Q. 44.4( 18 Votes )

# Write, whether the given statement is true or false. Give reasons.(i) Every natural number is a whole number.(ii) Every whole number is a natural number.(iii) Every integer is a rational number.(iv) Every rational number is a whole number.(v) Every terminating decimal is a rational number.(vi) Every repeating decimal is a rational number.(vii) 0 is a rational number.

(i) True: every natural number is the whole number because natural number starts with 1 and whole number start with 0. So, every natural number will automatically fall in the category of whole number.

(ii) False: every whole number can’t be natural number as natural number starts from 1 and whole number starts with 0.

(iii) True: Integers includes all whole numbers and their negative counterparts. Rational numbers can be expressed in the form of fractions where denominator is not equals to the zero but both, numerator and denominator are integers.

(iv) False: Rational number is the number which can be expressed in the form of fraction where denominator is not equals to zero. But whole numbers are natural numbers including zero and they can’t be written in fractional form.

(v) True: Rational number is the number which can be expressed in the form of fraction where denominator is not equals to zero and terminating decimal can also be written in fraction form.

(vi) True: Yes, every repeating decimal is also the rational number because it also written in the form of fraction.

(vii) True: yes, 0 is also the rational number because it can be written in the form of fraction.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Number Systems43 mins
Genius Quiz | Number Series24 mins
Simplification of Expressions and Finding their Values Using Laws of Exponents38 mins
Score more on Number line44 mins
Irrational numbers on Number line32 mins
Terminating & Non - Terminating Decimal Expansion51 mins
The Curious Case of Irrational Numbers43 mins
Doubts & Quiz - Simplification of Expressions and Laws of Exponents41 mins
Bonus Questions on Rationalization47 mins
Quiz on Irrational Numbers31 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

If =1.4142, then is equal to

RD Sharma - Mathematics

The value of is

RD Sharma - Mathematics

If x = , then x2 + -2 =

RD Sharma - Mathematics

If , then a =

RD Sharma - Mathematics

If x = 3+, find the value of x2+.

RD Sharma - Mathematics

The decimal representation of an irrational number is

RS Aggarwal & V Aggarwal - Mathematics

An irrational number between

RS Aggarwal & V Aggarwal - Mathematics