Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
4.7k views
in Number System by (56.3k points)

Which of the two rational numbers in each of the following pairs of rational numbers is smaller?

(i) (-6/-13), (7/13)

(ii) (16/-5), 3

(iii) (-4/3), (8/-7)

(iv) (-12/5), (-3)

1 Answer

+1 vote
by (30.5k points)
selected by
 
Best answer

(i) Given (-6/-13), (7/13)

Here denominator is same therefore compare the numerator,

Thus (-6/-13) < (7/13)

(ii) Given (16/-5), 3

We know that 3 is a whole number with positive sign

Therefore (16/-5) < 3

(iii) Given (-4/3), (8/-7)

Consider (-4/3)

Multiply both numerator and denominator by 7 then we get

(-4/3) × (7/7) = (-28/21)…… (1)

Now consider (8/-7)

Multiply both numerator and denominator by 3 we get

(8/-7) × (3/3) = (-24/21)…… (2)

The denominator is same in equation (1) and (2) now we have to compare the numerator, thus (-4/3) < (8/-7)

(iv) Given (-12/5), (-3)

Now consider (-3/1)

Multiply both numerator and denominator by 5 we get

(-3/1) × (5/5) = (-15/5)

The denominator is same in above equation, now we have to compare the numerator, thus (-12/5) > (-3).

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

...