3(4−5)=3×4−3×53(4−5)=3×4−3×5is an example of the ____________________ property of numbers.distributiveassociativecommutative

To identify the correct property in the equation $3(4 - 5) = 3 \times 4 - 3 \times 5$, let's analyze the given options:

1. Distributive Property: This property states that $a(b - c) = ab - ac$. In the equation, the expression $3(4 - 5)$ has been expanded to $3 \times 4 - 3 \times 5$, which is a direct application of the distributive property.

2. Associative Property: This property refers to how numbers are grouped in addition or multiplication, such as $(a + b) + c = a + (b + c)$. This does not apply to the given expression.

3. Commutative Property: This property states that the order in which numbers are added or multiplied does not change the result, e.g., $a + b = b + a$ or $ab = ba$. This is not relevant to the given equation.

Given the analysis, the answer to the question is:

Final Answer

Distributive Property.