What will come in place of question mark (?) in the following equation? (32 × 9) ÷ 18 + 52 = ?
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Equation Calculation Steps
This solution details how to solve the mathematical equation (32 × 9) ÷ 18 + 52 = ? using the standard order of operations, also known as BODMAS/PEMDAS.
Understanding the Order of Operations (BODMAS/PEMDAS)
To solve this equation correctly, we need to follow the specific order:
- Brackets / Parentheses: Operations inside brackets come first.
- Orders / Exponents: Powers or square roots are calculated next.
- Division and Multiplication: These are done from left to right.
- Addition and Subtraction: These are done last, from left to right.
Solving the Equation: (32 × 9) ÷ 18 + 52 = ?
Let's break down the calculation step-by-step:
Step 1: Calculate the expression inside the Brackets
First, we perform the multiplication within the parentheses:
$32 \times 9 = 288$
The equation now looks like this: 288 ÷ 18 + 52 = ?
Step 2: Perform the Division
Next, according to the order of operations, we perform the division:
$288 \div 18 = 16$
The equation simplifies further to: 16 + 52 = ?
Step 3: Perform the Addition
Finally, we complete the calculation by performing the addition:
$16 + 52 = 68$
Conclusion on Calculation
Therefore, based on the standard order of operations, the result of the calculation (32 × 9) ÷ 18 + 52 is 68.
Reviewing the Options
The options provided for the question were 31, 33, 41, 43, and 47. The calculated result of 68 does not match any of the given multiple-choice options.
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