To determine which choice best shows the Distributive Property, let's begin by recalling what the Distributive Property states:
The Distributive Property in mathematics indicates how multiplication interacts with addition and subtraction within an expression. It is represented as:
[tex]\[ a(b + c) = ab + ac \][/tex]
Now, let's evaluate each given option to identify which one aligns with this property:
1. [tex]\( 0 \times 13 = 0 \)[/tex]: This simply uses the property of zero in multiplication, which isn't related to the Distributive Property.
2. [tex]\( 1 \times 6 = 6 \)[/tex]: This demonstrates the identity property of multiplication, not the Distributive Property.
3. None of these answers show the Distributive Property.
4. [tex]\( 6 \times 10 = 10 \times 6 \)[/tex]: This shows the commutative property of multiplication, not the Distributive Property.
5. [tex]\( 5 \times (13 + 4) = (5 \times 13) \times (5 \times 4) \)[/tex]: This option attempts to represent the Distributive Property but does so incorrectly. The correct application of the Distributive Property should be:
[tex]\[ 5 \times (13 + 4) = (5 \times 13) + (5 \times 4) \][/tex]
Thus, the correct assessment is that none of the provided choices correctly exhibit the Distributive Property. The correct answer is:
[tex]\[ \boxed{\text{None of these answers show the Distributive Property.}} \][/tex]
