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)
(ii)
Answer:
(i)
(ii) (By commutativity)
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 =
(ii)
Additive inverse =
(iii)
Additive inverse =
(iv)
Additive inverse
(v)
Additive inverse
Q3: Verify that – ( – x) = x for.
(i)
(ii)
Answer:
(i)
The additive inverse of is as
This equality
represents that the additive inverse of is of is or it can be said that i.e., – ( – x) = x
(ii)
The additive inverse of is as
This equality represents that the additive inverse of is is – i.e., – ( – x)
Q4: Find the multiplicative inverse of the following.
(i) (ii) (iii)
(iv) (v) (vi) – 1
Answer:
(i) -13
Multiplicative inverse = –
(ii)
Multiplicative inverse =
(iii)
Multiplicative inverse = 5
(iv)
Multiplicative inverse
(v)
Multiplicative inverse
(vi) – 1
Multiplicative inverse = -1
Q5: Name the property under multiplication used in each of the following:
(i)
Answer: multiplicative identity.
(ii)
Answer: Commutativity
(iii)
Answer: Multiplicative inverse
Q6: Multiply 6/13 by the reciprocal of -7/16
Answer:
Q7: Tell what property allows you to compute.
Answer:
Associativity
Q8: Is the multiplicative inverse of ? Why or why not?
Answer: If it is the multiplicative inverse, then the product should be 1. However, here, the product is not 1 as
Q9: Is 0.3 the multiplicative inverse of ? Why or why not?
Answer:
0.3 × = 0.3 ×
Here, the product is 1. Hence, 0.3 is the multiplicative inverse of .
Q10: Write:
- The rational number that does not have a reciprocal.
- The rational numbers that are equal to their reciprocals.
- The rational number that is equal to its negative.
Answer:
- 0 is a rational number but its reciprocal is not defined.
- 1 and -1 are the rational numbers that are equal to their reciprocals.
- 0 is the rational number that is equal to its negative.
Q11: Fill in the blanks.
- Zero has No reciprocal.
- The numbers 1 and -1 are their own reciprocals
- The reciprocal of – 5 is -1/5.
- Reciprocal of . where is x
- The product of two rational numbers is always a rational number.
- 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) (ii)
Answer: 7/4 can be represented on the number line as follows.
(ii) -5/6 can be represented on the number line as follows.
Q2: Represent on the number line.
Answer:
can be represented on the number line as follows.
Q3: Write five rational numbers which are smaller than 2.
Answer: 2 can be represented as .
Therefore, five rational numbers smaller than 2 are
Q4: Find ten rational numbers between and.
Answer: and can be represented as respectively.
Therefore, ten rational numbers between and are
Q5: Find five rational numbers between
(i)
(ii)
(iii)
Answer:
- can be represented as respectively.
Therefore, five rational numbers between are
- can be represented as respectively
Therefore, five rational numbers between are are
- can be represented as respectively.
Therefore, five rational numbers between are
Q6: Write five rational numbers greater than – 2.
Answer: -2 can be represented as
Therefore, five rational numbers greater than -2 are
Q7: Find ten rational numbers between and.
Answer: and can be represented as respectively.
Therefore, ten rational numbers between and are and
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