1. the absolute value of a negative number will always be a positive number.
2. the absolute value of any number will always be a positive number.
3. positive numbers will always have a higher absolute value than negative numbers.

answer true or false. if false, explain why.

1. True: the absolute value works exactly in this way: it turns negative numbers into their positive counterpart (e.g.: |-3|=3), and it does nothing on positive numbers (e.g.: |10|=10). So, the absolute value of a negative number will always be a positive number.

2. True (see above)

3. False: for example, you can pick -100 and 30. Their absolute value is 100 and 30, and 100>30. So, the absolute value of a negative number is greater the absolute value of a positive number.

step-by-step explanation: