document.write( "Question 70622: For the following set, which number has the largest absolute value? Show work
\n" ); document.write( "4,-1,12,-20,19,0\r
\n" ); document.write( "\n" ); document.write( "A) 0
\n" ); document.write( "B) 19
\n" ); document.write( "C) -20
\n" ); document.write( "D) -1
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Algebra.Com's Answer #50411 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
The answer is -20 because the when you take the absolute value of any number becomes a
\n" ); document.write( "positive number. In this problem taking the absolute value of -20 makes it + 20, and that
\n" ); document.write( "is the largest number in the set.
\n" ); document.write( ".
\n" ); document.write( "\"abs%284%29+=+4\"
\n" ); document.write( ".
\n" ); document.write( "\"abs%28-1%29+=+-%28-1%29+=+%2B1\"
\n" ); document.write( ".
\n" ); document.write( "\"abs%2812%29+=+12\"
\n" ); document.write( ".
\n" ); document.write( "\"abs%28-20%29+=+-%28-20%29+=+%2B20\"
\n" ); document.write( ".
\n" ); document.write( "\"abs%2819%29+=+19\"
\n" ); document.write( ".
\n" ); document.write( "\"abs%280%29+=+0\"
\n" ); document.write( ".
\n" ); document.write( "Another way to look at this is that when you take the absolute value of a number you are finding
\n" ); document.write( "the distance that number is from zero on the number line. The absolute value of -5 is the
\n" ); document.write( "same as the absolute value of +5 because both numbers are 5 units away from 0 on the number
\n" ); document.write( "line. In your problem -20 is 20 units from zero on the number line.
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\n" ); document.write( "And another way to look at it is to just convert all the numbers to positive values and
\n" ); document.write( "then choose the largest of these values as the answer to your problem.
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\n" ); document.write( "Hope this helps you to visualize what the absolute value means regarding numbers. It
\n" ); document.write( "just leaves positive numbers as positive, and it converts negative numbers to positive
\n" ); document.write( "numbers.
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