2. THE NATIONAL ANTHEM
Jana GanaManaAdhinayaka Jaya He
BharataBhagyaVidhata
Punjab SindhuGujarata Maratha
DravidaUtkalaBanga
Vindhya Himachala Yamuna Ganga
UchchalaJaladhi Taranga
TavaSubha Name Jage
TavaSubhaAsisa Mage,
GaheTava Jaya Gatha
Jana GanaMangalaDayaka Jaya He
BharataBhagyaVidhata
Jaya He Jaya He Jaya He
Jaya JayaJayaJaya He.
3. PLEDGE
India is my country .All Indians are my brothers and sisters .
I love my country ,and I am proud of its rich and varied heritage.I Shall
always strive to be worthy of it.
I shall give respect to my parents ,teachers and all elders and treat
everyone with courtesy .
I pledge my devotion to my country and my people . In their well –being
and prosperity alone lies my happiness.
4. Dear Children,
You have already learnt about numbers . This book will tell you more of these .
Also some new kind of numbers .
Let this book be of help.
The problems that you may face in your daily life ,Pay heed to teachers ,keep a keen eye around .
Be ready to test everything .
Laugh and play with all your heart.
And learn a bit of math.
Through this little book.
With love,
Saleena.s
Teacher Trainee
K U C T E,Kollam
5. INDEX
1. INTRODUCTION ……………………………………………………. 1
2. IRRATIONAL NUMBER …………………………………………… 5
3. REAL NUMBERS ON THERE DECIMAL EXPANSIONS ……….. 8
4. REPRESENTING REAL NUMBERS ON NUMBER LINE ……….. 15
5. OPERATION ON REAL NUMBERS ……………………………….. 18
6. LAW OF EXPONENTS FOR REAL NUMBERS …………………… 24