 125 = 5³. Hence a terminating decimal.]
∴ 8125 = 0.064 is a terminating decimal.

Question 2.
Without performing division, state whether the following rational numbers will have a terminating decimal form or a non-terminating, repeating decimal form.
i) 133125
ii) 1112
iii) 64455
iv) 151600
v) 29343
vi) 2323⋅52
vii) 12922⋅57⋅75
viii) 915
iX) 36100
X) 77210
Answer:
i) 133125
Note: We check whether the denominator is of the form 2ⁿ . 5^m or not? If yes, the rational number can be expressed as a terminating decimal. If not, it can’t be expressed as a terminating decimal.

[!! Denominator is of the form 2^m × 5ⁿ. Hence a terminating decimal.]
3125 = 5⁵
∴ 133125 is a terminating decimal.

ii) 1112
The denominator 12 is not a factor of 11. Moreover 12 = 2² × 3.
[!! Denominator is not of the form 2^m × 5ⁿ.]
∴ 1112 is a non terminating, repeating decimal.

iii) 64455

[!! Denominator is not of the form 2^m × 5ⁿ. Hence a non terminating decimal.]
∴ 455 = 5 × 7 × 13
Hence64455 is a non terminating, repeating decimal.

iv) 151600

∴ 1600 = 2⁶ × 5² [∵ The denominator is of the form 2ⁿ . 5^m]
Hence 151600 is a terminating decimal.

v) 29343
343 = 7³ [Not of the form 2ⁿ . 5^m]
∴ 29343 is a non terminating, repeating decimal.

vi) 2323⋅52
2323⋅52 is a terminating decimal.
[∵ The denominator is of the form 2ⁿ . 5^m]

vii) 12922⋅57⋅75
12922⋅57⋅75 is a non terminating, repeating decimal.

viii) 915
915 = 35
Denominator is of the form 2ⁿ . 5^m.
∴ 915 = 35 is a terminating decimal.

ix) 36100
100 = 2² × 5² is of the form 2ⁿ . 5^m
Hence 36100 is a terminating decimal.

210 = 2 × 3 × 5 × 7 is not of the form 2ⁿ . 5^m
Given fraction has a non-terminating, repeating decimal expansion.

Question 3.
Write the following rationals in decimal form using Theorem 1.4.
i) 1325
ii) 1516
iii) 2323⋅52
iv) 721832⋅52
v) 143110

Answer:
i) 1325

ii) 1516
1516 = 152×2×2×2

iii) 2323⋅52

iv) 721832⋅52

v) 143110

Question 4.
The decimal form of some real numbers are given below. In each case, decide whether the number is rational or not. If it is rational, and expressed in form p/q, what can you say about the prime factors of q?
i) 43.12345678?
ii) 0.120120012000120000 ……….
iii) 43.123456789⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

Answer:
i) 43.123456789
The given decimal expansion is terminating. Hence it is a rational number and the denominator q is of the form 2ⁿ . 5^m.

ii) 0.120120012000120000 …………
The given decimal expansion is neither terminating nor repeating.
Hence it is not a rational number. It represents an irrational number.

iii) 43.123456789⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
The given real number is a repeating decimal with period 123456789. Hence it is a rational number.

AP Board Textbook Solutions PDF for Class 10th Maths

AP Board Class 10 Maths Chapter 1 Real Numbers Textbook Solutions PDF

AP Board Class 10 Maths Chapter 2 Sets Textbook Solutions PDF

AP Board Class 10 Maths Chapter 3 Polynomials Textbook Solutions PDF

AP Board Class 10 Maths Chapter 4 Pair of Linear Equations in Two Variables Textbook Solutions PDF

AP Board Class 10 Maths Chapter 5 Quadratic Equations Textbook Solutions PDF

AP Board Class 10 Maths Chapter 6 Progressions Textbook Solutions PDF

AP Board Class 10 Maths Chapter 7 Coordinate Geometry Textbook Solutions PDF

AP Board Class 10 Maths Chapter 8 Similar Triangles Textbook Solutions PDF

AP Board Class 10 Maths Chapter 9 Tangents and Secants to a Circle Textbook Solutions PDF

AP Board Class 10 Maths Chapter 10 Mensuration Textbook Solutions PDF

AP Board Class 10 Maths Chapter 11 Trigonometry Textbook Solutions PDF

AP Board Class 10 Maths Chapter 12 Applications of Trigonometry Textbook Solutions PDF

AP Board Class 10 Maths Chapter 13 Probability Textbook Solutions PDF

AP Board Class 10 Maths Chapter 14 Statistics Textbook Solutions PDF

Andhra Pradesh Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 Textbooks for Exam Preparations

Andhra Pradesh Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 exam preparation. The AP Board STD 10th Maths Chapter 1 Real Numbers Ex 1.3 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 10th Maths Chapter 1 Real Numbers Ex 1.3 Books State Board syllabus with maximum efficiency.

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Tuesday, June 7, 2022