Let's match each problem with its correct sum or difference by solving them step-by-step.
1. For the expression [tex]\( -27 + 19 \)[/tex]:
We start with -27 and add 19 to it. The result of this operation is:
[tex]\[
-27 + 19 = -8
\][/tex]
So, [tex]\( -27 + 19 \)[/tex] equals [tex]\(-8\)[/tex].
2. For the expression [tex]\( 6 + 12 \)[/tex]:
We start with 6 and add 12 to it. The result of this operation is:
[tex]\[
6 + 12 = 18
\][/tex]
So, [tex]\( 6 + 12 \)[/tex] equals [tex]\( 18 \)[/tex].
3. For the expression [tex]\( -78 - 36 \)[/tex]:
We start with -78 and subtract 36 from it. The result of this operation is:
[tex]\[
-78 - 36 = -114
\][/tex]
So, [tex]\( -78 - 36 \)[/tex] equals [tex]\(-114\)[/tex].
4. For the expression [tex]\( 46 - 9 \)[/tex]:
We start with 46 and subtract 9 from it. The result of this operation is:
[tex]\[
46 - 9 = 37
\][/tex]
So, [tex]\( 46 - 9 \)[/tex] equals [tex]\( 37 \)[/tex].
Now, we can match each problem with its correct sum or difference:
- [tex]\( -27 + 19 = -8 \)[/tex]
- [tex]\( 6 + 12 = 18 \)[/tex]
- [tex]\( -78 - 36 = -114 \)[/tex]
- [tex]\( 46 - 9 = 37 \)[/tex]
In the given list, it should look like this:
[tex]\[
-27+19 = -8
\][/tex]
[tex]\[
6+12 = 18
\][/tex]
[tex]\[
-78-36 = -114
\][/tex]
[tex]\[
46-9 = 37
\][/tex]
So the correct matches are:
[tex]\[
-27+19 = -8
\][/tex]
[tex]\[
6+12 = 18
\][/tex]
[tex]\[
-78-36 = -114
\][/tex]
[tex]\[
46-9 = 37
\][/tex]
