Marcel made an error when he used the distributive property to solve the problem shown. Which sentence describes the error?

Marcel made an error when he used the distributive property to solve the problem shown Which sentence describes the error class=

Respuesta :

The answer to this is step 2 because they multiplied when they should of subtracted the 10 and the 12.

Answer:

In Step 2, 90 should be multiplied by the quantity 10 – 12, not by 10.

Step-by-step explanation:

Consider the provided expression.

[tex]90\cdot x-90\cdot 12[/tex] when x=10

Solve the above expression as shown:

Step 1:

[tex]90\cdot x-90\cdot 12=90(x-12)[/tex]

Step 2: Substitute x=10.

[tex]90\cdot x-90\cdot 12=90(10-12)[/tex]

Step 3: Open the parenthesis.

[tex]90\cdot x-90\cdot 12=900-1080[/tex]

Step 4: Simplify

[tex]90\cdot x-90\cdot 12=-180[/tex]

From the above calculation we can say that the error is:

In Step 2, 90 should be multiplied by the quantity 10 – 12, not by 10.