Half of what number is 132
The Correct Answer and Explanation is:
Correct Answer:
To find half of what number is 132, let’s set up the equation:12×x=132\frac{1}{2} \times x = 13221×x=132
To find the value of xxx, multiply both sides of the equation by 2:x=132×2=264x = 132 \times 2 = 264x=132×2=264
So, the correct answer is 264.
Explanation:
This problem asks us to determine the number that, when halved, gives the result 132. To solve this, we first need to understand what it means to find “half” of a number. Mathematically, taking half of a number is the same as multiplying it by one-half or dividing it by 2.
The question says: “Half of what number is 132?” This means we are looking for a number such that when it is divided by 2, the result is 132. We can represent the unknown number with a variable—let’s call it xxx. This leads us to the equation:12×x=132\frac{1}{2} \times x = 13221×x=132
To isolate xxx, we perform the inverse of multiplying by one-half, which is multiplying both sides by 2:x=132×2=264x = 132 \times 2 = 264x=132×2=264
This tells us that the original number is 264, because when you take half of 264, you get 132.
Let’s double-check:2642=132\frac{264}{2} = 1322264=132
Yes, the answer is confirmed to be correct.
This kind of problem is a simple algebraic equation and is a basic example of how inverse operations help us solve for unknowns. Understanding how to interpret phrases like “half of what number” is important in developing algebraic thinking. It teaches us to translate real-world or word-based problems into mathematical expressions that can be solved using known procedures. Whether you’re a student, a professional, or someone brushing up on math, mastering these foundational skills is essential for tackling more complex problems in the future.
