Final answer:
When a < 0 and b > 0, the expression |ab| simplifies to -a*b.
Step-by-step explanation:
The absolute value of a real number x, denoted as ∣x∣, is the non-negative value of x without regard to its sign. Geometrically, it represents the distance of
x from the origin (0) on the number line.
he expression |ab| represents the absolute value of the product of a and b. When a < 0 and b > 0, we can break down the expression to |-a|*|b|. Since a < 0, |-a| = -a. Since b > 0, |b| = b. So the expression simplifies to -a*b. For example, if a = -3 and b = 5, then |-3*5| = |-15| = 15.