Final answer:
Numbers with an absolute value greater than 2 1/2 are less than -2.5 and greater than 2.5.
Examples include -3, 3, -5, and 10 since their absolute values are all greater than 2.5.
Step-by-step explanation:
Some numbers that have an absolute value greater than 2 1/2 are any numbers less than -2 1/2 and any numbers greater than 2 1/2.
In mathematical terms, if we represent these numbers as 'n', we can say that n < -2.5 or n > 2.5 satisfy the condition.
Here are a few examples:
- -3 (since |-3| = 3 which is greater than 2 1/2)
- 3 (since |3| = 3 which is greater than 2 1/2)
- -5 (since |-5| = 5, which is also greater than 2 1/2)
- 10 (since |10| = 10, clearly greater than 2 1/2)
Remember that the absolute value of a number is its distance from zero on the number line, regardless of direction, whether it is positive or negative.