Evaluate: 41 - [36 - {48 ÷ 3 - (4 - 8 ÷ 2) + 2}]
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.
Important Questions from Bodmas Rule
The value of 90 ÷ 20 of 6 × [11 ÷ 4 of {3 × 2 - (3 - 8)}] ÷ (9 ÷ 3 × 2) is:
The value of 1800 ÷ 20 × {(12 - 6) + (24 - 12)} is:
The value of 20 ÷ 5 of 8 × [9 ÷ 6 × (6 - 3)] - (10 ÷ 2 of 20) is:
The value of \(\left( {18 \div 2\;of\frac{1}{4}} \right)\; \times \;\left( {\frac{2}{3} \div \frac{3}{4}\; \times \;\frac{5}{8}} \right) \div \left( {\frac{2}{3} \div \frac{3}{4}of\frac{3}{4}} \right)\) is:
The value of 18 ÷ [26 - {25 - (15 - 5) ÷ 2}] of 12 + 2 - 2 ÷ 4 × 16 is:
