Question

State whether the following statements are true or false
1)Every natural number is a whole number.
3) Every integer is a whole number.
2) Every rational number is a whole number.

And give reasons for answer ​

Answer 1

THINGS TO KNOW :

Natural numbers are numbers from 1 to infinite.

Whole numbers are numbers from 0 to infinite.

Integers are a group of numbers consisting negative and positive both the numbers.

Rational numbers are those numbers that cone in the form of p/q where q ≠ 0.

QUESTION :

State whether the following statements are true or false :

1)Every natural number is a whole number.

Ans : True as whole numbers consists of numbers from 1 to infinite.

2) Every integer is a whole number.

Ans : False as because integers consists both negative and positive numbers whereas whole numbers are numbers from 0 to infinite.

3) Every rational number is a whole number.

Ans : False. Whole numbers are just whole in nature not half nothing and rational number can be negative but a whole number can't be.

Answer 2

$\huge\bold{Question:}$

State whether the following statements are true or false and give reasons for every answer :

1)Every natural number is a whole number.

$\large\bold{Answer:}$ True, as because if we include zero or 0 in the collection or group of natural numbers, then the numbers we'll obtain are known as $\bold{whole \:numbers.}$

2) Every integer is a whole number.

$\large\bold{Answer:}$ False. The collection of numbers obtained by including zero or 0 and negative numbers i.e., -1, -2, -3 and so on in the collection of natural numbers are called $\bold{integers.}$

3) Every rational number is a whole number.

$\large\bold{Answer:}$ False, because rational numbers are those numbers which can be expressed in the form p/q and p and q are integers and q is not equal to 0 whereas whole numbers are complete (whole) numbers which cannot be in fractional form.