Sifat Komutatif (Pertukaran)
Sifat komutatif pada penjumlahan
\(\bbox[yellow, 5pt] {a + b = b + a}\)
Contoh:
- \(8 + 9 = 9 + 8\)
- \(10 + 15 = 15 + 10\)
- \(25 + 21 = 21 + 25\)
Sifat komutatif pada perkalian
\(\bbox[yellow, 5pt] {a \times b = b \times a}\)
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
\(\bbox[yellow, 5pt] {(a + b) + c = a + (b + c)}\)
Contoh:
- \((2 + 3) + 5 = 2 + (3 + 5)\)
- \((10 + 4) + 11 = 10 + (4 + 11)\)
- \(5 + (12 + 18) = (5 + 12) + 18\)
Sifat asosiatif pada perkalian
\(\bbox[yellow, 5pt] {(a \times b)\times c = a \times (b \times c)}\)
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)
\(\bbox[yellow, 5pt]{a \times (b + c) = (a\times b) + (a \times c)}\)
Contoh:
- \(5\times (2 + 3) = (5\times 2) + (5 \times 3)\)
- \(8\times (5 + 7) = (8 \times 5) + (8 \times 7)\)
- \(12\times (10 + 11) = (12 \times 10) + (12 \times 11)\)