Q72. - Algebra 1

Question

Evaluate the following expression:

$\mathbf{12}\left(7+2\right)$

Step-by-Step Solution

Answer

The value of the expression $12\left(7+2\right)$ is 108.

Step 1. Given information.

The expression is $12\left(7+2\right)$.

Step 2. Write the Distributive property.

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

$a\left(b+c\right)=ab+ac$

Here $a, b$ and $c$ are real numbers.

Step 3. Rewrite the expression.

The expression $12\left(7+2\right)$ can be written using the distributive property as below:

$12\left(7+2\right)=12\times 7+12\times 2$

Step 4. Evaluate the expression.

The value of the expression $12\left(7+2\right)$ is:

$\begin{array}{l}12\left(7+2\right)=12\times 7+12\times 2\\ =84+24\\ =108\end{array}$