multiplication is just times or x like 1x1=1
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There is no easy way as such. You can use websites to learn it. A good way is to buy a book and go through it carefully. While they are good, it is not easy to resolve problems when you encounter them. So the best way is to get someone to show you how. The best way of doing that is to go on a course and get someone to teach you. There is a lot to learn that only a tutor can teach you. They can assess your ability and give you help and any other information you need, something that books and websites can't really do.
Well, whatever you do, you'll have to learn. The easiest way to learn some basics is to use a high level programming language such as, Perl, PHP, Ruby, Python etc.. (very long list).
The answer to this question depends on the multiplication algorithm you are working with. If you are working with an algorithm for multiplying fractions, the answer of why it works the way it does is going to be different than if you are multiplying whole numbers. If you are looking to explain multiplication algorithms to young children (and even to explain algorithms to older children or to better understand them yourself), it is useful to use physical objects and play with multiplication. Once you work out a few of the type of problem you are doing (or a scaled down version if you are working with large numbers) it will likely become clearer to you why it works the way it does.
easy way
Take a course on mathematical logic at the nearest college.