How do you teach / explain regrouping subtraction / rename / loans?
How do you explain what you are doing to "loan" in the following subtraction problem? 2008 - 1957 --------------- My question is: When you take a 1000 2 "2008", what are you doing with that 1000 when it is transferred along the zero to the right of him? I know you just put 1 next to zero and call it "ten". But you are actually the transfer of 1000 "." If you explain this to students or simply tell them to put a small compared to zero and call it "ten" and then continue? I see that is easy to explain the loans of the tens place in the ones place. However, when it comes time to borrow to put the 100s or 1000 instead, I do not know how to explain "what is really happening" when performing the algorithm. Thank you.
I do not know what was going to teach the loans in the first place. Indebtedness is "shortcut" to subtract out value. The sequence that could use is: To teach subtraction (1) using the number of line and make sure positive and negative integers. The student (s) to see what happens when the theft occurs. This is important because the concept of division depends greatly on understanding-grouping of the United Nations as a quick way subtraction. (2) Next, teach place value. Show specifically what it means instead of one, which means the place ten, and so has the student (s) rewrite: 4 - 100's + 9 - 10's + 3 1 = 431 and vice versa is 4 hundreds + 9 tens + 3 ones = 431 and vice versa (3) Once the value instead of sinks, use the place value notation not to do the arithmetic of loans: [4 Hundreds Tens + 5] - [4 dozen] = 4 hundreds + 1 tens 450-40 = 410 for each issue of fact in both directions. Using a block or other manual to represent the respective values of great help. (4) Now show how to divide a large group to a smaller Hundreds 4 =? Tens =??? Some 21 tens + 35 units =??? Hundred / Ten / form Ones (5) By now you'll see that the loan consists of two steps: (a) where you can rest - to extract as much column number that "as you can. (b) If a column needs more than it has done, break the place value of large-format small -" borrow "to complete the remainder of the column. In this way," loan "becomes shorthand notation to reattach the value of grouping. Now that 1 or 2 has little sense as a re-writing of the place values. I have tried many times and it works. Besides leaving the student (s) with a process that can be used for very large numbers. There are quite a few home school where you can get pre-made the number of lines and place value worksheets. A pay site I like is http://edhelper.com. They have a good assortment of worksheets and some can be personalized. Hope this helps!
(1.3) Subtraction Without Borrowing, When the Most Significant Digits Are Equal
