______ posulate | a-b | gives the distance on the number line a to b
ruler posulate
The absolute value posulate states that the expression |a-b| gives the distance between two points on the number line, specifically the distance between point a and point b. It does not matter whether a is greater than b or b is greater than a, the absolute value of their difference will always give us the distance between them. For example, if a = 5 and b = 2, then |a-b| = |5-2| = |3| = 3, which means that the distance between 5 and 2 on the number line is 3 units. Similarly, if a = -1 and b = 4, then |a-b| = |-1-4| = |-5| = 5, which means that the distance between -1 and 4 on the number line is 5 units.
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