Sarthaks Test
0 votes
115 views
in Mathematics by (15.0k points)

State whether the following statements are true or false. Give reasons for your answers.

Every rational number is a whole number.

1 Answer

0 votes
by (24.8k points)
selected by
 
Best answer

False ,(Consider the rational numbers and whole numbers separately.

We know that rational numbers are the numbers that can be written in the form p/q where q  0.

We know that whole number series is 0,1, 2, 3, 4,5..... .

We know that every number of whole number series can be written in the form of p/q as 0/1,1/1,2/1,3/1,4/1,5/ .... .

We conclude that every number of the whole number series is a rational number.

But, every rational number does not appear in the whole number series.

Therefore, we conclude that every rational number is not a whole number.

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...