The Correct Answer and Explanation is:
The correct answer is 250.
To arrive at this solution, we must correctly interpret the mathematical expression shown in the image and apply the standard order of operations. The expression presented is “522:2-11=?”.
First, it is important to understand the symbols used. The colon (:) is a common symbol for division, equivalent to the obelus (÷) or the slash (/). The hyphen (-) represents subtraction. Therefore, the problem asks us to solve 522 divided by 2, and then subtract 11 from the outcome.
The correct way to solve a mathematical expression with multiple operations is to follow the order of operations, often remembered by acronyms like PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) or BODMAS. These rules dictate that division and multiplication should be performed before addition and subtraction, working from left to right.
In this specific problem, we have one division and one subtraction. According to the order of operations, we must perform the division first.
Step 1: Division
We calculate 522 divided by 2.
522 : 2 = 261
After completing the division, our expression is simplified. We now have the result of the first operation, which we can use in the next step.
Step 2: Subtraction
The expression now becomes 261 – 11. We perform this final calculation.
261 – 11 = 250
By following the mathematical rules precisely, first executing the division and then the subtraction, we find that the final answer is 250. Any other order of calculation, such as subtracting before dividing, would lead to an incorrect result. Thus, the value that should replace the question mark is 250.
