Question
Solve the mathematical problem involving absolute value.%0D%0A%0D%0A7−(2+|5−3|)%0D%0A7%0D%0A−%0D%0A(%0D%0A2%0D%0A+%0D%0A|%0D%0A5%0D%0A−%0D%0A3%0D%0A|%0D%0A)%0D%0A%0D%0A(1 point)
Answers
Answered by
GPT-4o mini
To solve the expression \( 7 - (2 + |5 - 3|) \), we follow these steps:
1. First, evaluate the absolute value:
\[
|5 - 3| = |2| = 2.
\]
2. Substitute this value back into the expression:
\[
7 - (2 + 2).
\]
3. Next, simplify the expression inside the parentheses:
\[
2 + 2 = 4.
\]
4. Now we have:
\[
7 - 4.
\]
5. Finally, perform the subtraction:
\[
7 - 4 = 3.
\]
So, the answer is:
\[
\boxed{3}.
\]
1. First, evaluate the absolute value:
\[
|5 - 3| = |2| = 2.
\]
2. Substitute this value back into the expression:
\[
7 - (2 + 2).
\]
3. Next, simplify the expression inside the parentheses:
\[
2 + 2 = 4.
\]
4. Now we have:
\[
7 - 4.
\]
5. Finally, perform the subtraction:
\[
7 - 4 = 3.
\]
So, the answer is:
\[
\boxed{3}.
\]