$1800 \div (11 \times 24 \div 8 \times 3 - 69)^2$
Solving the Mathematical Expression
To solve the expression $1800 \div (11 \times 24 \div 8 \times 3 - 69)^2$, we follow the order of operations (PEMDAS/BODMAS).
Order of Operations Steps
-
Parentheses/Brackets First: Evaluate the expression inside the parentheses: $(11 \times 24 \div 8 \times 3 - 69)$.
- Multiplication and Division (from left to right):
- $11 \times 24 = 264$
- $264 \div 8 = 33$
- $33 \times 3 = 99$
- Subtraction: $99 - 69 = 30$
The expression inside the parentheses simplifies to $30$.
- Multiplication and Division (from left to right):
-
Exponents/Orders: Square the result from the parentheses: $(30)^2$.
- $(30)^2 = 30 \times 30 = 900$.
The expression now is $1800 \div 900$.
-
Division: Perform the final division.
- $1800 \div 900 = 2$.
Final Result
The value of the expression $1800 \div (11 \times 24 \div 8 \times 3 - 69)^2$ is $2$.
Similar Questions
- Solve the following.
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- Solve the following:
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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)
