There are many tricks to learning multiplication tables. One is the rhyme '8 times 8 fell on the floor and when it woke up it was 64'. Another is to know that all the nine multiplication tables add up to 9 up to 9 times 10.
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For primary school (elementary) students, you should have a goal of learning your multiplication tables. For secondary school (high school) students, you should have a goal of mastering algebra.
You can head on over to mathsisfun.com/tables. They give out a lot of valuable information regarding math facts and tables. You can also head on over to math.about.com, they also give out a lot of valuable information.
lattice math is a silly way to do multiplication. I recommend you not to do it.
The product is the "sum" of a multiplication math problem.
power then multiplication