$3[35 + (45 + 10 \div 2 \times 3 - 50) + 5]$
Solving the Math Expression Step-by-Step
To solve the given expression $3[35 + (45 + 10 \div 2 \times 3 - 50) + 5]$, we follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Order of Operations Applied
- Parentheses/Brackets: Start with the innermost calculations.
- First, solve the division and multiplication within the inner parentheses: $10 \div 2 \times 3$.
- Division: $10 \div 2 = 5$.
- Multiplication: $5 \times 3 = 15$.
- So, $10 \div 2 \times 3 = 15$.
- Next, complete the calculation inside the inner parentheses: $(45 + 15 - 50)$.
- Addition: $45 + 15 = 60$.
- Subtraction: $60 - 50 = 10$.
- Thus, $(45 + 10 \div 2 \times 3 - 50) = 10$.
- Now, substitute this result back into the main bracket: $[35 + 10 + 5]$.
- Perform the addition: $35 + 10 + 5 = 50$.
- First, solve the division and multiplication within the inner parentheses: $10 \div 2 \times 3$.
- Multiplication: Finally, multiply the result from the bracket by 3.
- $3 \times 50 = 150$.
Final Result
The value of the expression $3[35 + (45 + 10 \div 2 \times 3 - 50) + 5]$ is 150.
Similar Questions
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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)
