Algebraic Expressions:
Algebraic expressions are mathematical expressions that contain variables, numbers, and operation symbols such as addition, subtraction, multiplication, and division. These expressions are used to represent relationships, solve problems, and simplify mathematical equations. In this case, we are given the expression "Five times the product of x and y divided by z."

Breaking down the expression:
Let's break down the given expression into smaller parts to understand it better:

- Product of x and y: This refers to multiplying the values of x and y together. For example, if x = 2 and y = 3, the product of x and y would be 2 * 3 = 6.

- Five times the product of x and y: This means multiplying the product of x and y by 5. Using the previous example, if the product of x and y is 6, then five times the product would be 5 * 6 = 30.

- Divided by z: This means dividing the previous result by the value of z. For example, if z = 2, then dividing 30 by 2 would give us 30 / 2 = 15.

Therefore, the given expression "Five times the product of x and y divided by z" can be represented mathematically as (x * y * 5) / z.

Example:
Let's say we have the values x = 4, y = 2, and z = 3. We can substitute these values into the expression to find its value:

(x * y * 5) / z = (4 * 2 * 5) / 3 = (40) / 3 ≈ 13.333

So, when x = 4, y = 2, and z = 3, the value of the algebraic expression is approximately 13.333.

In summary, the given expression "Five times the product of x and y divided by z" represents the multiplication of x and y by 5, followed by division by z. The expression can be simplified as (x * y * 5) / z. By substituting values for x, y, and z, we can evaluate the expression to find its numerical value.

5 x (X Y) - Z =