Rational Numbers Between Two Rational Numbers
Chapter Name : Rational Numbers |
Sub Topic Code : 104_08_01_04_01 |
Topic Name : Rational Numbers Between Two Rational Numbers |
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Sub Topic Name : Rational Numbers Between Two Rational Numbers |
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Introduction
There are countless rational numbers in between two rational numbers. Thus we can go on dividing the space between any two numbers infinitely and we will get countless rational numbers
Pre-Requisites:
Basic knowledge about numbers
Activity:
Make a number line and locate the fractions we get by dividing various sets of integers on the line and see how many rational numbers can you count.
Real Life Question:
Into how many pieces can you divide your piece of cake?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Rational number | Fraction of two integers with denominator not equal to 0 |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Wooden sticks as number lines | A line can be sketched on the wooden stick and marks can be made. Numbers written on papers can be placed in the marks. |
Real life uses :
Surveying of lands, positioning of winners, examination ranks
Practical examples around us
| Examples | Explainations |
|---|---|
| Speedometer | The speedometer is calibrated and the speed is a rational number. Exact speed can be calculated by using addition of rational numbers. |
| Split timing stop watch | These stop watches can measure to milliseconds and the time always comes out in the form of a rational number |
What you learn in Theory:
An Intro into the number of rational numbers in between two rational numbers.
What you learn in Practice:
There can be indefinite number of rational numbers in between two rational numbers. This has many applications in higher mathematics applied sciences. This topic throws light on the importance of the concept.