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You don't really times two numbers, you can however find the product of two numbers. Anyways, there are a number of tricks, but the easiest way is to break the number into easier pieces:



For example:


60 x 90 = (10 x 10) x (6 x 9) = 100 x 54 = 5400

We split the 10's out, because 10 x 10 is easy. And 6 x 9 is also easy.



60 x 12 = (6 x 10) x (4 x 3) = (2 x 3 x 10) x (2 x 2 x 3) = (2x2x2) x (3x3) x 10
=8 x 9 x 10 = 72 x 10 = 720

As you can see on this one, you had to keep breaking the numbers apart to find an easier combination, but ultimately it pans out. The problem is each time you break a number into more numbers, you are more prone to making a mistake trying to keep track of all the numbers.



Also, this method doesn't always work well, but it can still bemanageable:


11 x 12 = 11 x 4 x 3 = 44 x 3 or 33 x 4
You have to carry a digit now, and that's slightly harder to do. But you can still do it in your head. "4x3=12, carry the 1, 4x3=12+1 = 13, the answer is 132."


Sometimes though, it will be nearly impossible using this method:

33 x 77 = 3 x 11 x 7 x 11 = 21 x 112 = ???



Another method to make problems a little easier:

You can reduce a number by one factor:


33 x 7 = 11 x 3 x 7 = 10(21) + (21) = 210 + 21 = 231
If 3x7=21 is the factor, I basically extracted one factor to make the problem 10(21) and then just added that extracted factor back in. This takes a little longer to grasp than the above method.

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12y ago

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