Question

question
enter the missing values in the area model to find ( 10(5s - 6) )
answer
according to the model above, ( 10(5s - 6)=)

Explanation:

Step1: Identify the first missing term

The area model is used to distribute the multiplication. The first part of the binomial is \(5s\), and when multiplied by 10 (the height of the rectangle), we already have \(50s\) (which matches the given \(50s\) in the first box). The top left missing term should be \(5s\) because the length of the first rectangle is \(5s\) (since \(10\times5s = 50s\)).

Step2: Calculate the second missing area

The second part of the binomial is \(-6\), and we multiply it by 10 (the height). So, \(10\times(-6)= - 60\). This is the area of the second rectangle.

Step3: Expand the expression

Using the distributive property (also known as the area model expansion), \(10(5s - 6)=10\times5s+10\times(-6)\). We know \(10\times5s = 50s\) and \(10\times(-6)=-60\), so combining these, we get \(50s-60\).

Answer:

\(50s - 60\) (and the missing values in the area model: top left is \(5s\), the area of the second rectangle is \(-60\))