Final answer:
The property illustrated by the statement 3(x⋅1)=3x is the distributive property.
Step-by-step explanation:
The property illustrated by the statement 3(x⋅1)=3x is the distributive property.
The distributive property states that when you multiply a number by the sum or difference of two numbers, you can multiply the number by each of the numbers and then add or subtract the results.
In this case, using the distributive property, we can distribute the 3 to both x and 1, resulting in 3x + 3(1) which simplifies to 3x + 3. Therefore, the property illustrated is the distributive property.