Question

fill in the parts-whole model for the following equation.
$(6z + 3) - (6z) = (\\_\\_\\_\\_\\_)$

Explanation:

Step1: Simplify the left - hand side

We have the expression \((6z + 3)-(6z)\). Using the distributive property of subtraction \(a-(b + c)=a - b - c\) (here \(a = 6z+3\), \(b = 6z\), \(c = 0\)), we can rewrite it as \(6z+3 - 6z\).

Step2: Combine like terms

The \(6z\) and \(- 6z\) are like terms. When we combine \(6z-6z\), we get \(0\). Then we have \(0 + 3\).

Answer:

The value of the expression \((6z + 3)-(6z)\) is \(3\). For the parts - whole model:

• The whole (the top rectangle) is \(6z + 3\).
• The two parts (the bottom two rectangles) are \(6z\) and \(3\). And the result of \((6z + 3)-(6z)\) is \(3\).