8th Math NCERT Chapter 1
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Here are the important topics from the chapter on Rational Numbers along with a brief summary for each topic that students can use for revision:
1. Introduction to Rational Numbers:
– Summary: Rational numbers include integers, whole numbers, and fractions. They are necessary to solve equations that other number types cannot handle.
2. Properties of Rational Numbers:
– Closure Property:
– Summary: Whole numbers are closed under addition and multiplication, but not subtraction and division. Integers are closed under addition, subtraction, and multiplication, but not division. Rational numbers are closed under addition, subtraction, and multiplication, but not division.
– Commutativity:
– Summary: Addition and multiplication are commutative for whole numbers, integers, and rational numbers, but subtraction and division are not commutative.
These topics cover the foundational understanding of rational numbers and their properties in mathematics.
What led to the introduction of whole numbers in mathematics?
What types of numbers are closed under addition, subtraction, and multiplication but not under division?
Define a rational number and provide examples of rational numbers.
Are rational numbers closed under addition, subtraction, multiplication, and division?
Explain the commutativity of operations for whole numbers and rational numbers.
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