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“This video. I m going to show you the process of multiplication that i have have taught my kids. This is a way that i actually learned growing up not school. But it s one method that i learned and i just fell in love with it cuz.
It was so much easier than the traditional way that everyone else was being taught pretty much i m going to first start by showing you maybe the drawbacks of the current method current method of multiplication as probably most people have done you have six times five the answer would be 30. So you put the zero in the ones place. And you put the little three up here then you multiply 3 times 6. You get 18.
Then you add the 3 so you end up with 21 now when you start down here you have to put your 0. There so you can start over here 7 times 5 is 35 so you put your 5 here. And luckily we have the same number but usually you would do something like that 7 times. 3 is 21.
You multiply and then you add the 3 here so you have 24 you add it all together get your answer now if this answer were wrong and be kind of hard to figure out where in here you ve gone wrong. Because you had to multiply multiply. Then add multiply multiply add and so you ve changed operation several times and this doesn t resemble any of these products here the method that i use puts all those operations in a little bit better. Order instead of doing multiplication in addition multiplication and addition multiplication in addition you finally get your answer you do all of your multiplication.
First. Then you do all of your addition at the end in addition to that you have all the products in between so you can check your answers let me show you what i mean in this method. 6 times..
5. Obviously is still 30. But instead of putting one digit down here and the other one up. Here.
You re going to go ahead and write the whole number here 36 times. 3 is 18. But we re really doing 6 times 3 10. So what the answer is 18 10.
We re going to put 18 in the tens place and we re going to put a placeholder here now to zero. But kind of a placeholder. The easiest way to think of that is when you do six times three the answer simply. 18.
You count the number of digits following the numbers or multiplying in this case. Five is the only number that follows these two numbers. There were multiplying. So we know the answer is 18.
And there s one placeholder. Then you come down to this next step. Seven times five is thirty five there s one placeholder because it s really seventy times..
Five. So. The answer would be 35 seven times five is thirty five one placeholder seven times three is twenty one then you count how many numbers are following it there are two numbers following it so you re going to have two placeholders this time. And you have the twenty one down here.
Again. The answer is exactly the same as it was before but this time if you made a mistake you could go back through and look quickly to see where your problem was six times five is thirty eighteen thirty five and twenty one additionally you have this pattern. Here. There are no placeholders.
There s one placeholder then there s one into if there were more digits. Here you d have another pattern. You have two and then three then three and then four there s a definite pattern. You see there if we move on to even larger numbers in this let s say a three digit number 324 times.
88. You re going to really see the pattern here 4 times. 8. Is 32.
And you have 8 times. 2. Which is 16 in the count..
There s one number after it so we re going to put one placeholder. There just simply write. 16. And then spaces to the left of that 8 times.
3. Is 24 see there s two placeholders. So we re just going to put two placeholders and 24 let me come down here 8 times. 4.
Is 32. One placeholder so you see our pattern begins again 8 times 2 is 6. You have two placeholders 8 times 3 24. And you have 3 placeholders this time this time.
When you add everything together there you go again. Checking your answer you see first of all you have the pattern. There s no place older. 1.
And then 2 1 into 2 and then 3. And if it kept going. It would be 2 3..
4. 3. 4. 5.
There would be that kind of a visual pattern. But you have your products here 32 16. 24. 32.
16. 24. So you can see exactly that if you made a mistake. It s not here in these partial products at all so again.
The great benefit of doing. This is you re doing all your multiplication first then doing one round of addition instead of the old way. Which would be multiply put the number up here multiply it add you put your number up here. Multiply and add.
And there s lots of mixing up like that and then you also in the old way you just don t have these partial products here where you can really pinpoint where the problem is ” ..
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Struggling with multiplication? Maybe it s because of the way you were taught to multiply.
The partial products method of multiplication is a much better way to multiply because it simplifies the process of operations, reducing the opportunity for errors, and allows for easy re-checking of answers.
See http://www.youtube.com/watch?v=7NkVYLJ1nfw for A Better Way to Divide: Short Division.
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