Short DivisionDate: 01/11/2002 at 20:57:33 From: Alexis Rushing Subject: Short division I know how to do long division, but I have math problems that say solve by using "short division." Can you explain what this means, how it is different from long division (if it is), and how I would do a problem such as 205 divided by 4 using "short" division? Thank you very much, Alexis Rushing Date: 01/11/2002 at 22:26:26 From: Doctor Peterson Subject: Re: Short division Hi, Alexis. I checked the Web to make sure that what I call short division is still called that; here's one explanation: Short Division - Garden Schools, Missouri http://www.gardenschools.com/Class/MA/MAIN0010.htm This method can be used to save paper when you are dividing by a one- digit number. You do all the same work as in long division, but do most of it in your head. I would have expected your text to tell you what it is before asking you to use it. I'll demonstrate on a problem like yours, first as long division: ____5_8_ 3 ) 1 7 5 1 5 --- 2 5 2 4 --- 1 and then as short division: ____5_8_rem_1 2 3 ) 1 7 5 The extra 2 is meant to be a small raised 2 just to the left of the 5. What I did here was to divide 17 by 3, giving 5, and subtract 17-15 in my head, leaving a remainder of 2. Then, where in long division I would "bring down" the 5, I instead "put up" the 2 next to the 5, making the new dividend 25. Now I divide 25 by 3 and get 8; when I subtract 25-24 in my head I just write the remainder in the answer. Your specific problem is even easier than this one; I didn't do yours because I couldn't have demonstrated putting up the remainder. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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