Question

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

$25n=25$

Short answer

The value of $n$ is $1$. The property used is multiplicative identity property.

Step-by-step solution

Step 1. State the property.

The multiplicative identity property states that for any number $a$, the product of $a$and $1$is $a$.

So, $a\cdot 1=a$.

Step 2. Write the given equation.

The given equation is $25n=25$.

Step 3. Solve the given equation.

Put $a=25$in $a\cdot 1=a$to get,

$25\cdot 1=25$

Compare $25\cdot 1=25$with $25n=25$to get,

$n=1$

So, the solution of the given equation is $n=1$and the property used is the multiplicative identity property.