Properties Of Rational Numbers
Chapter Name : Rational Numbers |
Sub Topic Code : 104_08_01_02_02 |
Topic Name : Properties Of Rational Numbers |
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Sub Topic Name : Commutativity |
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Introduction
When the result of any operation remains unchanged irrespective of the order. So, one and two become three. But, two and one also become three.
Pre-Requisites:
Basic knowledge about arithmetic operations and rational numbers.
Activity:
Remove balls from the urn in various orders and see what happens when the last ball is removed. Either you remove one at a time, or two at a time, the whole urn will be empty after sometime. Any place, walk five steps forward and a step backward for the first time and then a step backward and five steps forward the second time. Do you cover different distances or same?
Real Life Question:
Which comes first among the night and the day? Does the order always matter?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Commutative property | An operation is commutative, if changing the order of the numbers does not change the end result |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Numbered balls and urn | First take out the balls in ascending order until the urn is empty. Now repeat in descending order and in random orders |
Real life uses :
Eating Pizza, wearing shoes, Price lists in super markets
Practical examples around us
| Examples | Explainations |
|---|---|
| House cleaning | It doesn’t matter which room we start cleaning first. |
| Home work | It doesn’t matter which subject we complete first. |
What you learn in Theory:
An Intro into commutative property in whole numbers, integers and rational numbers.
What you learn in Practice:
The order in which few operations are performed are immaterial.