1. 3(1+4)=(3X1)+(3X4)

Would this be Distributive Property

yes, the X represents multiplication.

so
3(1+4)=3(1)+3(4)
is distributive property of multiplication over addition.

Thanks for your help. Have a good night.

Yes, this is an example of the Distributive Property. The Distributive Property states that for any numbers a, b, and c, the product of a number and the sum of two other numbers is equal to the sum of the products of the number and each of the numbers being added.

To demonstrate this, let's break down the expression 3(1+4) step by step:

First, we have 1+4 inside the parentheses. By adding these two numbers, we get 5. So now the expression becomes 3(5).

Next, we apply the Distributive Property by multiplying 3 with each term inside the parentheses. This gives us 3 multiplied by 5, which is equal to 15.

So, 3(1+4) simplifies to 15, confirming the Distributive Property.