document.write( "Question 95005: 1+2-3*4/5= \n" ); document.write( "
Algebra.Com's Answer #69135 by bucky(2189)\"\" \"About 
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Given:
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\n" ); document.write( "1+2-3*4/5
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\n" ); document.write( "By the rules governing the order of operations, the first thing you do in this problem
\n" ); document.write( "is to read it from left to right and perform the multiplications and divisions as you come
\n" ); document.write( "to them.
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\n" ); document.write( "The first multiplication or division you come to in going from left to right is -3 times 4
\n" ); document.write( "and this results in -12, and that is followed by the division sign so you divide the -12
\n" ); document.write( "by 5 next. With these two actions you now have simplified the problem to:
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\n" ); document.write( "\"1+%2B+2+-12%2F5\"
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\n" ); document.write( "and the -12/5 is equal to -2.4. So the problem is reduced to:
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\n" ); document.write( "\"1+%2B+2+-+2.4\"
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\n" ); document.write( "Now return to the start of the problem and reading from left to right you do the additions
\n" ); document.write( "and subtractions as you come to them. The first one you come to is 1 + 2 and that reduces
\n" ); document.write( "the problem to:
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\n" ); document.write( "\"3+-+2.4\"
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\n" ); document.write( "and finally you subtract 2.4 from 3 to get the answer 0.6
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\n" ); document.write( "I put it in decimal form so you could see the flow of the problem. It could also have been
\n" ); document.write( "done in fraction form starting from the result we got above which is:
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\n" ); document.write( "\"1+%2B+2+-12%2F5\"
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\n" ); document.write( "At this point we go back to the left and reading from left to right we do the additions
\n" ); document.write( "and subtractions beginning with 1 + 2 = 3 which reduces the problem to:
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\n" ); document.write( "\"3+-+12%2F5\"
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\n" ); document.write( "But 3 is equivalent to \"15%2F5\" so we can substitute this for 3:
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\n" ); document.write( "\"15%2F5+-+12%2F5\"
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\n" ); document.write( "Notice that both terms have the common denominator of 5 so we can combine them by subtracting
\n" ); document.write( "their numerators to get:
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\n" ); document.write( "\"15%2F5+-+12%2F5+=+%2815+-+12%29%2F5+=+3%2F5\"
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\n" ); document.write( "And notice that if you divide 5 into 3 you get 0.6 which is the same answer that we got by
\n" ); document.write( "doing the problem in decimal form.
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\n" ); document.write( "So the answer to this problem is either \"3%2F5\" or \"0.6\"
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\n" ); document.write( "Hope this helps you to understand the order of operations for problems that involve
\n" ); document.write( "multiplications, divisions, additions, and subtractions.
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