Q. 53.8( 37 Votes )
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 :
(i) False: As whole numbers include zero, whereas natural numbers doesn’t include zero.
(ii) True: As integers are a part of rational numbers.
(iii) False: As integers are a part of natural numbers.
(iv) True: As whole numbers include all the natural numbers.
(v) False: As whole numbers are a part of integers.
(vi) False: As rational numbers include all the whole numbers.
Rate this question :
The Curious Case of Irrational Numbers43 mins
Bonus Questions on Rationalization47 mins
Quiz | Rationalizing the Denominator39 mins
Irrational numbers on Number line32 mins
Terminating & Non - Terminating Decimal Expansion51 mins
Quiz on Irrational Numbers31 mins
Quiz | Learning the Laws of Exponents52 mins
Quiz | Irrational Numbers and its Operations45 mins
Champ Quiz | Rationalization30 mins
RD Sharma | Practice Imp.Qs. on Number System48 mins
State whether the following statements are true or false? Justify your answer.
is written in the form 𝑝𝑞, 𝑞 ≠0 and so it is a rational number.
State whether the following statements are true or false? Justify your answer.
There are infinitely many integers between any two integers.
NCERT Mathematics ExemplarClassify the following numbers as rational or irrational with justification:
0.5918
NCERT Mathematics ExemplarClassify the following numbers as rational or irrational with justification:
10.124124…
NCERT Mathematics ExemplarState whether the following statements are true or false? Justify your answer.
Number of rational numbers between 15 and 18 is finite.
NCERT Mathematics ExemplarState whether the following statements are true or false? Justify your answer.
is not a rational number as √12 and √3 are not integers.
Classify the following numbers as rational or irrational with justification:
Find two rational numbers lying between 
