# Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 4 and 15

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
4 and 15
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Step 1
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
4 and 15
Step 2
We know that,the distance between p and q is given by $|p-q|\phantom{\rule{1em}{0ex}}\text{or}\phantom{\rule{1em}{0ex}}|q-p|$.
So, the distance between 4 and 15 is $|4-15|\phantom{\rule{1em}{0ex}}\text{or}\phantom{\rule{1em}{0ex}}|15-4|$
Now, for $|4-15|$
$⇒|4-15|=|-11|$
$⇒|4-15|=11$
Now, for $|15-4|$
$⇒|15-4|=|-11|$
$⇒|15-4|=11$
On solving both $|4-15|\phantom{\rule{1em}{0ex}}\text{or}\phantom{\rule{1em}{0ex}}|15-4|$ we get 11
Therefore,the distance between 4 and 15 is 11