NCERT Solutions for Class 8 Maths Chapter 1 – Rational Numbers. Furthermore, here we’ve provided you with the latest solution for Class 8 Maths Chapter 1 – Rational Numbers. As a result here you’ll find solutions to all the exercises. This NCERT Class 8 solution will help you to score good marks in your exam.

Students can refer to our solution for NCERT Class 8 Maths Chapter 1 – Rational Numbers. The Chapter 1 Solution of NCERT will help students prepare for the exams and easily crack the exam. Below we’ve provided you with the exercise wise latest solution.

NCERT Solutions for Class 8 Maths Chapter 1 – Rational Numbers Exercise Wise Solution

Exercise 1.1 – Page 14 of NCERT
Exercise 1.2 – Page 20 of NCERT

NCERT Solutions for Class 8 Maths Chapter 1 – Rational Numbers Exercise 1.1 Solution

Here you’ll find NCERT Chapter 1 -Rational Numbers Exercise 1.1 Solution.
Exercise 1.1: Solutions of Questions on Page Number: 14

Q1: Using appropriate properties find:

(i)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501030726.gif

(ii)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+1415250106549.gif

Answer:

(i)
http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501072139.gif

http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501078721.gif

(ii) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501085481.gif (By commutativity)

http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501090938.gif

Q2: Write the additive inverse of each of the following:

(i) 2/8 (ii) -5/9 (iii) -6/-5 (iv) 2/-9 (v) 19/-6

Answers:

(i) 2/8
Additive inverse =http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501182101.gif

(ii)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501194442.gif

Additive inverse = http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501200358.gif

(iii) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501206298.gif

Additive inverse =http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501212133.gif

(iv) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501218032.gif

Additive inversehttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501224221.gif

(v) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+1415250123023.gif

Additive inverse http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+1415250123631.gif

Q3: Verify that – ( – x) = x for.

(i) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501256252.gif

(ii) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501295054.gif

Answer:

(i)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501301087.gif

The additive inverse of http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501307822.gif is http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501313626.gif as http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501326121.gif

This equality

http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501319787.gif

represents that the additive inverse ofhttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501332429.gif is http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501337903.gif of is or it can be said thathttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501343582.gif i.e., – ( – x) = x

(ii) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501349225.gif

The additive inverse of http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501355649.gif is http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501361796.gif as http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501368175.gif
This equality http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+1415250137472.gif represents that the additive inverse of http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501383536.gif is http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501389856.gif is – i.e., – ( – x)

Q4: Find the multiplicative inverse of the following.

(i) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+141525014132.gif (ii) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501441127.gif (iii) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501448168.gif

(iv) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+1415250145453.gif (v) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501460178.gif (vi) – 1

Answer:

(i) -13
Multiplicative inverse = –http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501466526.gif

(ii)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501472608.gif

Multiplicative inverse =http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501478724.gif

(iii)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501484517.gif

Multiplicative inverse = 5

(iv)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501490509.gif

Multiplicative inversehttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501496024.gif

(v)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501501834.gif

Multiplicative inversehttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501506978.gif

(vi) – 1

Multiplicative inverse = -1

Q5: Name the property under multiplication used in each of the following:

(i)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501529004.gif

Answer: multiplicative identity.

(ii)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+1415250155653.gif

Answer: Commutativity

(iii) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501563775.gifhttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501569717.gif

Answer: Multiplicative inverse

Q6: Multiply 6/13 by the reciprocal of -7/16

Answer:

http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501641805.gif

Q7: Tell what property allows you to compute.

Answer: http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501678551.gif

Associativity

Q8: Is the http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+1415250176578.gif multiplicative inverse of http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501771892.gif ? Why or why not?

Answer: If it is the multiplicative inverse, then the product should be 1. However, here, the product is not 1 ashttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501803215.gif

Q9: Is 0.3 the multiplicative inverse of http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501850701.gif ? Why or why not?

Answer:
http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501883032.gif

0.3 × = 0.3 ×http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501889081.gifhttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501894936.gif
Here, the product is 1. Hence, 0.3 is the multiplicative inverse of .http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152501900785.gif

Q10: Write:

  1. The rational number that does not have a reciprocal.
  1. The rational numbers that are equal to their reciprocals.
  1. The rational number that is equal to its negative.

Answer:

  1. 0 is a rational number but its reciprocal is not defined.
  1. 1 and -1 are the rational numbers that are equal to their reciprocals.
  1. 0 is the rational number that is equal to its negative.

Q11: Fill in the blanks.

  1. Zero has No reciprocal.
  1. The numbers 1 and -1 are their own reciprocals
  1. The reciprocal of – 5 is -1/5.
  1. Reciprocal of .http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502056098.gif where http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502085833.gif is x
  1. The product of two rational numbers is always a rational number.
  1. The reciprocal of a positive rational number is a positive rational number.

NCERT Solutions for Class 8 Maths Chapter 1 – Rational Numbers Exercise 1.2 Solution

Here you’ll find NCERT Chapter 1 -Rational Numbers Exercise 1.2 Solution.
Exercise 1.2: Solutions of Questions on Page Number: 20

Q1: Represent these numbers on the number line.

(i) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502136617.gif (ii) http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502165415.gif

Answer: 7/4 can be represented on the number line as follows.

http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502179465.jpg

(ii) -5/6 can be represented on the number line as follows.

http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502191558.jpg

Q2: Represent http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502214316.gif on the number line.

Answer:

http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502214316.gif can be represented on the number line as follows.
http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+1415250225406.jpg

Q3: Write five rational numbers which are smaller than 2.

Answer: 2 can be represented as .http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502304413.gif

Therefore, five rational numbers smaller than 2 are
http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502337859.gif

Q4: Find ten rational numbers between http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502415927.gifandhttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502422233.gif.

Answer: http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502452472.gif and http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502458828.gif can be represented ashttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502465359.gif respectively.

Therefore, ten rational numbers between http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502470449.gifand arehttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+1415250247531.gif
http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502481463.gif

Q5: Find five rational numbers between

(i)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502507466.gif

(ii)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502535408.gif

(iii)http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502541664.gif

Answer:

  1. http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+1415250254716.gif can be represented as http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502552657.gif respectively.

Therefore, five rational numbers between http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502557921.gif are
http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502563236.gif

  1. http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502569121.gif can be represented as http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502574898.gif respectively

Therefore, five rational numbers between arehttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502580686.gif are
http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502585957.gif

  1. http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+1415250259248.gif can be represented as http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502598022.gif respectively.

Therefore, five rational numbers between http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502603059.gif are
http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502609434.gif

Q6: Write five rational numbers greater than – 2.

Answer: -2 can be represented as http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502631492.gif

Therefore, five rational numbers greater than -2 are
http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502663618.gif

Q7: Find ten rational numbers between http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502712273.gifandhttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502718818.gif.

Answer: http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502724207.gif and http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502730387.gif can be represented as http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502737101.gif respectively.

Therefore, ten rational numbers between and arehttp://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502742832.gif and http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502748858.gif
http://www.schoollamp.com/images/ncert-solutions/maths+rational+numbers+cbse+14152502754342.gif

NCERT Class 8 Maths All Chapters Solution 

Chapter 1: Rational Numbers

Chapter 2: Linear Equations in One Variable

Chapter 3: Understanding Quadrilaterals

Chapter 4: Practical Geometry

Chapter 5: Data Handling

Chapter 6: Squares and Square root

Chapter 7: Cubes and Cube Roots

Chapter 8: Comparing Quantities

Chapter 9: Arithmetic Expressions

Chapter 10: Visualising Solid Shapes

Chapter 11: Mensuration

Chapter 12: Exponents and Powers

Chapter 13: Direct and Inverse Proportions

Chapter 14: Factorisation

Chapter 15: Introduction to Graphs

Chapter 16: Playing With Numbers