Q13. - Algebra 2

Question

Name the property illustrated by each equation or statement.

 

$\left(\mathbf{7}·\mathbf{s}\right)·\mathbf{t}\mathbf{=}\mathbf{7}·\left(\mathbf{s}·\mathbf{t}\right)$

Step-by-Step Solution

Answer

Property illustrated in the statement is associative property of multiplication.

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 $\left(7·s\right)·t$.

 

$\left(7·s\right)·t=7·\left(s·t\right)$

Step 3 – Description of step.

From step 1 and step 2, it can be concluded that the property illustrated in the given statement is associative property of multiplication.

 

Therefore, associative property of multiplication is illustrated in the given statement.