Express the distance between the numbers 2 and 17 using absolute value. Then find the distance by evaluating the absolute value expression ?

Globokim8 2020-12-15 Answered
Express the distance between the numbers 2 and 17 using absolute value. Then find the distance by evaluating the absolute value expression ?
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insonsipthinye
Answered 2020-12-16 Author has 83 answers

Step 1
The two numbers 2 and 17.
Step 2
The distance between two numbers is represented by their difference. As the distance is always a positive quantity, the absolute value function is used over the distance to prevent a negative distance.
The distance between points x and y is given by |xy|.
Put 2 for x and 17 for y|xy|.
|xy|=|217|
=|15|
The absolute value function is defined by |x|={xx0xx<0.
Since -15 < 0, it can be concluded that |15|=(15).
|15|=15
The distance between the points 2 and 17 is expressed as |217| and the value of the expression is 15 units.

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