Ans. Real numbers exhibit several important properties, including the commutative property (a + b = b + a and ab = ba), associative property ((a + b) + c = a + (b + c) and (ab)c = a(bc)), distributive property (a(b + c) = ab + ac), identity property (a + 0 = a and a × 1 = a), and inverse property (a + (-a) = 0 and a × (1/a) = 1 for a ≠ 0). These properties are essential for simplifying expressions and solving equations involving real numbers.