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 if a positive number? Explain

Question

Mathematics

Ellis Savage

17 November, 10:24

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 if a positive number? Explain

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Sage Howard · Answer 1

The absolute value of any number will always be positive. For example:

|6| = 6

|-13| = 13

Notice that the absolute value of - 13 is greater than 6. This is because absolute value is the "distance" of a number from on a number line. Because - 13 is farther away from 0 than 6 is, the absolute value of - 13 is larger than 6.