Q64. - Algebra 1

Question

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

$4\cdot \frac{1}{4}=n$

Step-by-Step Solution

Answer

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

Step 1. State the property.

The multiplicative inverse property states that for any number $a$, there exists a single number $\frac{1}{a}$ such that the product of $a$ and $\frac{1}{a}$ is $a$.

 

So, $a\cdot \frac{1}{a}=1$.

Step 2. Write the given equation.

The given equation is $4\cdot \frac{1}{4}=n$.

Step 3. Solve the given equation.

Put $a=4$ in $a\cdot \frac{1}{a}=1$ to get,

 

$4\cdot \frac{1}{4}=1$

 

Compare $4\cdot \frac{1}{4}=1$ with $4\cdot \frac{1}{4}=n$ to get,

 

$n=1$

 

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