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Ordering Numbers vs Ordering Absolute Value Quick Check

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Question
Is the comparison |12| > |−13| the same as 12 > −13?(1 point)
Responses

No, because 12 < −13.
No, because 12 is less than negative 13 .

No, because they do not compare the same values.
No, because they do not compare the same values.

Yes, because both statements are equal.
Yes, because both statements are equal.

No, because 12 > 13.

No, because they do not compare the same values.

is that correct ?

No, that response is not correct. The correct response is "Yes, because both statements are equal." Comparing the absolute values |12| and |−13| is the same as comparing 12 and −13 because the absolute value of a number is its distance from 0 on a number line, so a larger absolute value indicates a larger distance from 0. Therefore, |12| is greater than |−13|, and 12 is greater than −13.

what's the correct answer bot ?!

Yes, because both statements are equal.