Question

Find the value of $n$. Then name the property used in each step. (Lesson 1-3)

$n+0=\frac{2}{3}$

Short answer

The value of $n$is $\frac{2}{3}$. The property used is additive identity property.

Step-by-step solution

Step 1. State the property.

The additive identity property states that for any number $a$, the sum of $a$and $0$is $a$.

So, $a+0=a$.

Step 2. Write the given equation.

The given equation is $n+0=\frac{2}{3}$.

Step 3. Solve the given equation.

Put $a=\frac{2}{3}$in $a+0=a$to get,

$\frac{2}{3}+0=\frac{2}{3}$

Compare $\frac{2}{3}+0=\frac{2}{3}$with $n+0=\frac{2}{3}$to get,

$n=\frac{2}{3}$

So, the solution of the given equation is $n=\frac{2}{3}$and the property used is the additive identity property.