
Teach Your Kids Arithmetic The QuickAdd Part IIIn continuation of Part I, we now plunge more deeply into the QuickAdd Method and show how this makes doing addition quite easy. This procedure hinges on two key ideas: 1) the method of complements; and 2) the QuickAdd Conversion. To refresh your memory (also see "Teach Your Kids Arithmetic  The QuickAdd  Part I), complements of a number are those numbers, which when added to the given number, yield a sum of 10, or some multiple of 10. For example, the 10complement of 8 is 2, since 8 + 2 = 10. The 10complement of 4 is 6, since 4 + 6 = 10. The QuickAdd conversion is simply the way in which we convert our given addition problem into a "quickadd;" for once done, the problem becomeswell, what the method says: a quickadd. That is, the addition can be done quickly and easily. As mentioned previously, the QuickAdd works as follows: in analyzing 10 + 7, we rewrite this example as 10 + 07. We insert a 0 in front of the 7 as a placeholder for the empty "tens column," and to bring the numbers into parallel structure. The brain performs 1 + 0 in the "tens column" and 0 + 7 in the "ones column," thus capitalizing on the "Additive Identity Property" of 0. Whenever we are confronted by an addition problem, we are going to convert it to a "quickadd." For example, take the addition of 7 + 5. This is 12, but some children might not get this straight away. Ask them what 10 + 2 is, however, and the answer is for the most part immediate. Nobody struggles with the latter addition problem because it is in "quickadd format. " Now to get the problem into this format, we simply do the "QuickAdd Conversion," and this is when the idea of complements comes in to play. We always work with the bigger number, which in this example is 7. We take the 10complement of 7, which is 3. We reduce the smaller number, 5, by 3 to become 2. Now we have the converted example: 7 goes to 10, and using its complement 3 to reduce 5, 5 goes to 2. We now have the "quickadd" 10 + 2 = 12. Let's look at another example: 8 + 9. In this case, the 10complement of 9 is 1; thus 8 is reduced by 1 to 7, and we have the "quickadd" 10 + 7 = 17. A snap! If both numbers are the same, no problem. Look at 6 + 6. The 10complement of 6 is 4, thus the other 6 gets reduced by 4 to 2. We now have the "quickadd" 10 + 2, which is 12. This method can be extended to larger and larger numbers, using the idea of 100complements, 1000complements, and so on. For now, I will examine just another two examples, using additions with numbers bigger than 10. Take 18 + 8. We break down 18 into 10 + 8, and observe that the 10complement of 8 is 2; 18 then becomes rounded to 20, the next 10 up from 18, and 8 becomes reduced by the 2 to 6. Thus we have 20 + 6 = 26. For the example of 19 + 17, we have 19 is 10 + 9 and 17 is 10 + 7. The 10complement of 9 is 1, so 19 goes to 20, and 17 is reduced 1 to 16. So the converted example is 20 + 16, which can be further broken down to 20 + (10 + 6) = 20 + 10 + 6 = 30 + 6 = 36. In the last example, I was using some forgotten rules of arithmetic, such as the Associative Property of Addition, and breaking down the example quite extensively; however, I think the point is made and the procedure is now established. Try looking at addition problems from this perspective by using the idea of complements and "QuickAdd" conversions. I don't think you or your kids will be having trouble with addition anymore. Stay tuned for more arithmetic magic in my future series of articles on this most important topic. . By: Joe Pagano Homeschooling and Education Why College Education is so Crucial for Success  At this point in life I am a selfsufficient and independent person ready to take the next step in life. Top Tips When Shopping Online  Shopping online is something that is becoming increasingly popular. Can We Hide Our Sound  It has always been a wish of military designers to hide the sound of the equipment they build to insure its survivability on or above the battlefield. Gift baskets designed for women  Designing a gift basket for women is an indomitable task as it is a known fact that it is quite difficult to make out what exactly will be alluring to the female eye. US Navy SEALs Coins Real Story behind US Navy SEAL Coins  Think Navy Seals, and you think about Valor, Adventure, Bravery on the Battlefield, and, Commitment to the Country and its People. more... 