Introduction
Chapter Name : Real Numbers |
Sub Topic Code : 104_10_01_01_01 |
Topic Name : Introduction |
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Sub Topic Name : Introduction |
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Pre-Requisites:
Basic knowledge of real numbers.
Activity:
Take any 2 rational numbers on the number line and prove that there exists definitely a rational number between them and observe there are infinitely many rational numbers between 2 rational numbers.
Real Life Question:
If the radius of a circular racing track is 49m, then is the perimeter of the racing track an irrational number?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Rational number Irrational number Real numbers | Any number which can be written in p/q form, q ?0 is called rational number. Any number which cannot be written in the form of p/q, where q?0 is called as irrational number Collections of rational and irrational numbers is called as real numbers |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Real numbers on number line | Show 10 rational and 10 irrational numbers on number line |
Real life uses :
Everywhere! Weights of an object, your height, area of a plot are real numbers.
Practical examples around us
| Examples | Explainations |
|---|---|
| A farmer had a circular plot of radius 7m; he said the area to be 154 m2. Is that right? | Not exactly, here the farmer approximated ? to be 22/7 but ??22/7.But can be approximated to 22/7. |
What you learn in Theory:
Real numbers, irrational numbers, rational numbers.
What you learn in Practice:
Real numbers is collection of rational numbers and irrational numbers.