Chapter 0.4, Problem 26E

To determine

To calculate: The simplified form of $-1.6+\left(-3.8\right)$ .

Answer to Problem 26E

The simplified form of $-1.6+\left(-3.8\right)$ is $-5.4$ .

Explanation of Solution

Given information:

The statement “ $-1.6+\left(-3.8\right)$ .”

Formula used:

When two negative numbers are added their absolute value is added first and negative sign is put in front of it.

Consider the provided statement “ $-1.6+\left(-3.8\right)$ .”

Recall that when two negative numbers are added their absolute value is added first and negative sign is put in front of it.

So, the given expression can be simplified as,

  $\begin{array}{c}-1.6+\left(-3.8\right)=-1.6-3.8\\ -1.6+\left(-3.8\right)=-\left(1.6+3.8\right)\\ -1.6+\left(-3.8\right)=-\left(5.4\right)\\ -1.6+\left(-3.8\right)=-5.4\end{array}$

Hence, the simplified form of $-1.6+\left(-3.8\right)$ is $-5.4$ .