Class 7 Exam > Class 7 Notes > Mathematics (Maths) Class 7 > RD Sharma Solutions: Rational Numbers (Exercise 4.1)
Rational Numbers (Exercise 4.1) 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 4.1 page no: 4.3
1. Write down the numerator of each of the following rational numbers:
(i) (-7/5)
(ii) (14/-4)
(iii) (-17/-21)
(iv) (8/9)
(v) 5
Solution:
(i) Given (-7/5)
Numerator of (-7/5) is -7
(ii) Given (14/-4)
Numerator of (14/-4) is 1
(iii) Given (-17/-21)
Numerator of (-17/-21) is -17
(iv) Given (8/9)
Numerator of (8/9) is 8
(v) Given 5
Numerator of 5 is 5
2. Write down the denominator of each of the following rational numbers:
(i) (-4/5)
(ii) (11/-34)
(iii) (-15/-82)
(iv) 15
(v) 0
Solution:
(i) Given (-4/5)
Denominator of (-4/5) is 5
(ii) Given (11/-34)
Page 2
Exercise 4.1 page no: 4.3
1. Write down the numerator of each of the following rational numbers:
(i) (-7/5)
(ii) (14/-4)
(iii) (-17/-21)
(iv) (8/9)
(v) 5
Solution:
(i) Given (-7/5)
Numerator of (-7/5) is -7
(ii) Given (14/-4)
Numerator of (14/-4) is 1
(iii) Given (-17/-21)
Numerator of (-17/-21) is -17
(iv) Given (8/9)
Numerator of (8/9) is 8
(v) Given 5
Numerator of 5 is 5
2. Write down the denominator of each of the following rational numbers:
(i) (-4/5)
(ii) (11/-34)
(iii) (-15/-82)
(iv) 15
(v) 0
Solution:
(i) Given (-4/5)
Denominator of (-4/5) is 5
(ii) Given (11/-34)
Denominator of (11/-34) is -43
(iii) Given (-15/-82)
Denominator of (15/-82) is -82
(iv) Given 15
Denominator of 15 is 1
(v) Given 0
Denominator of 0 is any non-zero integer
3. Write down the rational number whose numerator is (-3) × 4, and whose
denominator is (34 – 23) × (7 - 4).
Solution:
Given numerator = (-3) × 4 = -12
Denominator = (34 – 23) × (7 - 4)
= 11 × 3 = 33
Therefore the rational number = (-12/33)
4. Write down the rational numbers as integers: (7/1), (-12/1), (34/1), (-73/1), (95/1)
Solution:
Given (7/1), (-12/1), (34/1), (-73/1), (95/1)
Integers of (7/1), (-12/1), (34/1), (-73/1), (95/1) are 7, -12, 34, -73, 95
5. Write the following integers as rational numbers: -15, 17, 85, -100
Solution:
Given -15, 17, 85, -100
The rational numbers of given integers are (-15/1), (17/1), (85/1) and (-100/1)
6. Write down the rational number whose numerator is the smallest three digit
number and denominator is the largest four digit number.
Solution:
Smallest three digit number = 100
Page 3
Exercise 4.1 page no: 4.3
1. Write down the numerator of each of the following rational numbers:
(i) (-7/5)
(ii) (14/-4)
(iii) (-17/-21)
(iv) (8/9)
(v) 5
Solution:
(i) Given (-7/5)
Numerator of (-7/5) is -7
(ii) Given (14/-4)
Numerator of (14/-4) is 1
(iii) Given (-17/-21)
Numerator of (-17/-21) is -17
(iv) Given (8/9)
Numerator of (8/9) is 8
(v) Given 5
Numerator of 5 is 5
2. Write down the denominator of each of the following rational numbers:
(i) (-4/5)
(ii) (11/-34)
(iii) (-15/-82)
(iv) 15
(v) 0
Solution:
(i) Given (-4/5)
Denominator of (-4/5) is 5
(ii) Given (11/-34)
Denominator of (11/-34) is -43
(iii) Given (-15/-82)
Denominator of (15/-82) is -82
(iv) Given 15
Denominator of 15 is 1
(v) Given 0
Denominator of 0 is any non-zero integer
3. Write down the rational number whose numerator is (-3) × 4, and whose
denominator is (34 – 23) × (7 - 4).
Solution:
Given numerator = (-3) × 4 = -12
Denominator = (34 – 23) × (7 - 4)
= 11 × 3 = 33
Therefore the rational number = (-12/33)
4. Write down the rational numbers as integers: (7/1), (-12/1), (34/1), (-73/1), (95/1)
Solution:
Given (7/1), (-12/1), (34/1), (-73/1), (95/1)
Integers of (7/1), (-12/1), (34/1), (-73/1), (95/1) are 7, -12, 34, -73, 95
5. Write the following integers as rational numbers: -15, 17, 85, -100
Solution:
Given -15, 17, 85, -100
The rational numbers of given integers are (-15/1), (17/1), (85/1) and (-100/1)
6. Write down the rational number whose numerator is the smallest three digit
number and denominator is the largest four digit number.
Solution:
Smallest three digit number = 100
Largest four digit number = 9999
Therefore the rational number is = 100/9999
7. Separate positive and negative rational numbers from the following rational
numbers:
(-5/-7), (12/-5), (7/4), (13/-9), 0, (-18/-7), (-95/116), (-1/-9)
Solution:
Given (-5/-7), (12/-5), (7/4), (13/-9), 0, (-18/-7), (-95/116), (-1/-9)
A rational number is said to be positive if its numerator and denominator are either
positive integers or both negative integers.
Therefore positive rational numbers are: (-5/-7), (-18/-7), (7/4), (-1/-9)
A rational number is said to be negative integers if its numerator and denominator are
such that one of them is positive integer and another one is a negative integer.
Therefore negative rational numbers are: (12/-5), (13/-9), (-95/116)
8. Which of the following rational numbers are positive:
(i) (-8/7)
(ii) (9/8)
(iii) (-19/-13)
(iv) (-21/13)
Solution:
Given (-8/7), (9/8), (-19/-13), (-21/13)
A rational number is said to be positive if its numerator and denominator are either
positive integers or both negative integers.
Therefore the positive rational numbers are (9/8) and (-19/-13)
9. Which of the following rational numbers are negative:
(i) (-3/7)
(ii) (-5/-8)
(iii) (9/-83)
(iv) (-115/-197)
Solution:
Given (-3/7), (-5/-8), (9/-83), (-115/-197)
A rational number is said to be negative integers if its numerator and denominator are
Page 4
Exercise 4.1 page no: 4.3
1. Write down the numerator of each of the following rational numbers:
(i) (-7/5)
(ii) (14/-4)
(iii) (-17/-21)
(iv) (8/9)
(v) 5
Solution:
(i) Given (-7/5)
Numerator of (-7/5) is -7
(ii) Given (14/-4)
Numerator of (14/-4) is 1
(iii) Given (-17/-21)
Numerator of (-17/-21) is -17
(iv) Given (8/9)
Numerator of (8/9) is 8
(v) Given 5
Numerator of 5 is 5
2. Write down the denominator of each of the following rational numbers:
(i) (-4/5)
(ii) (11/-34)
(iii) (-15/-82)
(iv) 15
(v) 0
Solution:
(i) Given (-4/5)
Denominator of (-4/5) is 5
(ii) Given (11/-34)
Denominator of (11/-34) is -43
(iii) Given (-15/-82)
Denominator of (15/-82) is -82
(iv) Given 15
Denominator of 15 is 1
(v) Given 0
Denominator of 0 is any non-zero integer
3. Write down the rational number whose numerator is (-3) × 4, and whose
denominator is (34 – 23) × (7 - 4).
Solution:
Given numerator = (-3) × 4 = -12
Denominator = (34 – 23) × (7 - 4)
= 11 × 3 = 33
Therefore the rational number = (-12/33)
4. Write down the rational numbers as integers: (7/1), (-12/1), (34/1), (-73/1), (95/1)
Solution:
Given (7/1), (-12/1), (34/1), (-73/1), (95/1)
Integers of (7/1), (-12/1), (34/1), (-73/1), (95/1) are 7, -12, 34, -73, 95
5. Write the following integers as rational numbers: -15, 17, 85, -100
Solution:
Given -15, 17, 85, -100
The rational numbers of given integers are (-15/1), (17/1), (85/1) and (-100/1)
6. Write down the rational number whose numerator is the smallest three digit
number and denominator is the largest four digit number.
Solution:
Smallest three digit number = 100
Largest four digit number = 9999
Therefore the rational number is = 100/9999
7. Separate positive and negative rational numbers from the following rational
numbers:
(-5/-7), (12/-5), (7/4), (13/-9), 0, (-18/-7), (-95/116), (-1/-9)
Solution:
Given (-5/-7), (12/-5), (7/4), (13/-9), 0, (-18/-7), (-95/116), (-1/-9)
A rational number is said to be positive if its numerator and denominator are either
positive integers or both negative integers.
Therefore positive rational numbers are: (-5/-7), (-18/-7), (7/4), (-1/-9)
A rational number is said to be negative integers if its numerator and denominator are
such that one of them is positive integer and another one is a negative integer.
Therefore negative rational numbers are: (12/-5), (13/-9), (-95/116)
8. Which of the following rational numbers are positive:
(i) (-8/7)
(ii) (9/8)
(iii) (-19/-13)
(iv) (-21/13)
Solution:
Given (-8/7), (9/8), (-19/-13), (-21/13)
A rational number is said to be positive if its numerator and denominator are either
positive integers or both negative integers.
Therefore the positive rational numbers are (9/8) and (-19/-13)
9. Which of the following rational numbers are negative:
(i) (-3/7)
(ii) (-5/-8)
(iii) (9/-83)
(iv) (-115/-197)
Solution:
Given (-3/7), (-5/-8), (9/-83), (-115/-197)
A rational number is said to be negative integers if its numerator and denominator are
such that one of them is positive integer and another one is a negative integer.
Therefore negative rational numbers are (-3/7) and (9/-83)
Read More
|
76 videos|345 docs|39 tests
|
FAQs on Rational Numbers (Exercise 4.1) RD Sharma Solutions - Mathematics (Maths) Class 7
| 1. What are rational numbers? |  |
Ans. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. They can be positive, negative, or zero.
| 2. How do you identify a rational number? | |
Ans. A number can be identified as a rational number if it can be written in the form of p/q, where p and q are integers and q is not equal to zero.
| 3. What is the difference between a rational number and an irrational number? | |
Ans. Rational numbers can be expressed as fractions, whereas irrational numbers cannot be expressed as fractions. Irrational numbers are non-repeating and non-terminating decimals.
| 4. How can you represent rational numbers on a number line? | |
Ans. To represent rational numbers on a number line, we can mark the position of the whole number and then divide the gap between two consecutive whole numbers into equal parts. We can then locate the rational number on the number line based on its fractional value.
| 5. How can you compare rational numbers? | |
Ans. Rational numbers can be compared by converting them into a common denominator and then comparing the numerators. If the numerators are equal, the rational numbers are equal. If the numerators are not equal, we can compare them based on their size.
Related Exams
About this Document
|
4.84/5 Rating |
|
Nov 21, 2024 Last updated |
Document Description: RD Sharma Solutions: Rational Numbers (Exercise 4.1) for Class 7 2024 is part of Mathematics (Maths) Class 7 preparation.
The notes and questions for RD Sharma Solutions: Rational Numbers (Exercise 4.1) have been prepared according to the Class 7 exam syllabus. Information about RD Sharma Solutions: Rational Numbers (Exercise 4.1) covers topics
like and RD Sharma Solutions: Rational Numbers (Exercise 4.1) Example, for Class 7 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RD Sharma Solutions: Rational Numbers (Exercise 4.1).
Introduction of RD Sharma Solutions: Rational Numbers (Exercise 4.1) in English is available as part of our Mathematics (Maths) Class 7
for Class 7 & RD Sharma Solutions: Rational Numbers (Exercise 4.1) 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 4.1) RD Sharma Solutions | Mathematics (Maths) Class 7
Description
Full syllabus notes, lecture & questions for Rational Numbers (Exercise 4.1) 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 4.1)
In this doc you can find the meaning of RD Sharma Solutions: Rational Numbers (Exercise 4.1) defined & explained in the simplest way possible. Besides explaining types of
RD Sharma Solutions: Rational Numbers (Exercise 4.1) theory, EduRev gives you an ample number of questions to practice RD Sharma Solutions: Rational Numbers (Exercise 4.1) 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
ppt
,Free
,Important questions
,MCQs
,mock tests for examination
,Summary
,Rational Numbers (Exercise 4.1) RD Sharma Solutions | Mathematics (Maths) Class 7
,study material
,video lectures
,Viva Questions
,Rational Numbers (Exercise 4.1) RD Sharma Solutions | Mathematics (Maths) Class 7
,Sample Paper
,practice quizzes
,shortcuts and tricks
,Objective type Questions
,Extra Questions
,past year papers
,Exam
,Rational Numbers (Exercise 4.1) RD Sharma Solutions | Mathematics (Maths) Class 7
,Previous Year Questions with Solutions
,Semester Notes
,
Additional Information about RD Sharma Solutions: Rational Numbers (Exercise 4.1) for Class 7 Preparation
RD Sharma Solutions: Rational Numbers (Exercise 4.1) Free PDF Download
The RD Sharma Solutions: Rational Numbers (Exercise 4.1) 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 4.1) now and kickstart your journey towards success in the Class 7 exam.
Importance of RD Sharma Solutions: Rational Numbers (Exercise 4.1)
The importance of RD Sharma Solutions: Rational Numbers (Exercise 4.1) 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 4.1) Notes
RD Sharma Solutions: Rational Numbers (Exercise 4.1) 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 4.1).
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 4.1) Notes on EduRev are your ultimate resource for success.
RD Sharma Solutions: Rational Numbers (Exercise 4.1) Class 7 Questions
The "RD Sharma Solutions: Rational Numbers (Exercise 4.1) 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 4.1) on the App
Students of Class 7 can study RD Sharma Solutions: Rational Numbers (Exercise 4.1) 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 4.1),
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 4.1) is prepared as per the latest Class 7 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily