Putting Division into WordsDate: 04/06/99 at 09:55:28 From: nicole thiel Subject: Division How many times does 4 go into 600? I know the answer is 150, but I I have to explain how I got the answer and I am having a hard time putting it into words. Date: 04/06/99 at 12:57:16 From: Doctor Peterson Subject: Re: Division Hi, Nicole. Since I don't know how YOU got the answer, I can't put it into words for you, but I can suggest how I might do it without having learned division yet. Suppose I have 600 sticks, and I want to divide them among four people. Rather than count them out individually, I want to make use of what I know from the number: that they come in 6 bundles of 100. I can start by giving each person a bundle, so each has 100 sticks and I have 2 bundles left over. I've divided 6 by 4 and gotten a quotient of 1, with a remainder of 2. Now how can I divide the remaining 2 bundles among four people? I have to untie the bundles. Luckily, I find that each bundle is really ten bundles of ten sticks tied together - that is, 1 hundred is the same as 10 tens. So now I have 20 bundles of 10. I can divide 20 by 4 to get exactly 5, so I give each person 5 bundles of ten. Now each of them has 1 hundred and 5 tens, making a total of 100 + 50 = 150. Since I have none left, we're done, and you have your answer. This is just what we do when we divide numbers with several digits. I don't know whether you've learned this yet, so I'll just write it out and you can figure out what it means by comparing it with what I've said: _150_ 4 )600 4 <-- 4 hundreds (1 x 4) distributed - 20 <-- 2 hundreds (20 tens) left 20 <-- 20 tens (5 x 4) distributed -- 00 <-- nothing left 0 <-- nothing more distributed -- 0 Does that fit with your own reasoning at all? If not, it's a good way to think. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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