Q76. - Algebra 1

Question

Evaluate the following expression:

$\left(1+19\right)\cdot 8$

Step-by-Step Solution

Answer

The value of the expression $\left(1+19\right)\cdot 8$ is 160.

Step 1. Given information.

The expression is $\left(1+19\right)\cdot 8$.

Step 2. Write the Distributive property.

The distributive law of multiplication over addition or subtraction is given in 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 $\left(1+19\right)\cdot 8$ can be written using the distributive property as in below:

$\left(1+19\right)\cdot 8=1\cdot 8+19\cdot 8$

Step 4. Evaluate the expression.

The value of the expression $\left(1+19\right)\cdot 8$ is:

$\begin{array}{l}\left(1+19\right)\cdot 8=1\cdot 8+19\cdot 8\\ =8+152\\ =160\end{array}$