Can the opposite of a number always, sometimes, or never be greater than the number itself?

Sometimes because the answer be be a positive, and the opposite would be a negative which is less. But for a negative, it is always greater. So the answer is sometimes will be greater than the number itself.

Answered by Kb9085784552 | 2024-06-10

For any positive number A, its opposite is a negative number -A, which is never greater than A.
The opposite of a number, otherwise known as its additive inverse, will never be greater than the number itself. In mathematics, opposites are defined such that they have the same magnitude but opposite signs. For instance, the opposite of +5 is -5, and the opposite of -10 is +10. This means the opposite of any positive number is negative, and the opposite of any negative number is positive. The conceptual understanding here is that no matter what the original number is, if you're considering its opposite, the opposite falls on the other side of zero on the number line.
Using a conceptual proof, let's define a positive number as A. Its opposite is -A. Since A is positive, -A must be negative. By definition, a positive number is always greater than a negative number, so A is greater than -A. Therefore, the opposite of a number is never greater than the number itself.

Answered by YashBhattar | 2024-06-24

The opposite of a number can sometimes be greater than the number itself, especially when comparing negative numbers to their positive opposites. For example, the opposite of -3 is 3, which is greater than -3. However, the opposite of positive numbers remains negative, which is not greater than the original number.
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Answered by Kb9085784552 | 2024-12-17