3•(7+13)=(3•7)+(3•13)

_____ property

Correct

OR
3*20=60

Distributive, maybe?

The expression 3•(7+13) is being compared to the expression (3•7)+(3•13). To determine which property is being used, we need to understand what each expression represents.

The expression 3•(7+13) means that we need to multiply 3 by the sum of 7 and 13. To calculate this expression, we first need to find the sum of 7 and 13, which is 20. Then, we multiply 3 by 20, resulting in 60.

On the other hand, the expression (3•7)+(3•13) means that we need to multiply 3 by 7 and multiply 3 by 13 individually, and then add those two products together. To calculate this expression, we multiply 3 by 7, which equals 21, and multiply 3 by 13, which equals 39. Finally, we add 21 and 39, which also equals 60.

Therefore, the property being used here is the distributive property. According to the distributive property, when we multiply a number by the sum of two other numbers, we can distribute the multiplication to each number in the sum and then add the products together.

In this case, we distributed the multiplication of 3 to both 7 and 13, and then added the individual products together, which resulted in the same value as the first expression.