Properties Of Rational Numbers
Chapter Name : Rational Numbers |
Sub Topic Code : 104_08_01_02_01 |
Topic Name : Properties Of Rational Numbers |
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Sub Topic Name : Closure |
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Introduction
When we perform an arithmetic function like addition, subtraction, multiplication and division on a set of numbers (say rational numbers), if the result will fall in the same set, we say the set satisfies closure property.
Pre-Requisites:
Basic knowledge about arithmetic operations and rational numbers
Activity:
Make a simple set with number cards in an urn. Pick two cards and perform arithmetic operations on them. Check if the result is a number in the urn or not.
Real Life Question:
Integer/Integer in not an Integer always; Rational + Rational = Rational?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Closure property | A set has closure property under an operation if the result of the operation is always an element of the set. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Number cards and urns | To set the range of a set and check the arithmetic operations to check closure property. |
Real life uses :
Giant wheel, Chess movements, Travelling animals in swarms
Practical examples around us
| Examples | Explainations |
|---|---|
| Fan | The speed control has only six positions and any kind of operation results in one or the other position. |
| March Drill | Any kind of turning command will return to a perfect predefined position. |
What you learn in Theory:
An Intro into closure property in whole numbers, integers and rational numbers.
What you learn in Practice:
The closure property of various sets made from the number cards and urn.