What should come in place of the question mark '?' in the following question?
5
This question requires simplifying a mathematical expression involving multiple arithmetic operations. We need to find the value that replaces the question mark '?' in the given equation using the order of operations (often remembered by the acronym BODMAS/PEMDAS).
Mathematical Expression Simplification
The given equation is:
$$13 \times 3 \text{ of } 5 \div 26 = ? + 2.5$$
To solve this, we follow the BODMAS rule:
- Brackets
- Of (or Order)
- Division and Multiplication (from left to right)
- Addition and Subtraction (from left to right)
Step-by-Step Calculation
Let's break down the calculation step-by-step:
-
Evaluate 'Of': The term '3 of 5' means 3 multiplied by 5.
$$3 \text{ of } 5 = 3 \times 5 = 15$$
-
Substitute back into the equation:
The equation now becomes:
$$13 \times 15 \div 26 = ? + 2.5$$
-
Perform Multiplication: Calculate 13 times 15.
$$13 \times 15 = 195$$
The equation is now:
$$195 \div 26 = ? + 2.5$$
-
Perform Division: Calculate 195 divided by 26.
$$195 \div 26 = 7.5$$
The equation simplifies to:
$$7.5 = ? + 2.5$$
-
Solve for '?': To find the value of '?', subtract 2.5 from both sides of the equation.
$$? = 7.5 - 2.5$$
$$? = 5$$
Final Result Explanation
The value that should come in place of the question mark is 5. This corresponds to one of the options provided.
Similar Questions
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Important Questions from Simplification
What will come in the place of the question mark ‘?’ in the following question?
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