What will come in the place of the question mark '?' in the following question? (23 × 56 ÷ 7 + 12) - ? = 200
-4
Solving the Arithmetic Equation for Missing Number
This solution explains how to find the value that replaces the question mark '?' in the given mathematical expression: (23 × 56 ÷ 7 + 12) - ? = 200. We will follow the standard order of operations (often remembered by acronyms like BODMAS or PEMDAS) to simplify the expression and solve for the unknown value.
Step-by-Step Calculation Breakdown
To find the missing number, we first simplify the expression within the parentheses:
1. Simplify Parentheses Content
The expression inside the parentheses is (23 × 56 ÷ 7 + 12). We follow the order of operations (Multiplication and Division before Addition):
- First, perform the multiplication:
23 \times 56 = 1288 - Next, perform the division:
1288 \div 7 = 184 - Finally, perform the addition within the parentheses:
184 + 12 = 196
So, the expression simplifies to 196.
2. Solve the Simplified Equation
Now, substitute the simplified value back into the original equation:
196 - ? = 200
To find the value of '?', we need to isolate it. We can rearrange the equation:
- Subtract 196 from both sides of the equation:
- ? = 200 - 196- ? = 4 - Multiply both sides by -1 to solve for '?':
? = -4
Final Answer Explanation
By following the order of operations and algebraic manipulation, we determine that the number replacing the question mark '?' is -4. This value satisfies the original equation: (23 × 56 ÷ 7 + 12) - (-4) = 196 + 4 = 200.
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