Question
\( 8 \times 9 - [ 32 - \{ 24 \div ( 8 - \overline { 4 - 2 } ) \} ] \)
Ask by West Reid. in Pakistan
Dec 01,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
The final result is 44.
Solution
To solve the expression \( 8 \times 9 - [ 32 - \{ 24 \div ( 8 - \overline { 4 - 2 } ) \} ] \), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
1. **Calculate the innermost expression**:
\[
4 - 2 = 2
\]
Therefore, \( \overline{4 - 2} = 2 \).
2. **Substitute back into the expression**:
\[
8 \times 9 - [ 32 - \{ 24 \div ( 8 - 2 ) \} ]
\]
3. **Calculate \( 8 - 2 \)**:
\[
8 - 2 = 6
\]
4. **Substitute back into the expression**:
\[
8 \times 9 - [ 32 - \{ 24 \div 6 \} ]
\]
5. **Calculate \( 24 \div 6 \)**:
\[
24 \div 6 = 4
\]
6. **Substitute back into the expression**:
\[
8 \times 9 - [ 32 - 4 ]
\]
7. **Calculate \( 32 - 4 \)**:
\[
32 - 4 = 28
\]
8. **Substitute back into the expression**:
\[
8 \times 9 - 28
\]
9. **Calculate \( 8 \times 9 \)**:
\[
8 \times 9 = 72
\]
10. **Substitute back into the expression**:
\[
72 - 28
\]
11. **Calculate \( 72 - 28 \)**:
\[
72 - 28 = 44
\]
Thus, the final result is:
\[
\boxed{44}
\]
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Beyond the Answer
To tackle the expression \( 8 \times 9 - [ 32 - \{ 24 \div ( 8 - \overline { 4 - 2 } ) \} ] \), let's break it down step-by-step! First, solve inside the parentheses and brackets: 1. Calculate \( 4 - 2 \) which equals \( 2 \). 2. The overline doesn't affect this value, so we continue with \( 8 - 2 \) which equals \( 6 \). 3. Now, calculate \( 24 \div 6 \) which equals \( 4 \). 4. Substitute back: \( 32 - 4 = 28 \). 5. Now, substitute into the original expression: \( 8 \times 9 - 28 \). 6. Calculate \( 8 \times 9 = 72 \). 7. Finally, perform \( 72 - 28 \) which equals \( 44 \). The final answer is \( 44 \).
