$1800 \div (11 \times 24 \div 8 \times 3 - 69)^2$
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
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Important Questions from Bodmas Rule
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
What will come in place of the question mark ‘?’ in the following question?
(44 of 15) – [(450 × 240 ÷ 60 – 40) ÷ 80 × 25 + 50] – 10 = ?Simplify: 92 - 18 ( 9 + 36 ÷ 3 × 12 - 27 × 3) + 51
Simplify the following expression.
\(\rm \frac{3}{5}\ of\ \left\{\left(48\div\overline{36\div9}\times\frac{1}{6}\right)+\frac{1}{3}\right\}=?\)
