Answer :
Sure! Let's find the expression that has the same value as [tex]\(-6.8 + 97.8\)[/tex].
First, calculate the value of [tex]\(-6.8 + 97.8\)[/tex]:
[tex]\[
-6.8 + 97.8 = 91.0
\][/tex]
Now let's evaluate each of the given options to see which expression has the same value.
1. [tex]\(-97.8 - (-6.8)\)[/tex]:
[tex]\[
-97.8 - (-6.8) = -97.8 + 6.8 = -91.0
\][/tex]
This is not equal to [tex]\(91.0\)[/tex].
2. [tex]\(-6.8 - 97.8\)[/tex]:
[tex]\[
-6.8 - 97.8 = -104.6
\][/tex]
This is not equal to [tex]\(91.0\)[/tex].
3. [tex]\(97.8 - (-6.8)\)[/tex]:
[tex]\[
97.8 - (-6.8) = 97.8 + 6.8 = 104.6
\][/tex]
This is not equal to [tex]\(91.0\)[/tex].
4. [tex]\(-6.8 - (-97.8)\)[/tex]:
[tex]\[
-6.8 - (-97.8) = -6.8 + 97.8 = 91.0
\][/tex]
This is equal to [tex]\(91.0\)[/tex].
So, the expression that has the same value as [tex]\(-6.8 + 97.8\)[/tex] is [tex]\(-6.8 - (-97.8)\)[/tex].
First, calculate the value of [tex]\(-6.8 + 97.8\)[/tex]:
[tex]\[
-6.8 + 97.8 = 91.0
\][/tex]
Now let's evaluate each of the given options to see which expression has the same value.
1. [tex]\(-97.8 - (-6.8)\)[/tex]:
[tex]\[
-97.8 - (-6.8) = -97.8 + 6.8 = -91.0
\][/tex]
This is not equal to [tex]\(91.0\)[/tex].
2. [tex]\(-6.8 - 97.8\)[/tex]:
[tex]\[
-6.8 - 97.8 = -104.6
\][/tex]
This is not equal to [tex]\(91.0\)[/tex].
3. [tex]\(97.8 - (-6.8)\)[/tex]:
[tex]\[
97.8 - (-6.8) = 97.8 + 6.8 = 104.6
\][/tex]
This is not equal to [tex]\(91.0\)[/tex].
4. [tex]\(-6.8 - (-97.8)\)[/tex]:
[tex]\[
-6.8 - (-97.8) = -6.8 + 97.8 = 91.0
\][/tex]
This is equal to [tex]\(91.0\)[/tex].
So, the expression that has the same value as [tex]\(-6.8 + 97.8\)[/tex] is [tex]\(-6.8 - (-97.8)\)[/tex].