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

## Chapter 1: Rational Numbers

Ex. 1.10Ex. 2.10

#### Chapter 1: Rational Numbers Exercise 1.10 solutions [Pages 14 - 15]

Ex. 1.10 | Q 1.1 | Page 14

Using appropriate properties find.

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

Ex. 1.10 | 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. 1.10 | Q 2.1 | Page 14

Write the additive inverse of: 2/8

Ex. 1.10 | Q 2.2 | Page 14

Write the additive inverse of  (-5)/9

Ex. 1.10 | Q 2.3 | Page 14

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

Ex. 1.10 | Q 2.4 | Page 14

Write the additive inverse of  2/(-9)

Ex. 1.10 | Q 2.5 | Page 14

Write the additive inverse of 19/(-6)

Ex. 1.10 | Q 3.1 | Page 14

Verify that – (– x) = x for x = 11/15

Ex. 1.10 | Q 3.2 | Page 14

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

Ex. 1.10 | Q 4.1 | Page 14

Find the multiplicative inverse of -13

Ex. 1.10 | Q 4.2 | Page 14

Find the multiplicative inverse (-13)/19

Ex. 1.10 | Q 4.3 | Page 14

Find the multiplicative inverse of 1/5

Ex. 1.10 | Q 4.4 | Page 14

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

Ex. 1.10 | Q 4.5 | Page 14

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

Ex. 1.10 | Q 4.6 | Page 14

Find the multiplicative inverse -1

Ex. 1.10 | Q 5.1 | Page 14

Name the property under multiplication used in given

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

Ex. 1.10 | Q 5.2 | Page 14

Name the property under multiplication used in given

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

Ex. 1.10 | Q 5.3 | Page 14

Name the property under multiplication used in given

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

Ex. 1.10 | Q 6 | Page 14

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

Ex. 1.10 | 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. 1.10 | Q 8 | Page 14

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

Ex. 1.10 | Q 9 | Page 14

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

Ex. 1.10 | Q 10.1 | Page 15

Write: The rational number that does not have a reciprocal

Ex. 1.10 | Q 10.2 | Page 15

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

Ex. 1.10 | Q 10.3 | Page 15

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

Ex. 1.10 | Q 11.1 | Page 15

Fill in the blanks

Zero has __________ reciprocal.

Ex. 1.10 | Q 11.2 | Page 15

Fill in the blanks

The numbers __________ and __________ are their own reciprocals

Ex. 1.10 | Q 11.3 | Page 15

Fill in the blanks

The reciprocal of − 5 is ______.

Ex. 1.10 | Q 11.4 | Page 15

Fill in the blanks

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

Ex. 1.10 | Q 11.5 | Page 15

Fill in the blanks.

The product of two rational numbers is always a ________.

Ex. 1.10 | Q 11.6 | Page 15

Fill in the blanks

The reciprocal of a positive rational number is ________.

#### Chapter 1: Rational Numbers Exercise 2.10 solutions [Page 20]

Ex. 2.10 | Q 1.1 | Page 20

Represent these numbers on the number line

7/4

Ex. 2.10 | Q 1.2 | Page 20

Represent these numbers on the number line.

-5/6

Ex. 2.10 | Q 2 | Page 20

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

Ex. 2.10 | Q 3 | Page 20

Write five rational numbers which are smaller than 2.

Ex. 2.10 | Q 4 | Page 20

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

Ex. 2.10 | Q 5.1 | Page 20

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

Ex. 2.10 | Q 5.2 | Page 20

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

Ex. 2.10 | Q 5.3 | Page 20

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

Ex. 2.10 | Q 6 | Page 20

Write five rational numbers greater than − 2

Ex. 2.10 | Q 7 | Page 20

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

Ex. 1.10Ex. 2.10

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

NCERT solutions for Class 8 Maths 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 Mathematics Textbook for Class 8 solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com are providing 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 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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