Question

factor out the coefficient of the variable term.
the expression 0.8w + 3.6 factored is \boxed{}.

Explanation:

Step1: Identify the coefficient of the variable term

The variable term is \(0.8w\), and its coefficient is \(0.8\). We need to factor out \(0.8\) from both terms \(0.8w\) and \(3.6\).

Step2: Divide each term by the coefficient

First, divide \(0.8w\) by \(0.8\): \(\frac{0.8w}{0.8}=w\).
Then, divide \(3.6\) by \(0.8\): \(\frac{3.6}{0.8} = 4.5\).

Step3: Write the factored form

Using the distributive property \(ab + ac=a(b + c)\), where \(a = 0.8\), \(b = w\), and \(c = 4.5\), we get \(0.8(w + 4.5)\).

Answer:

\(0.8(w + 4.5)\)