Q77. - Algebra 1

Question

Evaluate the following expression:

$16\left(5+7\right)$

Step-by-Step Solution

Answer

The value of the expression $16\left(5+7\right)$ is 192.

Step 1. Given information.

The expression is $16\left(5+7\right)$.

Step 2. Write the Distributive property.

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

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

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

Step 3. Rewrite the expression.

The expression $16\left(5+7\right)$ can be written using the distributive property as in below:

$16\left(5+7\right)=16\times 5+16\times 7$

Step 4. Evaluate the expression.

The value of the expression $16\left(5+7\right)$ is:

$\begin{array}{l}16\left(5+7\right)=16\times 5+16\times 7\\ =80+112\\ =192\end{array}$