Important Questions of Rational Numbers Question and Answers Paper (For CBSE, ICSE, IAS, NET, NRA 2023)

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Question 1

Write the additive inverse of each of the following:

i) 1

ii)

iii)

iv)

v)

Answer

(i) 1

Additive inverse =-1

(ii)

Additive inverse

(iii)

Additive inverse

(iv) 2

Additive inverse = 2

(v)

Additive inverse = 9

Question 2

What is the additive identity?

a. 1

b. -1

c. 0

d. None of the above

Answer: 0

Question 3

True of False Statement

i) The difference of two rational number is a rational number

ii) Addition of rational numbers is associative

iii) Addition of rational numbers is commutative

iv) Subtraction of rational numbers is not commutative

v) The addition or subtraction of two rational number is a rational number

Answer:

All the statement are true

Question 4

Find the Multiplicative inverse of the following.

(i)

(ii)

(iii)

(iv)

(v)

(vi) 4

Answer

(i)

Multiplicative inverse

(ii)

Multiplicative inverse

(iii)

Multiplicative inverse = 2

(iv)

Multiplicative inverse = 1

(v)

Multiplicative inverse = 5

(VI) -1

Multiplicative inverse

Question 5

Which of these properties hold false for Multiplication of rational numbers?

1. Associative law

2. Closure law

3. Commutative law

4. Existence of Multiplicative identity

5. None of the these

Answer: None of these

Question 6

Find the below Multiplication

i)

ii)

iii)

Answer

i)

iii)

Question 7

Find the following

i)

ii)

iii)

iv)

Answer

i) Multiplicative inverse of

ii) Multiplicative inverse of

iii) Multiplicative inverse of

iv) Multiplicative inverse of

Question 8

The product of two rational number is 2, if one of the rational number is , what is the value of other?

Answer

Let a be the other number then

Or

Question 9

Fill in the blank

(i) …

(ii) The numbers … and … are their own reciprocals

(iii) The reciprocal of 1 is …

(iv) …

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

(vi) The reciprocal of a negative rational number is …

Answer

i)

ii) 1 and -1

iii) 1

iv) 3

v) Rational Number

vi) Negative Rational Number

Question 10

Write five rational numbers which are smaller than 5

Answer: 0, 1,2, 3,4

Question 11

Find five rational numbers between (1) and 2

Answer:

We can write s

So five rational numbers will be