Answer :

Let's work through each of the problems step-by-step to understand how we reach the given answers.

1. Calculate [tex]\(39.4 + (-7.2)\)[/tex]:

- Start with the number 39.4.
- Adding a negative number is the same as subtracting the positive counterpart of that number. So, we subtract 7.2 from 39.4:

[tex]\[
39.4 - 7.2 = 32.2
\][/tex]

- Therefore, the result of [tex]\(39.4 + (-7.2)\)[/tex] is 32.20 (rounded to two decimal places).

2. Calculate [tex]\(7.9 - 49.35\)[/tex]:

- Start with the number 7.9.
- Subtract 49.35 from 7.9. Since 49.35 is larger, this will result in a negative number:

[tex]\[
7.9 - 49.35 = -41.45
\][/tex]

- Therefore, the result of [tex]\(7.9 - 49.35\)[/tex] is -41.45.

These calculations give us the final answers:

- [tex]\(39.4 + (-7.2) = 32.2\)[/tex]
- [tex]\(7.9 - 49.35 = -41.45\)[/tex]