Answer :

We are given two signed decimal addition problems.

1. First, compute
[tex]\[
-4.53 + (-5.34).
\][/tex]
Since both numbers are negative, adding them means that we add their absolute values and then take the negative of the sum. First, add the absolute values:
[tex]\[
4.53 + 5.34 = 9.87.
\][/tex]
Thus, the result is
[tex]\[
-9.87.
\][/tex]

2. Next, compute
[tex]\[
-4.7 + 38.5.
\][/tex]
Here, one number is negative and the other is positive. This is equivalent to subtracting the smaller absolute value from the larger one and giving the sign of the number with the larger absolute value:
[tex]\[
38.5 - 4.7 = 33.8.
\][/tex]
Since [tex]$38.5$[/tex] is positive and larger in absolute value, the result is
[tex]\[
33.8.
\][/tex]

In summary, the solutions are:
[tex]\[
-4.53 + (-5.34) = -9.87
\][/tex]
and
[tex]\[
-4.7 + 38.5 = 33.8.
\][/tex]

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