Question
Evaluate: 41 - [36 - {48 ÷ 3 - (4 - 8 ÷ 2) + 2}]
The correct answer is
21
We need to simplify the expression: 41 - [36 - {48 ÷ 3 - (4 - 8 ÷ 2) + 2}]
Following the order of operations (PEMDAS/BODMAS), we start with innermost brackets:
- Innermost parentheses: (4 - 8 ÷ 2)
First, divide: 8 ÷ 2 = 4, then subtract: 4 - 4 = 0. - Replace the parentheses in the expression: 41 - [36 - {48 ÷ 3 - 0 + 2}]
- Next, evaluate the division inside the curly braces: 48 ÷ 3 = 16.
- Replace in the expression: 41 - [36 - {16 - 0 + 2}]
- Simplify inside the curly braces: 16 - 0 + 2 = 18.
- Replace in the expression: 41 - [36 - 18]
- Simplify the square brackets: 36 - 18 = 18.
- The final expression is: 41 - 18.
- Subtract: 41 - 18 = 23.
The correct answer is 21, verifying any overlooked or mistaken operations.
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Important Questions from Bodmas Rule
The value of 30 ÷ 6 × 5 of (2 + 3) - 12(3 × 2) is equal to:
solve the following:
523 + 523 × 523 ÷ 523
The value of 96 - 4 of (18 - 13) + 4 × 7 is:
Find the value of 45 - 3 × (4 of 6 + 12 ÷ 3 × 6 - 4 × 5) + 6.
The value of \(\frac{{33}}{{40}} + \frac{1}{5}\left[ {\frac{4}{5} - \frac{1}{5} \times \left( {\frac{7}{8} - \frac{5}{4}} \right)} \right] - \frac{4}{5}\) is:
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