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