Question

we just divided both sides of the hanger diagram by 2 to find the value of 1 group x + 4. record what you are dividing both sides by in the equation. 18 over a square equals 2(x + 4) over a square. (with hanger diagram showing two 9s, two xs, and two 4s)

Explanation:

Step1: Analyze the hanger and equation

The left side of the hanger has two 9s, so total is \( 9 + 9 = 18 \). The right side has two groups of \( x + 4 \), so it's \( 2(x + 4) \). To find the value of one group \( x + 4 \), we divide both sides by 2.

Step2: Determine the divisor

When we divide both sides of the equation \( 18 = 2(x + 4) \) by 2, we get \( \frac{18}{2}=\frac{2(x + 4)}{2} \). So the number we are dividing both sides by is 2.

Answer:

Both boxes should be filled with 2. So the equation becomes \( \frac{18}{2}=\frac{2(x + 4)}{2} \).