here we have to evaluate eachexpression involving an absolute value where the absolute value of a numberis a numbers distance from zero so because the absolute value of a number is a distance and distance is always positive the absolute value of a number
How To Add Two Fractions In Java, is also always positive and we use vertical bars to indicate absolute value for example the absolute value of x is denoted
with x inside a pair of vertical bars to better understand absolute value though let's look at this diagram let's say two people exit the building one person walks out the door and walk 20 meters to the right notice how this person is 20 meters from the building if the second person walks out the building and walk 20 meters left
notice how this person is also 20 meters from the building and this is the idea of absolute value it's a distance it does not indicate direction applying this to a number line if we think of the location of the building as zero the number line and the person on the right locatedat twenty on the number line because 20 is 20 units from zero
the absolute value of 20 equals positive 20 if we think of the person on the left beinglocated at negative 20 on the number line because negative 20 is 20 units from zero the absolute value of negative 20 is also positive 20 and now let's go back and look at our examples let's also model b. on the number line our first expression is the absolute value of eight this is equal to
the distance positive eight is from zero so here's positive eight and here's zero by determining this distance or determining the absolute value of positive eight because this distance is eight units the absolute value of positive eight is positive eight next we have the absolute value of negative five which equals the distance negative five is from zero so here's negative five on the number line
here's zero the distance from negative five to zero will give us the absolute value of negative five and because this distance is five units the absolute value of negative five is positive five and then finally we have the absolute value of zero well zero is right here because zero is zero units from zero
the absolute value of zero equals zero now sometimes you will hear peoplesay that the absolute value makes everything inside positive meaning if it's positive its stays positive and if it's negative it becomes positive well that may be true it is important to understand what absolute value meansi hope you found this helpful
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