Q74. - Algebra 1

Question

Evaluate the following expression:

$\left(13-9\right)\cdot 4$

Step-by-Step Solution

Answer

The value of the expression $\left(13-9\right)\cdot 4$ is 16.

Step 1. Given information.

The expression is $\left(13-9\right)\cdot 4$.

Step 2. Write the Distributive property.

The distributive law of multiplication over addition or subtraction is given below.

$ba\pm ca=\left(b\pm c\right)a$

Here $a, b$ and $c$ are real numbers.

Step 3. Rewrite the expression.

The expression $\left(13-9\right)\cdot 4$ can be written using the distributive property as below.

$\left(13-9\right)\cdot 4=13\cdot 4-9\cdot 4$

Step 4. Evaluate the expression.

The value of the expression $\left(13-9\right)\cdot 4$ is:

$\begin{array}{l}\left(13-9\right)\cdot 4=13\cdot 4-9\cdot 4\\ =52-36\\ =16\end{array}$