Question

Choose the appropriate option(s) for which the absolute values can exceed the given integers.

• A. Negative integers
• B. Zero
• C. Positive integers
• D. None of the above

Answer 1

The correct option is A Negative integers

$\underset{–}{\text{Absolute Value of a Number:}}$
The absolute value of an integer is the actual distance of the integer from zero, on the number line. Therefore, the absolute value is always a positive value or zero but cannot be a negative number.

From the above definition, we can conclude:

• Non-negative (positive numbers including zero) number's absolute values are always the numbers themselves. For example: $|5|=5,|0|=0$
• Negative number's absolute values are positive always. For example, $|-5|=5$, and $5>-5$.

Therefore, the absolute value of any negative integer always exceeds the number itself.