Solving the Math Equation: 125 + 60 × 2 – 23 × 10 = ?

This problem requires us to find the value that replaces the question mark in the given mathematical expression. To solve this correctly, we need to follow the standard order of operations, often remembered by the acronyms BODMAS or PEMDAS.

Understanding the Order of Operations (BODMAS/PEMDAS)

BODMAS stands for:

• Brackets
• Orders (powers and square roots, etc.)
• Division
• Multiplication
• Addition
• Subtraction

PEMDAS stands for:

• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction

Multiplication and Division have the same priority and are performed from left to right. Similarly, Addition and Subtraction have the same priority and are performed from left to right. In our equation, we have addition, multiplication, and subtraction.

Step-by-Step Calculation

The equation is:

$$ 125 + 60 \times 2 – 23 \times 10 = ? $$

Step 1: Perform Multiplication

According to BODMAS/PEMDAS, multiplication should be done before addition and subtraction.

• Calculate the first multiplication: $ 60 \times 2 = 120 $
• Calculate the second multiplication: $ 23 \times 10 = 230 $

Now, substitute these results back into the equation:

$$ 125 + 120 – 230 = ? $$

Step 2: Perform Addition

Next, we perform the addition from left to right.

• Add 125 and 120: $ 125 + 120 = 245 $

The equation now becomes:

$$ 245 – 230 = ? $$

Step 3: Perform Subtraction

Finally, perform the subtraction.

• Subtract 230 from 245: $ 245 – 230 = 15 $

Final Equation Result

The value that comes in place of the question mark is 15.

$$ 125 + 60 \times 2 – 23 \times 10 = 15 $$

Comparing this result with the given options, the correct option is 15.