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Simplify the expression |ab| for each scenario a<0 and b>0

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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.

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