Q15. - Algebra 2

Question

Name the property illustrated by each equation or statement.

 

$\left(\mathbf{3}·\frac{\mathbf{1}}{\mathbf{3}}\right)·\mathbf{7}\mathbf{=}\left(\mathbf{3}·\frac{\mathbf{1}}{\mathbf{3}}\right)·\mathbf{7}$

Step-by-Step Solution

Answer

Property illustrated in the statement is reflexive property of equality.

Step 1 – Reflexive property.

For any real number $p$, $p=p$

Step 2 – Description of step.

Apply reflexive property of equality to $\left(3·\frac{1}{3}\right)·7$.

 

$\left(3·\frac{1}{3}\right)·7=\left(3·\frac{1}{3}\right)·7$

Step 3 – Description of step.

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

 

Therefore, reflexive property of equality is illustrated in the given statement.