NCERT Solutions of Rational Numbers Class 8
<< Solution of NCERT Math Exercise 1.1 (Part 1)Solution of NCERT Math Exercise 1.2 >>

Rational Numbers

Solution of NCERT Math Exercise 1.1 (Part 2)

Question 3 Verify that class 8 math Rational Numbers23 Solution of exercise 1.1

class 8 math Rational Numbers24 Solution of exercise 1.1

The additive inverse of class 8 math Rational Numbers25 Solution of exercise 1.1

class 8 math Rational Numbers26 Solution of exercise 1.1

Similarly, the additive inverse of class 8 math Rational Numbers27 Solution of exercise 1.1

class 8 math Rational Numbers28 Solution of exercise 1.1
class 8 math Rational Numbers29 Solution of exercise 1.1

The additive inverse of class 8 math Rational Numbers30 Solution of exercise 1.1

class 8 math Rational Numbers31 Solution of exercise 1.1

Similarly, the additive inverse of class 8 math Rational Numbers32 Solution of exercise 1.1   class 8 math Rational Numbers33 Solution of exercise 1.1

Question 4 - Find the multiplicative inverse of the following

class 8 math Rational Numbers34 Solution of exercise 1.1

Solution:

We know that multiplicative inverse of a number is reciprocal of the number.

Thus, multiplicative inverse of class 8 math Rational Numbers35 Solution of exercise 1.1

class 8 math Rational Numbers36 Solution of exercise 1.1

Solution:

We know that multiplicative inverse of a number is reciprocal of the number.

Thus, multiplicative inverse of class 8 math Rational Numbers37 Solution of exercise 1.1

class 8 math Rational Numbers38 Solution of exercise 1.1

Solution:

We know that multiplicative inverse of a number is reciprocal of the number.

Thus, multiplicative inverse of class 8 math Rational Numbers39 Solution of exercise 1.1

class 8 math Rational Numbers40 Solution of exercise 1.1

We know that multiplicative inverse of a number is reciprocal of the number.

Thus, multiplicative inverse of class 8 math Rational Numbers41 Solution of exercise 1.1

class 8 math Rational Numbers42 Solution of exercise 1.1

We know that multiplicative inverse of a number is reciprocal of the number.

Thus, multiplicative inverse of class 8 math Rational Numbers43 Solution of exercise 1.1

class 8 math Rational Numbers44 Solution of exercise 1.1

We know that multiplicative inverse of a number is reciprocal of the number.

Thus, multiplicative inverse of class 8 math Rational Numbers45 Solution of exercise 1.1

Alternate:

The product of a number and its multiplicative inverse is equal to 1

class 8 math Rational Numbers46 Solution of exercise 1.1

Thus, multiplicative inverse of class 8 math Rational Numbers47 Solution of exercise 1.1

Question 5 Name the property under multiplication used in each of the following.

class 8 math Rational Numbers48 Solution of exercise 1.1

Solution:

Here, 1 is the multiplicative identity.

Thus, property of multiplicative identity is used.

class 8 math Rational Numbers49 Solution of exercise 1.1

In this, commutativity is used.

class 8 math Rational Numbers50 Solution of exercise 1.1

Since, the product of the given number is 1, thus, class 8 math Rational Numbers51 Solution of exercise 1.1 is the multiplicative inverse of class 8 math Rational Numbers52 Solution of exercise 1.1

Thus, property of multiplicative inverse is used.

Question 6 Multiply class 8 math Rational Numbers53 Solution of exercise 1.1 by the reciprocal of class 8 math Rational Numbers54 Solution of exercise 1.1

Solution:

Reciprocal of class 8 math Rational Numbers55 Solution of exercise 1.1

class 8 math Rational Numbers56 Solution of exercise 1.1

Question 7 Tell what property allows you to compute class 8 math Rational Numbers57 Solution of exercise 1.1

Solution:

The property of associativity.

Question 8 Is class 8 math Rational Numbers58 Solution of exercise 1.1 the multiplicative inverse of class 8 math Rational Numbers59 Solution of exercise 1.1 Why or why not?

Solution:

class 8 math Rational Numbers60 Solution of exercise 1.1

Thus, class 8 math Rational Numbers61 Solution of exercise 1.1 is not the multiplicative inverse of class 8 math Rational Numbers62 Solution of exercise 1.1

Question 9 Is 0.3 the multiplicative inverse of class 8 math Rational Numbers63 Solution of exercise 1.1 Why or why not?

Solution: class 8 math Rational Numbers64 Solution of exercise 1.1

The multiplicative inverse of class 8 math Rational Numbers65 Solution of exercise 1.1

class 8 math Rational Numbers66 Solution of exercise 1.1 is the multiplicative inverse of 0.3.

Question 10 Write

(i) The rational number that does not have a reciprocal.

Solution:

0 (zero) is the rational number which does not have a reciprocal.

(ii) The rational numbers that are equal to their reciprocals.

Solution: 1 and 1 are the rational numbers which are equal to their reciprocals.

(iii) The rational number that is equal to its negative.

Solution:

0 (zero) is the rational number which is equal to its negative.

Question 11 Fill in the blanks:

(i) Zero has __________ reciprocal.

Solution: no

(ii) The numbers ________ and ________ are their own reciprocals.

Solution: 1 and 1

(iii) The reciprocal of 5 is _____________.

Solution:

class 8 math Rational Numbers67 Solution of exercise 1.1

(iv) Reciprocal of class 8 math Rational Numbers68 Solution of exercise 1.1 Is ______________.

Solution: class 8 math Rational Numbers69 Solution of exercise 1.1

(v) The product of two rational numbers is always a _____________.

Solution: rational number

(vi) The reciprocal of a positive rational number is ____________

Solution: positive

   
NCERT Solutions of Rational Numbers Class 8
<< Solution of NCERT Math Exercise 1.1 (Part 1)Solution of NCERT Math Exercise 1.2 >>

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