1. WELCOME TO THE HIGHER MATHEMATICS CLASS
SHIPAN CHANDRA DEBNATH ASSISTANT PROFESSOR & HEAD OF THE DEPARTMENT DEPARTMENT OF MATHEMATICS CHITTAGONG CANTONMENT PUBLIC COLLEGE

2. REAL NUMBER Chapter - 1 Exercise -1(A) PAGE- Book: Higher Mathematics
AKKHOR POTRA PROKASHONI

3. Learning Outcomes After complete this chapter students can
Explain Axioms of Real Numbers.
2. Explain Absolute value

4. Real number satisfies the following axioms
For Addition
A1: Closure Property: If a,b €R then a+b € R
A2: Uniqueness: If a,b,c,d € R and a=b,c=d then a+c=b+d
A3: Commutative Law: If a,b € R then a+b=b+a
A4;Associative Law: If a,b,c € R then (a+b)+c=a+(b+c)=a+b+c
A5:Law of Identity: If a,0 € R then a+0=0+a=a
A6:Law of Inverse: If a € R then –a € R sothat a+(-a)=-a+a=0
A7:Distributive Law: If a,b,c € R then a(b+c)=ab+ac

5. For Multiplication
M1: Closure Property: If a,b €R then ab € R
M2: Uniqueness: If a,b,c,d € R and a=b,c=d then ac=bd
M3: Commutative Law: If a,b € R then ab=ba
M4;Associative Law: If a,b,c € R then (ab)c=a(bc)=abc
M5:Law of Identity: If a,1 € R then a.1=1.a=a
M6:Law of Inverse: If a € R,a then a-1 € R sothat a.a-1=a-1a=1
M7:Distributive Law: If a,b,c € R then a(b+c)=ab+ac

6. Properties of Absolute value:

7. Apprise
What is Natural number?
What is the Rational number set?
Find value of

8. HOME TASK

9. THANKS TO ALL
PYTHAGORUS, FATHER OF REAL NUMBER