Question

ercise 3.1
State 'True' or 'False'. If false, give the reason in support of your answer.
every natural number is a rational number. ​

Answer 1

Answer:

false

Step-by-step explanation:

as natural number is only from 1 to 9 so it is false mark me brainlest please

Answer 2

Answer:

Every natural number is a rational number but a rational number need not be a natural number. ... In other words, every natural number n can be written as n = n/1, which is the quotient of two integers. Thus, every natural number is a rational

Step-by-step explanation:

We know that, 1 = 1/1, 2 = 2/1, 3 = 3/1 and so on ……. .

In other words, every natural number n can be written as n = n/1, which is the quotient of two integers. Thus, every natural number is a rational number.

Clearly, 3/2, 2/5, 1/7, 15/20, etc. are rational numbers but they are not natural numbers.

Hence, every natural number is a rational number but a rational number need not be a natural number.

i) 4/2

4/2 is a natural number. Since if we simplify 4/2 to its lowest term we get 2/1 = 2 which is a natural number.

(ii) 5/7

5/7 is not a natural number.

(iii) -15/5

-15/5 is not a natural number. Since if we simplify -15/5 to its lowest term we get -3/1 = -3 which is an integer but not a natural number.

(iv) -8/-4

-8/-4 is a natural number. Since if we simplify -8/-4 to its lowest term we get 2/1 = 2 which is a natural number.

(v) 1/10

1/10 is not a natural number.

(vi) 0/1

0/1 is not a natural number. Since 0/1 = 0 which is not a natural number.

(vii) 10/10

10/10 is a natural number. Since if we simplify 10/10 to its lowest term we get 1/1 = 1 which is a natural number.

(viii) 81/36

81/36 is not a natural number. Since, if we simplify 81/36 to its lowest term we get 9/4 which is a rational number but not a natural number.

So, from the above explanation we conclude that every rational number is not a natural number.

hope it helpss