document.write( "Question 95005: 1+2-3*4/5= \n" ); document.write( "
Algebra.Com's Answer #69135 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Given: \n" ); document.write( ". \n" ); document.write( "1+2-3*4/5 \n" ); document.write( ". \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. \n" ); document.write( ". \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: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "and the -12/5 is equal to -2.4. So the problem is reduced to: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \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: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "and finally you subtract 2.4 from 3 to get the answer 0.6 \n" ); document.write( ". \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: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \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: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "But 3 is equivalent to \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \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: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \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. \n" ); document.write( ". \n" ); document.write( "So the answer to this problem is either \n" ); document.write( ". \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. \n" ); document.write( " |