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
If 2945 ÷ 19 – 11 × 5 = 29 + a, find the value of a.
DIRECTIONS: What should come in place of the question mark (?) in the following question?
3800 - 22 × 1968 ÷ 48 = ? × 7
Solve: {7.88 × 2 + 2.4 × 5 - 242.4 ÷ 4 + [9.2 × 4 - 2.46 of 3 + (36.3 ÷ 3 - 1.42 × 2)]}
What will come in the place of question mark (?) in the given expression?
(420 ÷ 12 × 35 + 452- 152) = ?2
Evaluate: (13 × 8 - √81 × 6 + 1 ) ÷ (√49 + 72 - 18 × 2 + 19)
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