This document discusses properties of operations with integers. It describes the commutative property for addition and multiplication, where the order of operands does not change the result. The associative property is explained for addition and multiplication, where operations inside parentheses are performed first. Finally, the distributive property is covered, where multiplication distributes over addition and subtraction, such that operations inside parentheses are performed first. Examples are provided to demonstrate each property.

1. SIFAT-SIFAT OPERASI
BILANGAN BULAT
Supriyadi, S.Pd. Gr

2. SIFAT KOMUTATIF (PERTUKARAN)
PENJUMLAHAN
• DITULIS :
A + B = B + A
• Contoh :
7 + 5 = 5 + 7
7 + 5 = 12
5 + 7 = 12
PERKALIAN
• DITULIS :
A x B = B x A
• Contoh :
7 x 5 = 5 x 7
7 x 5 = 35
5 x 7 = 35
} HASIL NYA SAMA
} HASIL NYA SAMA

3. SIFAT ASOSIATIF (PENGELOMPOKKAN)
PENJUMLAHAN
• DITULIS :
(A + B) + C = A + (B + C)
kerjakan yang didalam kurung
dahulu
• Contoh :
(2 + 3) + 4 = 2 + (3 + 4)
(2 + 3) + 4 = 5 + 4 = 9
2 + (3 + 4) = 2 + 7 = 9
PERKALIAN
• DITULIS :
(A x B) x C = A x (B x C)
kerjakan yang didalam kurung
dahulu
• Contoh :
(2 x 3) x 4 = 2 x (3 x 4)
(2 x 3) x 4 = 6 x 4 = 24
2 x (3 x 4) = 2 x 12 = 24
} HASIL NYA SAMA
} HASIL NYA SAMA

4. SIFAT DISTRIBUTIF (PENYEBARAN)
PERKALIAN TERHADAP
PENJUMLAHAN
• DITULIS :
A x (B + C) = (A x B) + ( A x C)
kerjakan yang didalam kurung
dahulu
• Contoh :
4 x (2 + 1) = (4 x 2) + (4 x 1)
4 x (2 + 1) = 4 x 3 = 12
(4 x 2) + (4 x 1) = 8 + 4 = 12
PERKALIAN TERHADAP
PENGURANGAN
• DITULIS :
A x (B - C) = (A x B) - ( A x C)
kerjakan yang didalam kurung
dahulu
• Contoh :
4 x (2 - 1) = (4 x 2) - (4 x 1)
4 x (2 - 1) = 4 x 1 = 4
(4 x 2) - (4 x 1) = 8 - 4 = 4
}
HASIL NYA SAMA
}HASIL NYA SAMA