Chapter 8.5, Problem 48CCR

To determine

To simplify the expression $0.2p+0.5\left(2p+7\right)$

Answer to Problem 48CCR

  $1.2p+0.35$

Explanation of Solution

Given information:

The expression, $0.2p+0.5\left(2p+7\right)$

Concept used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Calculation:

In order to simplify the given expression, by add the like terms as shown below

  $\begin{array}{c}0.2p+0.5\left(2p+7\right)\\ =0.2p+0.5\cdot 2p+0.5\cdot 7\\ =0.2p+1.0p+0.35\\ =1.2p+0.35\end{array}$

Thus, the given expression simplifies to $1.2p+0.35$