Sifat Komutatif (Pertukaran)

Sifat komutatif pada penjumlahan

\(\bbox[black, 5pt] {a + b = b + a}\)

Contoh:

• \(8 + 9 = 9 + 8\)
• \(10 + 15 = 15 + 10\)
• \(25 + 21 = 21 + 25\)

Sifat komutatif pada perkalian

\(\bbox[black, 5pt] {a \times b = b \times a}\)

Contoh:

• \(3 \times 5 = 5 \times 3\)
• \(11 \times 4 = 4 \times 11\)
• \(30 \times 12 = 12 \times 30\)

Sifat Asosisatif (Pengelompokan)

Sifat asosiatif pada penjumlahan

\(\bbox[black, 5pt] {(a + b) + c = a + (b + c)}\)

Contoh:

• \((2 + 3) + 5 = 2 + (3 + 5)\)
• \((10 + 4) + 11 = 10 + (4 + 11)\)
• \(5 + (12 + 18) = (5 + 12) + 18\)

Sifat asosiatif pada perkalian

\(\bbox[black, 5pt] {(a \times b)\times c = a \times (b \times c)}\)

Contoh:

• \((2 \times 6)\times 8 = 2 \times (6 \times 8)\)
• \((6 \times 11)\times 7 = 6 \times (11\times 7)\)
• \(12 \times (3 \times 5) = (12 \times 3)\times 5\)

Sifat Distributif (Penyebaran)

\(\bbox[black, 5pt]{a \times (b + c) = (a\times b) + (a \times c)}\)

Contoh:

• \(5\times (2 + 3) = (5\times 2) + (5 \times 3)\)
• \(8\times (5 + 7) = (8 \times 5) + (8 \times 7)\)
• \(12\times (10 + 11) = (12 \times 10) + (12 \times 11)\)