Class 8 Rational Numbers: Chapter 1 Notes

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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