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

## AP Board Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 1 Rational Numbers Ex 1.1 Book Answers

 AP Board Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 1 Rational Numbers Ex 1.1 Book Answers

## Andhra Pradesh State Board Class 8th Maths Chapter 1 Rational Numbers Ex 1.1 Books Solutions

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## AP Board Class 8th Maths Chapter 1 Rational Numbers Ex 1.1 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 8th Maths Chapter 1 Rational Numbers Ex 1.1 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 1.1

Question 1.
Name the properly Involved in the following examples.

vii) 7a + (-7) = 0
viii) x + 1𝑥 = 1(x ≠ 0)
ix) (2 x x) + (2 x 6) = 2 x (x + 6)
Solution:
ii) Distributive law
iii) Multiplicative identity
iv) Multiplicative identity
vi) Closure law in multiplication
viii) Multiplicative inverse
ix) Distributive

Question 2.
Write the additive and the multiplicative inverses of the following.
i) −35
ii) 1
iii) 0
iv) 79
v) -1
Solution:

Question 3.
Fill in the blanks

Solution:
i) (−125)
ii) (43)
iii) (911)
iv) (67)
v) (34,13)
vi) 0

Question 4.
Multiply 211 by the reciprocal of −514
Solution:
The reciprocal of −514 is −145
( ∵ (−514)×(−145)=1 )
∴ The product of 211 and −145 is
211×(−145)=−2855

Question 5.
Which properties can be used computing 25×(5×76)+13×(3×411)
Solution:
The following properties are involved in the product of
25×(5×76)+13×(3×411)
i) Multiplicative associative property.
ii) Multiplicative inverse.
iii) Multiplicative identity.

Question 6.
Verify the following
(54+−12)+−32=54+(−12+−32)
Solution:

Question 7.
Evaluate 35+73+(−25)+(−23) after rearrangement.
Solution:

Let x = 1.24⎯⎯⎯
⇒ x = 1.244……. …………………(1)
Here periodicity of equation (1) is 1. So
it should be multiplied by 10 on both
sides.
⇒ 10 x x = 10 x 1.244
10x = 12.44 …………..(2)

Question 8.
Subtract
(i) 34 from 13
(ii) −3213 from 2
(iii) -7 from −47
Solution:

Question 9.
What numbers should be added to −58 so as to get −32 ?
Solution:
Let the number to be add ‘x’ say

∴ −78 should be added to −58 then we will get −32

Question 10.
The sum of two rational numbers is 8 If one of the numbers is −56 find the other.
Let the second number be ‘x’ say
⇒ 𝑥+(−56)=8
⇒8+56=48+56=536
∴ The other number (x) = 536

Question 11.
Is subtraction associative in rational numbers? Explain with an example.
Solution:
Let 12,34,−54 are any 3 rational numbers.
Associative property under subtraction
a – (b – c) = (a – b) – c

∴ L.H.S. ≠ R.H.S.
∴ a – (b – c) ≠ (a – b) – c
∴ Subtraction is not an associative in rational numbers.

Question 12.
Verify that – (-x) = x for
(i) x = 215
(ii) x = −1315
Solution:

Question 13.
Write-
(i) The set of numbers which do not have any additive identity
(ii) The rational number that does not have any reciprocal
(iii) The reciprocal of a negative rational number.
Solution:
i) Set of natural numbers ’N’ doesn’t possesses the number ‘0’.
ii) The rational number ‘0’ has no multiplicative inverse.
[ ∵ 1/0 is not defined]
iii) The reciprocal of a negative rational number is a negative rational number.
Ex : Reciprocal of −25=−52

## Andhra Pradesh Board Class 8th Maths Chapter 1 Rational Numbers Ex 1.1 Textbooks for Exam Preparations

Andhra Pradesh Board Class 8th Maths Chapter 1 Rational Numbers Ex 1.1 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 8th Maths Chapter 1 Rational Numbers Ex 1.1 exam preparation. The AP Board STD 8th Maths Chapter 1 Rational Numbers Ex 1.1 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 8th Maths Chapter 1 Rational Numbers Ex 1.1 Books State Board syllabus with maximum efficiency.

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