Question

Are the following statements true or false? Give reasons for your answer.
(i) Every whole number is a natural number.
(ii) Every integer is a rational number.
(iii) Every rational number is an integer.
(iv) Every natural number is a whole number.
(v) Every integer is a whole number.
(vi) Every rational number is a whole number

Answer 1

Step-by-step explanation:

the answer are

1.false

2.true

3.false

4.true

5.false

6.false

because whole number start from zero and natural number start from one therefore, every whole number is a natural number but every natural number is not a whole number.

every integer is a rational number but every rational number is not a integer

Answer 2

(i) Every whole number is a natural number.

FALSE  

Reason : because 0 is not a natural number.

Counting numbers including zero are known as whole numbers.

(ii) Every integer is a rational number.

TRUE

Reason :  because integers are a part of  rational numbers .

(iii) Every rational number is an integer.

FALSE  

Reason : because integer is a collection of all whole numbers and negative of natural numbers.

(iv) Every natural number is a whole number.

TRUE  

Reason : because every natural number i.e 1, 2, 3 belongs to the collection of whole numbers.

(v) Every integer is a whole number.

FALSE  

Reason : because negative integers are not considered in whole numbers.

(vi) Every rational number is a whole number

FALSE

Reason : because numbers like 3/2 is a rational number but not a whole number.

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A. Sum of two irrational numbers is always irrational.

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