# Rational Numbers

## Solution of NCERT Math Exercise 1.1 (Part 2)

Question 3 Verify that

Question 4 - Find the multiplicative inverse of the following

Solution:

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

Thus, multiplicative inverse of

Solution:

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

Thus, multiplicative inverse of

Solution:

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

Thus, multiplicative inverse of

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

Thus, multiplicative inverse of

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

Thus, multiplicative inverse of

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

Thus, multiplicative inverse of

Alternate:

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

Thus, multiplicative inverse of

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

Solution:

Here, 1 is the multiplicative identity.

Thus, property of multiplicative identity is used.

In this, commutativity is used.

Since, the product of the given number is 1, thus, is the multiplicative inverse of

Thus, property of multiplicative inverse is used.

Question 6 Multiply by the reciprocal of

Solution:

Reciprocal of

Question 7 Tell what property allows you to compute

Solution:

The property of associativity.

Question 8 Is the multiplicative inverse of Why or why not?

Solution:

Thus, is not the multiplicative inverse of

Question 9 Is 0.3 the multiplicative inverse of Why or why not?

Solution:

The multiplicative inverse of

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:

(iv) Reciprocal of Is ______________.

Solution:

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

Solution: rational number

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

Solution: positive

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