AP Board Class 8 Maths Chapter 1 Rational Numbers Ex 1.3 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 1 Rational Numbers Ex 1.3 Book Answers |
Andhra Pradesh Board Class 8th Maths Chapter 1 Rational Numbers Ex 1.3 Textbooks Solutions PDF
Andhra Pradesh State Board STD 8th Maths Chapter 1 Rational 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 8th Maths Chapter 1 Rational 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 8th Maths Chapter 1 Rational 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 8th Maths Chapter 1 Rational Numbers Ex 1.3 Textbooks. These Andhra Pradesh State Board Class 8th Maths Chapter 1 Rational 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 8th Maths Chapter 1 Rational Numbers Ex 1.3 Books Solutions
Board | AP Board |
Materials | Textbook Solutions/Guide |
Format | DOC/PDF |
Class | 8th |
Subject | Maths |
Chapters | Maths Chapter 1 Rational Numbers Ex 1.3 |
Provider | Hsslive |
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AP Board Class 8th Maths Chapter 1 Rational Numbers Ex 1.3 Textbooks Solutions with Answer PDF Download
Find below the list of all AP Board Class 8th Maths Chapter 1 Rational Numbers Ex 1.3 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:AP State Syllabus 8th Class Maths Solutions 1st Lesson Rational Numbers Exercise 1.3
Question 1.
Express each of the following decimal in the 𝑝𝑞 form.
(i) 0.57 (ii) 0.176 (iii) 1.00001 (iv) 25.125
Solution:
(i) 0.57 = 57100 (∵ two digits are there after the decimal poing)
(ii) 0.176 = 1761000
(iii) 1.00001 = 100001100000
(iv) 25.125 = 251251000
Question 2.
Express each of the following decimals in the rational form 𝑝𝑞
(1) 0.9⎯⎯⎯
(ii) 0.57⎯⎯⎯⎯⎯⎯
(iii) 0.729⎯⎯⎯⎯⎯⎯
(iv) 12.28⎯⎯⎯
Solution:
(i) 0.9⎯⎯⎯
Let x = 0.9⎯⎯⎯
⇒ x = 0.999 ………………. (1)
Here periodicity is 1. So, equation (1) should be multiplied both sides with
= 10 × x = 10 × 0.999
10 x = 9.999 ………….. (2)
0.9⎯⎯⎯ = 1
Second Method:
0.9⎯⎯⎯=0+9⎯⎯⎯=0+99
= 0 + 1 = 1
(ii) 0.57⎯⎯⎯⎯⎯⎯
x = 0.57⎯⎯⎯⎯⎯⎯ ⇒ x = 0.5757…………(1)
Here periodicity is 2. So, we should multiply with 100
⇒ 100 × x = 100 x 0.5757 …………..
100 × =57.57 ……………………. (2)
(iii) 0.729⎯⎯⎯⎯⎯⎯
x = 0.729⎯⎯⎯⎯⎯⎯
x = 0.729⎯⎯⎯⎯⎯⎯ ⇒ x = 0.7979…………(1)
Here periodicity is 2. So, equation (1) should multiply with 100
⇒ 100 × x = 100 × 0.72929 …………..
100 × = 72.929 …………………… (2)
(iv) 12.28⎯⎯⎯
x = (iv) 12.28⎯⎯⎯
⇒ x = 12.288 ………..(1)
Here periodicity is 1. So, equation (1) should multiply with 10
⇒ 100 × x = 100 × 12.288 …………..
10 x = 122.888 …………………… (2)
Question 3.
Find(x + y) ÷ (x – y) if
(i) x = 52, y = −34
(ii) x = 14, y = 32
Solution:
If x = 52, y = −34 then
ii) x = 14, y = 32
Question 4.
Divide the sum of −135 and 127 by the product of −137 and −12
Solution:
Sum of −135 and 127
the product of −137 and −12
Question 5.
If 25 of a number exceeds 17 of the same number by 36. Find the number.
Solution:
Let the number be ‘x’ say.
25 part of x = 25 × x = 2𝑥5
17 part of x = 17 × x = 𝑥7
∴ According to the sum,
Question 6.
Two pieces of lengths 225 m and 3310 mare cut off from a rope 11 m long. What is the length of the remaining rope?
Soltuion:
The length of the remaining rope
∴ The length of remaining rope
= 5110 mts.
Question 7.
The cost of 723 meters of cloth is ₹1234 . Find the cost per metre.
Solution:
The cost of 723 mts (233 mts ) of cloth
= ₹ 1234 = ₹ 514
∴ The cost of 1m cloth
= 514÷233=514×323=15392 = ₹ 1.66
Question 8.
Find the area of a rectangular park which is 1835m long and 823 in broad.
Solution:
The length of the rectangular park
= 1835m = 935
Its width / breath = 823 m = 263 m
∴ Area of the rectangular park
(A) = l × b
Question 9.
What number should −3316 be divided by to get −114
Solution:
Let the dividing number be ‘x’ say.
Question 10.
If 36 trousers of equal sizes can be stitched with 64 meters of cloth. What is the length of the cloth required for each trouser?
Solution:
36 trousers of equal sizes can he stitched with 64 mts of cloth, then the length of the cloth ¡s required for each trouser
= 64 ÷ 36
= 6436=169 = 1 79
Question 11.
When the repeating decimal 0.363636 …. is written in simplest fractional form𝑝𝑞 , find the sum p+ q.
Solution:
x = 0.363636………………………….. (1)
Here periodicity is ‘2’. So, equation (1) should be multiplied both sides with 100.
⇒ 100 × x = 100 × 0.363636 …………..
100 x = 36.3636 ………..(2)
AP Board Textbook Solutions PDF for Class 8th Maths
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