Recent Lessons

Show all results for ""

Feature Overview

Ace your exams with our all-in-one platform for creating and sharing quizzes and tests.

Quizzes

Create quizzes and tests automatically from your content using AI.

Flashcards

Automatically turn your notes into digital flashcards.

Share, Export & Embed

Share with classmates or export to Excel and your learning management system.

Stats & Reporting

Auto-grading quizzes and tests with detailed stats and reports.

Mobile Apps

The smarter way to study – wherever you are.

Pricing

Search...

Class 8 Rational Numbers: Chapter 1 Notes

10 Questions

1 Views

Class 8 Rational Numbers: Chapter 1 Notes

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the commutative property applied to in the case of integers?

addition and multiplication

Which property applies to integers in the case of addition and multiplication but not in subtraction and division?

associative property

Define rational numbers in simple terms.

numbers that can be represented as a fraction of two integers

What does the closure property of rational numbers state for subtraction?

The difference between two rational numbers results in a rational number. Signup and view all the answers

Give an example to demonstrate the closure property of rational numbers in multiplication.

The product of 1/2 × (-4/5) = (-2/5) Signup and view all the answers

Define rational numbers.

Rational numbers are numbers involved in mathematical operations like addition, subtraction, and multiplication, closed under many mathematical processes. Signup and view all the answers

What is the set of natural numbers denoted as, and how is it defined?

The set of natural numbers is denoted as 'N' and is defined as {1, 2, 3, ...}. Signup and view all the answers

Explain the set of whole numbers and how it is different from natural numbers.

Whole numbers start from 0 and go up to infinity, including natural numbers with the addition of zero. The set of whole numbers is denoted as 'W'. Signup and view all the answers

What is the Closure Property and how does it apply to whole and natural numbers?

The Closure Property states that for whole numbers, addition and multiplication are closed operations, but subtraction and division are not closed. This property applies to natural numbers as well. Signup and view all the answers

How are rational numbers represented, and what is a key condition for their representation?

Rational numbers are represented as fractions where the denominator is not zero. The key condition is that the denominator cannot be zero. Signup and view all the answers