# HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

## 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 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

## Andhra Pradesh State Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 Books Solutions

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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
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 × 5m. 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 2m × 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
i) 133125
Note: We check whether the denominator is of the form 2n . 5m 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 2m × 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 2m × 5n.]
∴ 1112 is a non terminating, repeating decimal.

iii) 64455

[!! Denominator is not of the form 2m × 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 . 5m]
Hence 151600 is a terminating decimal.

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

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

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

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

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

210 = 2 × 3 × 5 × 7 is not of the form 2n . 5m
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

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⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

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

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.

## 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.

## FAQs Regarding Andhra Pradesh Board Class 10th Maths Chapter 1 Real Numbers Ex 1.3 Textbook Solutions

#### Can we get a Andhra Pradesh State Board Book PDF for all Classes?

Yes you can get Andhra Pradesh Board Text Book PDF for all classes using the links provided in the above article.

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