Know your multiplication facts should not be too difficult. In fact, depending on how you look, this company can be great fun. Repetition plays a role, but cool to know some tricks can be the difference between success and failure. Why struggle with the multiplication in the conquest of the arithmetic operation can be easily? Get the key to tackling the main table that you will ever know.
If you read Teach your children about arithmetic - multiplicationShortcuts - Part I, you know, that knowledge of basic multiplication table is the first component of effective multiplication skills. This table is the product of two numbers 1-9 Knowledge of this table is probably one of the most important things you never learn in school, and something you will use throughout their lives. In fact, computers are ubiquitous, but there is no escape, who can multiply the numbers 1 to 9 of aidThey work well in life. Make sure you know not to do so, such as 8 x 3 or 4 x 6 picture!
Learn the table is actually quite simple if you an idea of the composition and the type of replication in general. First of all, I really do not know all the products of 1 x 9.9 x 9 There are some beautiful and practical for us and the properties of this operation, avoiding the need for this. The multiplication is commutative. Remember that the days ofLearn the commutative property of multiplication? (And you thought the teacher was just trying to torment with this stuff.)
This means that the order in which to do this is not important to the outcome or the product is the same. What is 3 x 4 = 4 x 3 or in general BXA = axb, where a and b are two numbers.
Since there are nine figures on the top line and sides of the multiplication table, there is eighty-products can be formed.Because of the wonderful commutative, we have not had this many. In fact, we learn only forty-five, of which there are 22 other devices. This leaves us with a paltry 23 multiplications, it is not that great. And what you learn in this article, you soon realize that these 23 products have nothing to fear.
Okay let's go to work. Among the possible products eighty thirty-six the commutative property are eliminated. L 'Leaves of forty years. Of these, the 1-times table is easy because the number 1 is the multiplicative identity. This means that a time series provides a different way. Case closed. This eliminates additional nine products, and now we are up to thirty-six. The two-times table is prepared easily and never too many problems for students. This goes for 3 times. Initially, most children have learned from two friends, three friends, even among friends 4 and 5. However, some withoutwas released, the table 2 times are considered by most. For example, 2 x 9 is 9 + 9 This can be achieved by adding a "Quick Add" get to 9 + 9 + 8 = 18 to 10 (More on this article, see beyond me. Go to the link at the end of this article.) Understanding the two cleared eight other products, and this brings us to 2008.
The 3 times, and we note that these products by adding them as a result capable of processingTable 2 additional times with an addendum. In other words, 3 x 7 can be described as follows
(2 x 7) + 7 + 7 or 14 This addition can again as Quick Add-on 14 + 7 be treated to convert it into 20 + 1 = 21 After sending in the correct 3 friends, we have seven other products, and we up to 21 hours
As you may have guessed, it can be seen in table 4 times through the eyes of the table 2 times. For example, x 4 can be thought of as 8 x 8 2 doubles. Since we already know, 2 x 8= 16, we only need to add 16 + 16. But now you are a teacher and I know that this addition is 32 Competence in four removed six products of others, and there are up to fifteen.
The 5 times table is not nearly as remarkable as I can see and hear the memories of my youth, when I counted "5, 10, 15, 20, 25, 30, 35, 40 ..." I'm sure you can too. However, consider the 5 times a bit 'more closely. For example, learning 5 x 6 is easy because we know that our 4-times table. (If youhave not noticed, we are learning new material on the existing material. Now you can understand why it is difficult to make progress in mathematics, if you have a weak base.) Therefore, 5 x 6 (4 x 6) + 6, which is 24 + 6 = 30 This is the way in which to create the table in our mind. Once the neural circuits are wired, we will never have problems again with this table.
This eliminates five other products, and now we are left with ten. A-6 of the table. You have it. We experience this as a doublingour 3 times. Then, 6 x 8 is double 3 x 8, you know, is 24 So, 6 x 8 is 24 + 24, which is 48th Aha! I see those light bulbs going on around them.
Now we come to the finish. Having rid of the 6 we are left with just six products: 7 x 7, 7 x 8, 7 x 9, 8 x 8, 8 and 9 x 9 x 9 How can we master our 7's? Yes, our 6 friends. Thus, 7 x 7 (6 x 7) + 7, which is 42 + 7 = 49 How do our 8 is? Exactly. Redouble our four friends. So 8 x 9 x 4 is double9 or 36 + 36 = 72 We are, finally, with 9 x 9, 81 is on the left.
Looking at the table in this way you will see that learning multiplication facts is not so difficult after all. Also, you gave a different perspective to learn something about mathematics. Although some mental energy it took to achieve what we have done here, you can be sure that the effort to condemn the dividends for the rest of your life. In fact, after mastering the basics, youhave taken the first step towards conquering the whole of mathematics mathematics. Welcome to my world.
Read more articles page articles on my page and get some mental exercise here with these problems Problem of the Week and Cool cool puzzles.
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