Answer :

We are asked to compute the following two expressions:

[tex]$$
37.6+(-6.2) \quad \text{and} \quad 2.6-18.43.
$$[/tex]

Let’s go through each step by step.

1. First, consider the addition:

[tex]$$37.6+(-6.2).$$[/tex]

Adding a negative number is equivalent to subtracting its absolute value. Thus, we can view this as:

[tex]$$37.6 - 6.2.$$[/tex]

Subtracting, we obtain:

[tex]$$37.6 - 6.2 = 31.400000000000002.$$[/tex]

2. Next, consider the subtraction:

[tex]$$2.6-18.43.$$[/tex]

Since [tex]$18.43$[/tex] is larger than [tex]$2.6$[/tex], the result will be negative. Performing the subtraction:

[tex]$$2.6 - 18.43 = -15.83.$$[/tex]

Hence, the computed results are:

[tex]$$
\begin{array}{rcl}
37.6+(-6.2) &=& 31.400000000000002,\\[6pt]
2.6-18.43 &=& -15.83.
\end{array}
$$[/tex]

This is the detailed solution for the given problem.

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Rewritten by : Barada