Which statement about absolute value is true?

A. A negative number has a negative absolute value
B. The absolute value of a number is shown by enclosing the number in curly brackets, such as {8}
C. No two numbers can have the same absolute value
D. The absolute value of a number is equal to its distance from zero

1 answer

The true statement about absolute value is:

D. The absolute value of a number is equal to its distance from zero.

Absolute value measures how far a number is from zero on the number line, regardless of direction. The other options are incorrect for the following reasons:

A. A negative number has a negative absolute value - This is false; the absolute value is always non-negative.

B. The absolute value of a number is shown by enclosing the number in curly brackets, such as {8} - This is false; absolute value is shown using vertical bars, such as |8|.

C. No two numbers can have the same absolute value - This is false; for example, both 5 and -5 have an absolute value of 5.

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