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Revisiting Rational Numbers And Their Decimal Expansions
Chapter Name : Real Numbers
Sub Topic Code : 104_10_01_05_01
Topic Name : Revisiting Rational Numbers And Their Decimal Expansions
Sub Topic Name : Revisiting Rational Numbers And Their Decimal Expansions
Introduction

What is rational number? Decimal form of rational number.

Pre-Requisites:

Basic knowledge of rational numbers.

Activity:

Observe the terminating decimal forms of rational numbers always have denominator in the form of 2^m*5^n (^ is raised to power,a^2=a*a)

Real Life Question:

In a 400 m race, the time is recorded with a 3 decimal point precision. An athlete records a time of 15.234s.Is the number a rational number. If it is, then what is the form of the denominator?

Key Words / FlashCards
Key Words Definitions (pref. in our own words)
Rational number Recurring decimals Terminating decimals Any number which can be written in p/q form, q ?0 is called rational number. A decimal number of the form a.bcdebcdebcde… i.e., the numbers in the decimal is repeating. A decimal number in which
Learning aids / Gadgets
Gadgets How it can be used
Rational number decimal forms. Write down the decimal forms of rational numbers.
Real life uses :

Marks in an exam are rational numbers.

Practical examples around us
Examples Explainations
Average of a class is 66.666…. write the average in rational form. 66.666… is 200/3 in rational form.
What you learn in Theory:

Rational numbers decimal notation.

What you learn in Practice:

What form of denominator in a rational number exists when the decimal number is recurring decimal or terminating decimal?

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