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------------------------------------------------ Calculate the following:

a) [tex]-99 + 100[/tex]

b) [tex]-20 + 17[/tex]

c) [tex]82 + (-89) + 8[/tex]

d) [tex]-114 + 114[/tex]

Answer :

Let's solve each part of the question step by step:

a) [tex]\(-99 + 100\)[/tex]
- Start with [tex]\(-99\)[/tex].
- Add [tex]\(100\)[/tex].
- [tex]\(-99 + 100 = 1\)[/tex].

b) [tex]\(-20 + 17\)[/tex]
- Start with [tex]\(-20\)[/tex].
- Add [tex]\(17\)[/tex].
- [tex]\(-20 + 17 = -3\)[/tex].

c) [tex]\(82 + (-89) + 8\)[/tex]
- Start with [tex]\(82\)[/tex].
- Add [tex]\(-89\)[/tex], which is the same as subtracting [tex]\(89\)[/tex].
- [tex]\(82 - 89 = -7\)[/tex].
- Now, add [tex]\(8\)[/tex] to [tex]\(-7\)[/tex].
- [tex]\(-7 + 8 = 1\)[/tex].

d) [tex]\(-114 + 114\)[/tex]
- Start with [tex]\(-114\)[/tex].
- Add [tex]\(114\)[/tex].
- [tex]\(-114 + 114 = 0\)[/tex].

So, the solutions are:
a) [tex]\(1\)[/tex], b) [tex]\(-3\)[/tex], c) [tex]\(1\)[/tex], d) [tex]\(0\)[/tex].

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