What will come in the place of the question mark '?' in the following question? 78 × 2 - 56 + 78 = ?
178
Solve Arithmetic Expression: 78 × 2 - 56 + 78 = ?
This question requires solving a basic arithmetic expression involving multiplication, subtraction, and addition. To find the correct answer, we need to follow the standard order of operations, often remembered by the acronyms PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) or BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).
Order of Operations Explained
The order of operations dictates the sequence in which calculations should be performed:
- Multiplication and Division are performed from left to right.
- Addition and Subtraction are performed from left to right.
Step-by-Step Calculation
Let's apply the order of operations to the given expression:
The expression is: $78 \times 2 - 56 + 78$
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Multiplication: First, calculate the multiplication part.
Calculate $78 \times 2$:
$78 \times 2 = 156$
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Substitute: Replace the multiplication part with its result in the expression.
The expression now becomes: $156 - 56 + 78$
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Subtraction: Next, perform the subtraction from left to right.
Calculate $156 - 56$:
$156 - 56 = 100$
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Addition: Finally, perform the addition.
Calculate $100 + 78$:
$100 + 78 = 178$
Result and Options Match
The final result of the calculation is 178.
Let's compare this result with the given options:
- Option 1: 130
- Option 2: 178
- Option 3: 168
- Option 4: 100
- Option 5: 134
The calculated answer, 178, matches Option 2.
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Important Questions from Simplification
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