Can someone tell me what property this is?

5(1) = 5

The answer is here:

http://www.coolmath.com/prealgebra/06-properties/08-properties-multiplicative-identity-01

The property demonstrated in the equation 5(1) = 5 is known as the multiplication property of equality. According to this property, if two quantities are equal, then multiplying both sides of the equation by the same number will still yield equality. In this case, both sides are multiplied by 1, resulting in the equation 5 = 5.

The property shown in the equation 5(1) = 5 is called the distributive property.

To explain how this property works, let's break down the equation:

On the left side of the equation, we have 5 multiplied by 1, which is equal to 5. This is a simple multiplication.

On the right side of the equation, we have 5.

The distributive property states that when we multiply a number by a group of numbers in parentheses, we can distribute or multiply the number to each term inside the parentheses.

In this case, we have 5 multiplied by 1, which is 5.

To use the distributive property more explicitly, let's consider an example where we multiply 5 by a group of numbers inside parentheses:

5(2 + 3)

To apply the distributive property, we can distribute or multiply 5 to each term inside the parentheses:

5(2) + 5(3)

This simplifies to:

10 + 15 = 25

So, the distributive property allows us to simplify expressions by distributing or multiplying a number to each term inside parentheses.