Class 7 Exam > Class 7 Notes > Mathematics (Maths) Class 7 > RD Sharma Solutions: Rational Numbers (Exercise 4.6)
Rational Numbers (Exercise 4.6) RD Sharma Solutions | Mathematics (Maths) Class 7 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
Exercise 4.6 page no: 4.26
1. Draw the number line and represent following rational number on it:
(i) (2/3)
(ii) (3/4)
(iii) (3/8)
(iv) (-5/8)
(v) (-3/16)
(vi) (-7/3)
(vii) (22/-7)
(viii) (-31/3)
Solution:
(i) We know that (2/3) is greater than 2 and less than 3.
? it lies between 2 and 3. It can be represented on number line as,
(ii) We know that (3/4) is greater than 0 and less than 1.
? it lies between 0 and 1. It can be represented on number line as,
(iii) We know that (3/8) is greater than 0 and less than 1.
? it lies between 0 and 1. It can be represented on number line as,
(iv) We know that (-5/8) is greater than -1 and less than 0.
? it lies between 0 and -1. It can be represented on number line as,
Page 2
Exercise 4.6 page no: 4.26
1. Draw the number line and represent following rational number on it:
(i) (2/3)
(ii) (3/4)
(iii) (3/8)
(iv) (-5/8)
(v) (-3/16)
(vi) (-7/3)
(vii) (22/-7)
(viii) (-31/3)
Solution:
(i) We know that (2/3) is greater than 2 and less than 3.
? it lies between 2 and 3. It can be represented on number line as,
(ii) We know that (3/4) is greater than 0 and less than 1.
? it lies between 0 and 1. It can be represented on number line as,
(iii) We know that (3/8) is greater than 0 and less than 1.
? it lies between 0 and 1. It can be represented on number line as,
(iv) We know that (-5/8) is greater than -1 and less than 0.
? it lies between 0 and -1. It can be represented on number line as,
(v) We know that (-3/16) is greater than -1 and less than 0.
? it lies between 0 and -1. It can be represented on number line as,
(vi) We know that (-7/3) is greater than -3 and less than -2.
? it lies between -3 and -2. It can be represented on number line as,
(vii) We know that (22/-7) is greater than -4 and less than -3.
? it lies between -3 and -4. It can be represented on number line as,
(Viii) We know that (-31/3) is greater than -11 and less than -10.
? it lies between -10 and -11. It can be represented on number line as,
2. Which of the two rational numbers in each of the following pairs of rational number
is greater?
(i) (-3/8), 0
(ii) (5/2), 0
(iii) (– 4/11), (3/11)
(iv) (– 7/12), (5/- 8)
(v) (4/-9), (– 3/- 7)
Page 3
Exercise 4.6 page no: 4.26
1. Draw the number line and represent following rational number on it:
(i) (2/3)
(ii) (3/4)
(iii) (3/8)
(iv) (-5/8)
(v) (-3/16)
(vi) (-7/3)
(vii) (22/-7)
(viii) (-31/3)
Solution:
(i) We know that (2/3) is greater than 2 and less than 3.
? it lies between 2 and 3. It can be represented on number line as,
(ii) We know that (3/4) is greater than 0 and less than 1.
? it lies between 0 and 1. It can be represented on number line as,
(iii) We know that (3/8) is greater than 0 and less than 1.
? it lies between 0 and 1. It can be represented on number line as,
(iv) We know that (-5/8) is greater than -1 and less than 0.
? it lies between 0 and -1. It can be represented on number line as,
(v) We know that (-3/16) is greater than -1 and less than 0.
? it lies between 0 and -1. It can be represented on number line as,
(vi) We know that (-7/3) is greater than -3 and less than -2.
? it lies between -3 and -2. It can be represented on number line as,
(vii) We know that (22/-7) is greater than -4 and less than -3.
? it lies between -3 and -4. It can be represented on number line as,
(Viii) We know that (-31/3) is greater than -11 and less than -10.
? it lies between -10 and -11. It can be represented on number line as,
2. Which of the two rational numbers in each of the following pairs of rational number
is greater?
(i) (-3/8), 0
(ii) (5/2), 0
(iii) (– 4/11), (3/11)
(iv) (– 7/12), (5/- 8)
(v) (4/-9), (– 3/- 7)
(vi) (– 5/8), (3/- 4)
(vii) (5/9), (-3/- 8)
(viii) (5/- 8), (-7/12)
Solution:
(i) Given (-3/8), 0
We know that every positive rational number is greater than zero and every negative
rational number is smaller than zero. Thus, - (3/8) > 0
(ii) Given (5/2), 0
We know that every positive rational number is greater than zero and every negative
rational number is smaller than zero. Thus, (5/2) > 0
(iii) Given (– 4/11), (3/11)
We know that every positive rational number is greater than zero and every negative
rational number is smaller than zero, also the denominator is same in given question
now we have to compare the numerator, thus - 4/11 < 3/11.
(iv) Given (– 7/12), (5/- 8)
Consider (– 7/12)
Multiply both numerator and denominator by 2 then we get
(-7/12) × (2/2) = (-14/24)…… (1)
Now consider (5/-8)
Multiply both numerator and denominator by 3 we get
(5/-8) × (3/3) = (15/-24)…… (2)
The denominator is same in equation (1) and (2) now we have to compare the
numerator, thus (– 7/12) > (5/- 8)
(v) Given (4/-9), (– 3/- 7)
Consider (4/-9)
Multiply both numerator and denominator by 7 then we get
(4/-9) × (7/7) = (28/-63)…… (1)
Now consider (-3/-7)
Multiply both numerator and denominator by 9 we get
(-3/-7) × (9/9) = (-27/-63)…… (2)
The denominator is same in equation (1) and (2) now we have to compare the
numerator, thus (4/-9) < (– 3/- 7)
Page 4
Exercise 4.6 page no: 4.26
1. Draw the number line and represent following rational number on it:
(i) (2/3)
(ii) (3/4)
(iii) (3/8)
(iv) (-5/8)
(v) (-3/16)
(vi) (-7/3)
(vii) (22/-7)
(viii) (-31/3)
Solution:
(i) We know that (2/3) is greater than 2 and less than 3.
? it lies between 2 and 3. It can be represented on number line as,
(ii) We know that (3/4) is greater than 0 and less than 1.
? it lies between 0 and 1. It can be represented on number line as,
(iii) We know that (3/8) is greater than 0 and less than 1.
? it lies between 0 and 1. It can be represented on number line as,
(iv) We know that (-5/8) is greater than -1 and less than 0.
? it lies between 0 and -1. It can be represented on number line as,
(v) We know that (-3/16) is greater than -1 and less than 0.
? it lies between 0 and -1. It can be represented on number line as,
(vi) We know that (-7/3) is greater than -3 and less than -2.
? it lies between -3 and -2. It can be represented on number line as,
(vii) We know that (22/-7) is greater than -4 and less than -3.
? it lies between -3 and -4. It can be represented on number line as,
(Viii) We know that (-31/3) is greater than -11 and less than -10.
? it lies between -10 and -11. It can be represented on number line as,
2. Which of the two rational numbers in each of the following pairs of rational number
is greater?
(i) (-3/8), 0
(ii) (5/2), 0
(iii) (– 4/11), (3/11)
(iv) (– 7/12), (5/- 8)
(v) (4/-9), (– 3/- 7)
(vi) (– 5/8), (3/- 4)
(vii) (5/9), (-3/- 8)
(viii) (5/- 8), (-7/12)
Solution:
(i) Given (-3/8), 0
We know that every positive rational number is greater than zero and every negative
rational number is smaller than zero. Thus, - (3/8) > 0
(ii) Given (5/2), 0
We know that every positive rational number is greater than zero and every negative
rational number is smaller than zero. Thus, (5/2) > 0
(iii) Given (– 4/11), (3/11)
We know that every positive rational number is greater than zero and every negative
rational number is smaller than zero, also the denominator is same in given question
now we have to compare the numerator, thus - 4/11 < 3/11.
(iv) Given (– 7/12), (5/- 8)
Consider (– 7/12)
Multiply both numerator and denominator by 2 then we get
(-7/12) × (2/2) = (-14/24)…… (1)
Now consider (5/-8)
Multiply both numerator and denominator by 3 we get
(5/-8) × (3/3) = (15/-24)…… (2)
The denominator is same in equation (1) and (2) now we have to compare the
numerator, thus (– 7/12) > (5/- 8)
(v) Given (4/-9), (– 3/- 7)
Consider (4/-9)
Multiply both numerator and denominator by 7 then we get
(4/-9) × (7/7) = (28/-63)…… (1)
Now consider (-3/-7)
Multiply both numerator and denominator by 9 we get
(-3/-7) × (9/9) = (-27/-63)…… (2)
The denominator is same in equation (1) and (2) now we have to compare the
numerator, thus (4/-9) < (– 3/- 7)
(vi) Given (– 5/8), (3/- 4)
Now consider (3/-4)
Multiply both numerator and denominator by 2 we get
(3/-4) × (2/2) = (6/-8)
The denominator is same in above equation now we have to compare the numerator,
thus (– 5/8) > (3/- 4)
(vii) Given (5/9), (-3/- 8)
Consider (5/9)
Multiply both numerator and denominator by 8 then we get
(5/9) × (8/8) = (40/72)…… (1)
Now consider (5/-8)
Multiply both numerator and denominator by 9 we get
(-3/-8) × (9/9) = (-27/-72)…… (2)
The denominator is same in equation (1) and (2) now we have to compare the
numerator, thus (5/9) > (-3/- 8)
(viii) Given (5/- 8), (-7/12)
Consider (5/-8)
Multiply both numerator and denominator by 3 then we get
(5/-8) × (3/3) = (15/-24)…… (1)
Now consider (-7/12)
Multiply both numerator and denominator by 2 we get
(-7/12) × (2/2) = (-14/24)…… (2)
The denominator is same in equation (1) and (2) now we have to compare the
numerator, thus (5/- 8) < (-7/12)
3. 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)
Solution:
(i) Given (-6/-13), (7/13)
Page 5
Exercise 4.6 page no: 4.26
1. Draw the number line and represent following rational number on it:
(i) (2/3)
(ii) (3/4)
(iii) (3/8)
(iv) (-5/8)
(v) (-3/16)
(vi) (-7/3)
(vii) (22/-7)
(viii) (-31/3)
Solution:
(i) We know that (2/3) is greater than 2 and less than 3.
? it lies between 2 and 3. It can be represented on number line as,
(ii) We know that (3/4) is greater than 0 and less than 1.
? it lies between 0 and 1. It can be represented on number line as,
(iii) We know that (3/8) is greater than 0 and less than 1.
? it lies between 0 and 1. It can be represented on number line as,
(iv) We know that (-5/8) is greater than -1 and less than 0.
? it lies between 0 and -1. It can be represented on number line as,
(v) We know that (-3/16) is greater than -1 and less than 0.
? it lies between 0 and -1. It can be represented on number line as,
(vi) We know that (-7/3) is greater than -3 and less than -2.
? it lies between -3 and -2. It can be represented on number line as,
(vii) We know that (22/-7) is greater than -4 and less than -3.
? it lies between -3 and -4. It can be represented on number line as,
(Viii) We know that (-31/3) is greater than -11 and less than -10.
? it lies between -10 and -11. It can be represented on number line as,
2. Which of the two rational numbers in each of the following pairs of rational number
is greater?
(i) (-3/8), 0
(ii) (5/2), 0
(iii) (– 4/11), (3/11)
(iv) (– 7/12), (5/- 8)
(v) (4/-9), (– 3/- 7)
(vi) (– 5/8), (3/- 4)
(vii) (5/9), (-3/- 8)
(viii) (5/- 8), (-7/12)
Solution:
(i) Given (-3/8), 0
We know that every positive rational number is greater than zero and every negative
rational number is smaller than zero. Thus, - (3/8) > 0
(ii) Given (5/2), 0
We know that every positive rational number is greater than zero and every negative
rational number is smaller than zero. Thus, (5/2) > 0
(iii) Given (– 4/11), (3/11)
We know that every positive rational number is greater than zero and every negative
rational number is smaller than zero, also the denominator is same in given question
now we have to compare the numerator, thus - 4/11 < 3/11.
(iv) Given (– 7/12), (5/- 8)
Consider (– 7/12)
Multiply both numerator and denominator by 2 then we get
(-7/12) × (2/2) = (-14/24)…… (1)
Now consider (5/-8)
Multiply both numerator and denominator by 3 we get
(5/-8) × (3/3) = (15/-24)…… (2)
The denominator is same in equation (1) and (2) now we have to compare the
numerator, thus (– 7/12) > (5/- 8)
(v) Given (4/-9), (– 3/- 7)
Consider (4/-9)
Multiply both numerator and denominator by 7 then we get
(4/-9) × (7/7) = (28/-63)…… (1)
Now consider (-3/-7)
Multiply both numerator and denominator by 9 we get
(-3/-7) × (9/9) = (-27/-63)…… (2)
The denominator is same in equation (1) and (2) now we have to compare the
numerator, thus (4/-9) < (– 3/- 7)
(vi) Given (– 5/8), (3/- 4)
Now consider (3/-4)
Multiply both numerator and denominator by 2 we get
(3/-4) × (2/2) = (6/-8)
The denominator is same in above equation now we have to compare the numerator,
thus (– 5/8) > (3/- 4)
(vii) Given (5/9), (-3/- 8)
Consider (5/9)
Multiply both numerator and denominator by 8 then we get
(5/9) × (8/8) = (40/72)…… (1)
Now consider (5/-8)
Multiply both numerator and denominator by 9 we get
(-3/-8) × (9/9) = (-27/-72)…… (2)
The denominator is same in equation (1) and (2) now we have to compare the
numerator, thus (5/9) > (-3/- 8)
(viii) Given (5/- 8), (-7/12)
Consider (5/-8)
Multiply both numerator and denominator by 3 then we get
(5/-8) × (3/3) = (15/-24)…… (1)
Now consider (-7/12)
Multiply both numerator and denominator by 2 we get
(-7/12) × (2/2) = (-14/24)…… (2)
The denominator is same in equation (1) and (2) now we have to compare the
numerator, thus (5/- 8) < (-7/12)
3. 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)
Solution:
(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)
4. Fill in the blanks by the correct symbol out of >, =, or <:
(i) (-6/7) …. (7/13)
(ii) (-3/5) …. (-5/6)
(iii) (-2/3) …. (5/-8)
(iv) 0 …. (-2/5)
Solution:
(i) (- 6/7) < (7/13)
Explanation:
Because every positive number is greater than a negative number.
(ii) (-3/5) > (-5/6)
Read More
|
76 videos|344 docs|39 tests
|
Related Exams
About this Document
|
4.73/5 Rating |
|
Dec 22, 2024 Last updated |
Document Description: RD Sharma Solutions: Rational Numbers (Exercise 4.6) for Class 7 2024 is part of Mathematics (Maths) Class 7 preparation.
The notes and questions for RD Sharma Solutions: Rational Numbers (Exercise 4.6) have been prepared according to the Class 7 exam syllabus. Information about RD Sharma Solutions: Rational Numbers (Exercise 4.6) covers topics
like and RD Sharma Solutions: Rational Numbers (Exercise 4.6) Example, for Class 7 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RD Sharma Solutions: Rational Numbers (Exercise 4.6).
Introduction of RD Sharma Solutions: Rational Numbers (Exercise 4.6) in English is available as part of our Mathematics (Maths) Class 7
for Class 7 & RD Sharma Solutions: Rational Numbers (Exercise 4.6) in Hindi for Mathematics (Maths) Class 7 course.
Download more important topics related with notes, lectures and mock test series for Class 7
Exam by signing up for free. Class 7: Rational Numbers (Exercise 4.6) RD Sharma Solutions | Mathematics (Maths) Class 7
Description
Full syllabus notes, lecture & questions for Rational Numbers (Exercise 4.6) RD Sharma Solutions | Mathematics (Maths) Class 7 - Class 7 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 7 | Best notes, free PDF download
Information about RD Sharma Solutions: Rational Numbers (Exercise 4.6)
In this doc you can find the meaning of RD Sharma Solutions: Rational Numbers (Exercise 4.6) defined & explained in the simplest way possible. Besides explaining types of
RD Sharma Solutions: Rational Numbers (Exercise 4.6) theory, EduRev gives you an ample number of questions to practice RD Sharma Solutions: Rational Numbers (Exercise 4.6) tests, examples and also practice Class 7
tests
|
Explore Courses for Class 7 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Exam
,Rational Numbers (Exercise 4.6) RD Sharma Solutions | Mathematics (Maths) Class 7
,Objective type Questions
,Semester Notes
,Sample Paper
,shortcuts and tricks
,Extra Questions
,Previous Year Questions with Solutions
,past year papers
,MCQs
,Rational Numbers (Exercise 4.6) RD Sharma Solutions | Mathematics (Maths) Class 7
,practice quizzes
,Free
,mock tests for examination
,study material
,video lectures
,Summary
,Viva Questions
,Rational Numbers (Exercise 4.6) RD Sharma Solutions | Mathematics (Maths) Class 7
,Important questions
,ppt
;
Additional Information about RD Sharma Solutions: Rational Numbers (Exercise 4.6) for Class 7 Preparation
RD Sharma Solutions: Rational Numbers (Exercise 4.6) Free PDF Download
The RD Sharma Solutions: Rational Numbers (Exercise 4.6) is an invaluable resource that delves deep into the core of the Class 7 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the RD Sharma Solutions: Rational Numbers (Exercise 4.6) now and kickstart your journey towards success in the Class 7 exam.
Importance of RD Sharma Solutions: Rational Numbers (Exercise 4.6)
The importance of RD Sharma Solutions: Rational Numbers (Exercise 4.6) cannot be overstated, especially for Class 7 aspirants.
This document holds the key to success in the Class 7 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
RD Sharma Solutions: Rational Numbers (Exercise 4.6) Notes
RD Sharma Solutions: Rational Numbers (Exercise 4.6) Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to RD Sharma Solutions: Rational Numbers (Exercise 4.6).
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, RD Sharma Solutions: Rational Numbers (Exercise 4.6) Notes on EduRev are your ultimate resource for success.
RD Sharma Solutions: Rational Numbers (Exercise 4.6) Class 7 Questions
The "RD Sharma Solutions: Rational Numbers (Exercise 4.6) Class 7 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 7 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study RD Sharma Solutions: Rational Numbers (Exercise 4.6) on the App
Students of Class 7 can study RD Sharma Solutions: Rational Numbers (Exercise 4.6) alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the RD Sharma Solutions: Rational Numbers (Exercise 4.6),
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of RD Sharma Solutions: Rational Numbers (Exercise 4.6) is prepared as per the latest Class 7 syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup