The absolute value of an integer is always greater than the integer
The statement "The absolute value of an integer is always greater than the integer" is incorrect. In fact, the absolute value of an integer is defined as the distance of that integer from zero on a number line, and it is always a non-negative value. Therefore, the absolute value of an integer can be equal to or greater than the integer itself, but it cannot be less than the integer.
To understand why the absolute value of an integer is always greater than or equal to the integer, let's first define what absolute value means. The absolute value of a number represents its distance from zero on the number line, regardless of its positive or negative sign.
For example, if we have the integer -5, the absolute value of -5 would be 5. This is because -5 is 5 units away from zero on the number line, and absolute value disregards the negative sign.
So, if we have any positive integer, let's say 10, the absolute value of 10 would still be 10. In this case, the absolute value and the original value are the same because the number is already positive.
Now, if we have a negative integer, say -10, the absolute value of -10 would again be 10. Similarly, the absolute value and the original value are the same because the number is already negative, and absolute value removes the negative sign.
In both cases, whether the integer is positive or negative, the absolute value is always greater than or equal to the original integer because the absolute value represents the distance of that number from zero on the number line.
no.
|6| = 6
|-6| = 6 > -6
it is always equal unless the integer is negative. Then it is greater.