When writing an expression, is it correct to write 15,000 - 583.33x or -583.33(x) + 15,000?

I have seen both but I have a friend who insists one is the correct one.

This is the same expression becouse:

- 583.33 (x) + 15,000 = - 583.33 ∙ x + 15,000 =

- 583.33 x + 15,000 = 15,000 - 583.33 x

but it is usually written - 583.33 x + 15,000

The first part of the expression with x then the number.

Both expressions are correct, but they represent slightly different ways of writing the same mathematical expression. The difference lies in how the multiplication is indicated.

In the expression "15,000 - 583.33x," the multiplication is implied between the number 583.33 and the variable x. This is a common convention in mathematical notation. It assumes that when a number and a variable are written side by side, it means to multiply them together. So, in this case, the expression can be interpreted as "15,000 minus (583.33 times x)."

On the other hand, in the expression "-583.33(x) + 15,000," the multiplication is explicitly indicated by the parentheses. This notation is often used to avoid ambiguity, particularly when there might be confusion about the precedence of operations. In this case, the expression can be interpreted as "negative 583.33 times x, plus 15,000."

When using these expressions, it's important to follow the standard order of operations (PEMDAS/BODMAS) to ensure the correct interpretation of the expression.