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Well, darling, 11 times 10 equals 110. It's basic math, not rocket science. So, there you have it. Math lesson complete.
Ten times, with 10 left over. 11x10=110; 120-110=10.
11x1=11 11x2=22 11x3=33 11x4=44 11x5=55 11x6=66 11x7=77 11x8=88 11x9=99 11x10=111 Get the point?
Oh, isn't that a big number! When you raise 100 billion to the power of ten, you are multiplying 100 billion by itself ten times. It results in a truly magnificent number, a testament to the beauty of mathematics and the vastness of our imagination.
They do in fact follow the same pattern, but once you hit two digits, it gets a little more complicated. One way to look at it is to consider how the usual technique of simply doubling the digits works. Consider 7x11 - that will give you 77. Why though? It gives you 77 because you're taking the number seven, multiplying it by ten, and adding 7 more to it. Think of it this way: 7 x 11 is equal to: 7 x (10 + 1) Well that's easy then, you simply distribute the 7 over both of the terms in the brackets: 7 x (10 + 1) = 7 x 10 + 7 x 1 = 70 + 7 = 77 When you multiply 11 by another two digit number, it works the same way. Consider 11 times 23: 11 x 23 = 23 x (10 + 1) = 23 x 10 + 23 x 1 = 230 + 23 = 253 This in fact gives you another neat trick to use. When you're multiplying eleven by a two digit number, you can get the answer quickly by realizing that the first digit of the result will be the first digit of the given number, the last digit will be the last digit of the given number, and the middle digit will be the sum. If that sum is greater than nine, then you carry the addional one over to the hundreds column. For example: 23 x 11 = 2 [2 + 3] 3 = 253 or: 54 x 11 = 5 [5 + 4] 4 = 594 and: 98 x 11 = 9 [ 9 + 8 ] 8 = 9 [17] 8 = 10 [7] 8 = 1078 That same logic can be extended to even larger multiplications, but does become more complicated.