Answer :
To simplify the expression [tex]\((-18.2 + 12.5) - |21.3 + 82.9|\)[/tex], let's break it down step-by-step:
1. Simplify the expression inside the parentheses:
[tex]\[
-18.2 + 12.5 = -5.7
\][/tex]
This calculation gives us the result inside the parentheses, which is [tex]\(-5.7\)[/tex].
2. Simplify the expression inside the absolute value:
[tex]\[
21.3 + 82.9 = 104.2
\][/tex]
Here, we add the numbers to get 104.2.
3. Calculate the absolute value:
The absolute value of 104.2 is simply 104.2 since it is already a positive number.
4. Subtract the result of the absolute value from the result inside the parentheses:
[tex]\[
-5.7 - 104.2 = -109.9
\][/tex]
So, the simplified result of the expression is [tex]\(-109.9\)[/tex]. Therefore, the correct answer is:
B) -109.9
1. Simplify the expression inside the parentheses:
[tex]\[
-18.2 + 12.5 = -5.7
\][/tex]
This calculation gives us the result inside the parentheses, which is [tex]\(-5.7\)[/tex].
2. Simplify the expression inside the absolute value:
[tex]\[
21.3 + 82.9 = 104.2
\][/tex]
Here, we add the numbers to get 104.2.
3. Calculate the absolute value:
The absolute value of 104.2 is simply 104.2 since it is already a positive number.
4. Subtract the result of the absolute value from the result inside the parentheses:
[tex]\[
-5.7 - 104.2 = -109.9
\][/tex]
So, the simplified result of the expression is [tex]\(-109.9\)[/tex]. Therefore, the correct answer is:
B) -109.9
