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# NCERT solutions for Class 8 Mathematics Textbook chapter 1 - Rational Numbers [Latest edition]

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## Chapter 1: Rational Numbers

Ex. 1.1Ex. 2.1

#### NCERT solutions for Class 8 Mathematics Textbook Chapter 1 Rational Numbers Exercise 1.1 [Pages 14 - 15]

Ex. 1.1 | Q 1.1 | Page 14

Using appropriate properties find.

-2/3 xx 3/5 + 5/2 - 3/2 xx 1/6

Ex. 1.1 | Q 1.2 | Page 14

Using appropriate properties find

2/5 xx (-3/7) - 1/6 xx 3/2 + 1/14 xx 2/5

Ex. 1.1 | Q 2.1 | Page 14

Write the additive inverse of: 2/8

Ex. 1.1 | Q 2.2 | Page 14

Write the additive inverse of  (-5)/9

Ex. 1.1 | Q 2.3 | Page 14

Write the additive inverse of (-6)/(-5)

Ex. 1.1 | Q 2.4 | Page 14

Write the additive inverse of  2/(-9)

Ex. 1.1 | Q 2.5 | Page 14

Write the additive inverse of 19/(-6)

Ex. 1.1 | Q 3.1 | Page 14

Verify that – (– x) = x for x = 11/15

Ex. 1.1 | Q 3.2 | Page 14

Verify that – (– x) = x for x = -13/17

Ex. 1.1 | Q 4.1 | Page 14

Find the multiplicative inverse of -13

Ex. 1.1 | Q 4.2 | Page 14

Find the multiplicative inverse (-13)/19

Ex. 1.1 | Q 4.3 | Page 14

Find the multiplicative inverse of 1/5

Ex. 1.1 | Q 4.4 | Page 14

Find the multiplicative inverse  (-5)/8 xx (-3)/7

Ex. 1.1 | Q 4.5 | Page 14

Find the multiplicative inverse of -1 xx (-2)/5

Ex. 1.1 | Q 4.6 | Page 14

Find the multiplicative inverse -1

Ex. 1.1 | Q 5.1 | Page 14

Name the property under multiplication used in given

(-4)/5 xx 1 = 1 xx (-4)/5 = -4/5

Ex. 1.1 | Q 5.2 | Page 14

Name the property under multiplication used in given

-13/17 xx (-2)/7 = (-2)/7 xx (-13)/17

Ex. 1.1 | Q 5.3 | Page 14

Name the property under multiplication used in given

-19/29 xx 29/(-19) = 1

Ex. 1.1 | Q 6 | Page 14

Multiply 6/13 by the reciprocal of -7/16

Ex. 1.1 | Q 7 | Page 14

Tell what property allows you to compute 1/3 xx(6xx4/3) as (1/3 xx 6) xx 4/3

Ex. 1.1 | Q 8 | Page 14

Is 8/9 the multiplicative inverse of -1 1/8? Why or why not?

Ex. 1.1 | Q 9 | Page 14

Is 0.3 the multiplicative inverse of 3 1/3 ? Why or why not?

Ex. 1.1 | Q 10.1 | Page 15

Write: The rational number that does not have a reciprocal

Ex. 1.1 | Q 10.2 | Page 15

Write : The rational numbers that are equal to their reciprocals.

Ex. 1.1 | Q 10.3 | Page 15

Write : The rational number that is equal to its negative.

Ex. 1.1 | Q 11.1 | Page 15

Fill in the blanks

Zero has __________ reciprocal.

Ex. 1.1 | Q 11.2 | Page 15

Fill in the blanks

The numbers __________ and __________ are their own reciprocals

Ex. 1.1 | Q 11.3 | Page 15

Fill in the blanks

The reciprocal of − 5 is ______.

Ex. 1.1 | Q 11.4 | Page 15

Fill in the blanks

Reciprocal of 1/x where x != 0 is _______

Ex. 1.1 | Q 11.5 | Page 15

Fill in the blanks.

The product of two rational numbers is always a ________.

Ex. 1.1 | Q 11.6 | Page 15

Fill in the blanks

The reciprocal of a positive rational number is ________.

#### NCERT solutions for Class 8 Mathematics Textbook Chapter 1 Rational Numbers Exercise 2.1 [Page 20]

Ex. 2.1 | Q 1.1 | Page 20

Represent these numbers on the number line

7/4

Ex. 2.1 | Q 1.2 | Page 20

Represent these numbers on the number line.

-5/6

Ex. 2.1 | Q 2 | Page 20

Represent (-2)/11, (-5)/11, (-9)/11 on the number line.

Ex. 2.1 | Q 3 | Page 20

Write five rational numbers which are smaller than 2.

Ex. 2.1 | Q 4 | Page 20

Find ten rational numbers between (-2)/5 and 1/2

Ex. 2.1 | Q 5.1 | Page 20

Find five rational numbers between 2/3 " and " 4/5

Ex. 2.1 | Q 5.2 | Page 20

Find five rational numbers between (-3)/2 " and " 5/3

Ex. 2.1 | Q 5.3 | Page 20

Find five rational numbers between 1/4 " and " 1/2

Ex. 2.1 | Q 6 | Page 20

Write five rational numbers greater than − 2

Ex. 2.1 | Q 7 | Page 20

Find ten rational numbers between 3/5 " and " 3/4

Ex. 1.1Ex. 2.1

## NCERT solutions for Class 8 Mathematics Textbook chapter 1 - Rational Numbers

NCERT solutions for Class 8 Mathematics Textbook chapter 1 (Rational Numbers) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Class 8 Mathematics Textbook solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 8 Mathematics Textbook chapter 1 Rational Numbers are Introduction of Rational Numbers, Closure, Commutativity, The Role of 1, Representation of Rational Numbers on the Number Line, Associativity, The Role of Zero (0), Negative of a Number, Reciprocal, Distributivity of Multiplication Over Addition for Rational, Rational Numbers Between Two Rational Numbers.

Using NCERT Class 8 solutions Rational Numbers exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 8 prefer NCERT Textbook Solutions to score more in exam.

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