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Negative numbers are less than positive numbers. Does this mean that the absolute value of a negative number must be less than the absolute value of a positive number? Explain by giving an example.

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Final answer:

Yes, the absolute value of a negative number is indeed less than the absolute value of a positive number.

Step-by-step explanation:

Yes, the absolute value of a negative number is indeed less than the absolute value of a positive number. The absolute value of a number is its distance from zero on the number line, without considering the sign. For example, the absolute value of -4 is 4, which is greater than the absolute value of 3, which is also 3. So, in general, the absolute value of a negative number will be less than the absolute value of a positive number.

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