To simplify \(6(501)\) using the Distributive Property, we can break down 501 into simpler components.
Let's express 501 as \(500 + 1\):
\[ 6(501) = 6(500 + 1) \]
Using the Distributive Property:
\[ 6(501) = 6(500) + 6(1) \]
Calculating both terms:
\[ 6(500) = 3000 \] \[ 6(1) = 6 \]
Adding these results together:
\[ 6(501) = 3000 + 6 = 3006 \]
Thus, the simplified result of \(6(501)\) is \(3006\).
The answer is \(3006\).