Q3. - Algebra 2

Question

Choose the term from the list above that best matches each example.

3. $\left(\mathbf{m}\mathbf{-}\mathbf{1}\right)\left(\mathbf{-}\mathbf{2}\right)\mathbf{=}\mathbf{-}\mathbf{2}\left(\mathbf{m}\mathbf{-}\mathbf{1}\right)$

Step-by-Step Solution

Answer

Associative property

Step 1 – Associative property of multiplication.

For any real numbers $p,q,$ and r, $\left(p·q\right)·r=p·\left(q·r\right)$.

Step 2 – Description of step.

Apply associative property to $\left(m-1\right)·\left(-2\right)$.

$\left(m-1\right)\left(-2\right)=-2\left(m-1\right)$

Step 3 – Description of step.

By observing the given example, that is, $\left(m-1\right)\left(-2\right)=-2\left(m-1\right)$ and the list it can be concluded that the term ‘associative property’ best matches the given example.