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Operation Of Algebraic Form
I. Operation Of Addition and Subtraction
The Properties of Addition Operation
 a) Commutative : a + b = b + a
 b) Distributive :
i) a b + a c = a( b + c )
ii) a b – a c = a ( b – c )
 c) Associative
a + b + c = ( a + b ) + c = a + ( b + c ) = ( a + c ) + b
Examples

solution
 a. (3a- 2 ) + ( 7a + 6) = (3a + 7a) + ( -2 +6)
= 10 a + 4
Vertical method :
3a - 2
7a + 6 +
------------
10a + 4
Find others solutions

c. 2a + 3b and 3a- 2b
d. 5m -7n + 4 and 2m+3n -9
2. Subtract

Solution
 a. 4b- 7 from 5b + 2
 ( 5b + 2 ) – (4b- 7) = (5b- 4b) + (2-(-7) )
= b + 9
Vertical method
5b + 2
4b – 7 –
_______
b + 9
Find The Others solutions !
 Who would like to try to fin solution ?
I have to be a success student
II. Multiplication

Exercises ( do by discuss)

Remember
 Be a student so long as you still have
something to learn, and this will mean all
your life. ~Henry L. Doherty (“Jadilah
penuntut ilmu selama kau masih memiliki
sesuatu untuk dipelajari, dan hal ini akan
menjadi tujuan seluruh hidupmu”)
 I am learning all the time. The tombstone
will be my diploma. ~Eartha Kitt
(“Aku belajar setiap waktu. Batu nisan akan
menjadi ijazahku”.)
About “Sukses” dan “Gagal”
Operation  of multiplications of algebraic forms

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Operation of multiplications of algebraic forms

  • 2.
  • 3. I. Operation Of Addition and Subtraction The Properties of Addition Operation  a) Commutative : a + b = b + a  b) Distributive : i) a b + a c = a( b + c ) ii) a b – a c = a ( b – c )  c) Associative a + b + c = ( a + b ) + c = a + ( b + c ) = ( a + c ) + b
  • 5. solution  a. (3a- 2 ) + ( 7a + 6) = (3a + 7a) + ( -2 +6) = 10 a + 4 Vertical method : 3a - 2 7a + 6 + ------------ 10a + 4
  • 7. c. 2a + 3b and 3a- 2b
  • 8. d. 5m -7n + 4 and 2m+3n -9
  • 9.
  • 11. Solution  a. 4b- 7 from 5b + 2  ( 5b + 2 ) – (4b- 7) = (5b- 4b) + (2-(-7) ) = b + 9 Vertical method 5b + 2 4b – 7 – _______ b + 9
  • 12. Find The Others solutions !  Who would like to try to fin solution ?
  • 13. I have to be a success student
  • 15. Exercises ( do by discuss) 
  • 16. Remember  Be a student so long as you still have something to learn, and this will mean all your life. ~Henry L. Doherty (“Jadilah penuntut ilmu selama kau masih memiliki sesuatu untuk dipelajari, dan hal ini akan menjadi tujuan seluruh hidupmu”)  I am learning all the time. The tombstone will be my diploma. ~Eartha Kitt (“Aku belajar setiap waktu. Batu nisan akan menjadi ijazahku”.)
  • 17. About “Sukses” dan “Gagal”