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Kayla claims that the absolute value of a number is always greater than the number itself. Which statement about her claim is true?

Kayla is correct. Any positive number is greater than a negative, and absolute value of a number is always positive.
Kayla is correct. The distance between 0 and a number is always more than the number.
Kayla is incorrect. The absolute value of a positive number is negative, and negative numbers are less than positive numbers.
Kayla is incorrect. The absolute value of 0 or a positive number is equal to the number

1 answer

The correct statement about Kayla's claim is:

Kayla is incorrect. The absolute value of 0 or a positive number is equal to the number.

Explanation:

  1. The absolute value of a positive number is equal to the number itself.
  2. The absolute value of 0 is also equal to 0.
  3. The absolute value of a negative number is greater than the number itself; however, this does not apply to zero or positive numbers.

So, while the absolute value of negative numbers is indeed greater than the numbers themselves, that is not true for zero or positive numbers where the absolute value equals the number.