Question

Find the value of n in each equation. Then name the property that is used.

$1=2n$

Short answer

The required value is $n=\frac{1}{2}$. The name of the property is multiplicative inverse property.

Step-by-step solution

Step 1. Divide both the sides by 2.

$\begin{array}{l}1=2n\\ \frac{1}{2}=\frac{2n}{2}\\ n=\frac{1}{2}\end{array}$

Hence, the value of $n=\frac{1}{2}$.

Step 2. Multiplicative inverse property.

The multiplicative inverse property says that for a given number x, that is not equal to zero, the multiplicative inverse will be 1 over x.

Step 3. Identify the property.

Hence, the required property is multiplicative inverse property.