Question

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.

Answer 1

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.