SIFAT-SIFAT OPERASI PENJUMLAHAN DAN PERKALIAN PADA BILANGAN CACAH - 1 May 2011 - sdnpurwaraja4.do.am
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Main » 2011 » May » 1 » SIFAT-SIFAT OPERASI PENJUMLAHAN DAN PERKALIAN PADA BILANGAN CACAH
11:49 AM
SIFAT-SIFAT OPERASI PENJUMLAHAN DAN PERKALIAN PADA BILANGAN CACAH


Penjumlahan

1.       Sifat Komutatif (Pertukaran) Pada Penjumlahan

Hasil penjumlahan dari dua buah bilangan cacah tidak akan berubah, walaupun urutan letak kedua bilangan dipertukarkan.

Cotoh : 64 + 26 = 26 + 64

a + b = b + a, untuk semua bilangan cacah yang diwakili oleh a dan b

 

2.       Sifat Asosiatif (Pengelompokan) Pada Penjumlahan

Hasil penjumlahan tiga buah bilangan cacah tidah berubah, meskipun pengelompokkannya berbeda.

Cotoh : (2 + 5) + 6  = 2 +(5 + 6)

Jika a, b, dan c adalah sembarang bilangan cacah maka

(a + b)+c = a +(b + c )

 

3.       Sifat Penjumlahan Bilangan Nol

Bilangan nol disebut unsur (elemen) identitas atau elemen netral atau modulus untuk penjumlahan. Artinya, semua bilangan jika dijumlahkan dengan nol akan menghasilkan bilangan itu sendiri.

Cotoh : 2 + 0 = 2

a + 0 = a, untuk semua bilangan cacah yang diwakili oleh a

 

Perkalian

1.       Sifat Komutatif (Pertukaran) Pada Perkalian

Hasil perkalian dua buah bilangan cacah tidak akan berubah, walaupun urutan letak kedua bilangan dipertukarkan.

Cotoh : 4 x 3 = 3 x 4

a x b = b x a, untuk semua bilangan cacah yang diwakili oleh a dan b

 

2.       Sifat Asosiatif (Pengelompokan) Pada Penjumlahan

Hasil perkalian tiga buah bilangan cacah tidah berubah, meskipun pengelompokkannya berbeda.

Cotoh : (2 x4) x 5  = 2 x(4 x 5)

Jika a, b, dan c adalah sembarang bilangan cacah maka

(a x b) x c = a x (b x c )

 

3.       Sifat Perkalian Bilangan Satu

Bilangan satu disebut unsur (elemen) identitas atau elemen netral atau modulus untuk perkalian. Artinya, semua bilangan jika dikalikan dengan satu akan menghasilkan bilangan itu sendiri.

Cotoh : 6 x 1 = 6

a x 1 = a, untuk semua bilangan cacah yang diwakili oleh a

 

4.       Sifat Distributif (Penyebaran)

Contoh :

4 x (5 + 2) = (4 x 5) + (4 x 2)

Jika a, b, dan c adalah sembarang bilangan cacah maka  

a x (b + c) = (a x b) + (a x c)

 

Semoga bermanfaat….!!

Views: 6758 | Added by: zerryx | Tags: Sifat-sifat Operasi, Operasi Perkalian, Bilangan, Matematika Dasar, Operasi Penjumlahan | Rating: 2.5/4
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