Class 7 Exam > Class 7 Videos > Advance Learner Course: Mathematics (Maths) Class 7 > Associative Property of Rational Numbers
Associative Property of Rational Numbers Video Lecture | Advance Learner Course: Mathematics (Maths) Class 7
|
41 videos|45 docs|9 tests
|
FAQs on Associative Property of Rational Numbers Video Lecture - Advance Learner Course: Mathematics (Maths) Class 7
| 1. What is the associative property of rational numbers? |  |
Ans. The associative property of rational numbers states that the grouping of numbers in an addition or multiplication operation does not affect the result. For addition, it can be expressed as (a + b) + c = a + (b + c), and for multiplication, it can be expressed as (a * b) * c = a * (b * c).
| 2. How does the associative property apply to rational numbers? | |
Ans. The associative property applies to rational numbers in the same way as it applies to whole numbers or integers. It allows us to change the grouping of numbers in an addition or multiplication operation without changing the sum or product. This property is useful in simplifying calculations and solving equations involving rational numbers.
| 3. Can you provide an example of the associative property of rational numbers in action? | |
Ans. Certainly! Let's consider the addition of three rational numbers: 1/2, 3/4, and 5/6. According to the associative property, (1/2 + 3/4) + 5/6 should give us the same result as 1/2 + (3/4 + 5/6).
Using the first grouping, (1/2 + 3/4) + 5/6, we can find the common denominator, which is 12. Then, we add the fractions: (6/12 + 9/12) + 10/12 = 15/12 + 10/12 = 25/12.
Using the second grouping, 1/2 + (3/4 + 5/6), we again find the common denominator, which is 12. Then, we add the fractions: 1/2 + (9/12 + 10/12) = 1/2 + 19/12 = 13/12.
As we can see, both calculations yield different numerical results. Therefore, the associative property does not hold for addition of rational numbers in this case.
| 4. Does the associative property hold for multiplication of rational numbers? | |
Ans. Yes, the associative property does hold for multiplication of rational numbers. For example, consider the multiplication of three rational numbers: 2/3, 4/5, and 6/7. According to the associative property, (2/3 * 4/5) * 6/7 should give us the same result as 2/3 * (4/5 * 6/7).
Using the first grouping, (2/3 * 4/5) * 6/7, we multiply the fractions: (8/15) * 6/7 = 48/105.
Using the second grouping, 2/3 * (4/5 * 6/7), we multiply the fractions: 2/3 * (24/35) = 48/105.
As we can see, both calculations yield the same result of 48/105. Therefore, the associative property holds for multiplication of rational numbers.
| 5. Can the associative property be applied to both addition and multiplication of rational numbers simultaneously? | |
Ans. No, the associative property cannot be applied to both addition and multiplication of rational numbers simultaneously. While the property holds true for either addition or multiplication individually, it does not hold true when applying both operations simultaneously to a group of rational numbers. The associative property specifically applies to a single operation at a time.
Related Exams
About this Video
|
3.3K Views |
|
4.90/5 Rating |
|
Dec 25, 2024 Last updated |
Video Description: Associative Property of Rational Numbers for Class 7 2024 is part of Advance Learner Course: Mathematics (Maths) Class 7 preparation.
The notes and questions for Associative Property of Rational Numbers have been prepared according to the Class 7 exam syllabus.
Information about Associative Property of Rational Numbers covers all important topics for Class 7 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Associative Property of Rational Numbers.
Introduction of Associative Property of Rational Numbers in English is available as part of our Advance Learner Course: Mathematics (Maths) Class 7 for Class 7 & Associative Property of Rational Numbers in
Hindi for Advance Learner Course: 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.
Description
Video Lecture & Questions for Associative Property of Rational Numbers Video Lecture | Advance Learner Course: Mathematics (Maths) Class 7 - Class 7 full syllabus preparation | Free video for Class 7 exam to prepare for Advance Learner Course: Mathematics (Maths) Class 7.
Information about Associative Property of Rational Numbers
Here you can find the meaning of Associative Property of Rational Numbers defined & explained in the simplest way possible.
Besides explaining types of Associative Property of Rational Numbers theory, EduRev gives you an ample number of questions to practice Associative Property of Rational Numbers tests,
examples and also practice Class 7 tests.
|
41 videos|45 docs|9 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
Free
,ppt
,Exam
,study material
,video lectures
,MCQs
,mock tests for examination
,past year papers
,shortcuts and tricks
,Previous Year Questions with Solutions
,Semester Notes
,Objective type Questions
,Associative Property of Rational Numbers Video Lecture | Advance Learner Course: Mathematics (Maths) Class 7
,Important questions
,Associative Property of Rational Numbers Video Lecture | Advance Learner Course: Mathematics (Maths) Class 7
,Viva Questions
,Sample Paper
,Summary
,Associative Property of Rational Numbers Video Lecture | Advance Learner Course: Mathematics (Maths) Class 7
,practice quizzes
,Extra Questions
;
Study Associative Property of Rational Numbers on the App
Students of Class 7 can study Associative Property of Rational Numbers alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Associative Property of Rational Numbers,
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 Associative Property of Rational Numbers 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