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Monday, July 18, 2016

Multiplying Hundreds And More By 11 Without Using Calculator






In mathematics, multiplying numbers by 11 is something you do not really need a calculator to do. The explanation below clearly explain how you can multiply hundreds of number by 11, and get the answer without using the calculator. Enjoy.


Multiplying Hundreds and more by 11
In order for you to multiply hundreds (that is 3 digit number or more) by 11 without you using the calculator to get the answer, all you need to is place the addition of the numbers in the middle of the first that the last digit. For simplicity, we recommend do the addition from right to left. Example.

100x11 = (1 and 0 is the first and the last digit respectively. So 0+0=0, 0+1=1. so the answer will be the first digit 1 followed by the result of 0+1 which is 1, follow by the result of 0+0 which is 0 follow by the last digit which is 0) 1100

236x11 = (2 which is the first digit followed by the result of 2+3 which is 5 followed by the result of 3+6 which is 9 followed by 6 which is the last digit) 2596


But in a situation where the addition result in 10 or greater, then the first digit of the result will be add to the result of next addition. This is why we recommended that you do the addition from right to left. Example

239x11 = [9 which is the last digit, followed by the result of 3+8 which is 12,(in this case, 1 from will be added to the result of 2+3) so the figure that will follow 9 which is the last digit is 2 and not 12, followed by the result of 2+3+1 which is 6, followed by 2, which is the last digit] 2629

Example Two: In this example, we want to do the addition from left to right.
239 = [2 which is the first digit, followed by the result of 2+3 which is 5, followed by the result of 3+9 which is 12 (since the result of 3+9 is two digit, we are going to add the first digit of this result which is 1 to the result of the previous addition 2+3 which is 5. So the result of 2+3 will not be 6 and not 5 while the result of 3+9 will be 2 and not 12) followed by 9 which is the last digit.] 2629

But in a situation where the addition that resulted in 10 or greater is that addition of the two last digit on the left, then, the first figure will be added to the first digit of that is being multiplied. EXAMPLE

In this example, we are adding from the right side
753 = [3 which is the last digit, followed by the result of 5+3 which is 8, followed by the result of 7+5 which is 12 (in this case, we are going to add 1 which is the first figure of the result of 7+5 to the first digit which is 7 to make 8. so the result of 7+5 will now be 2 and not 12, while the first digit will now be 8 and not 7)] 8283

In  this second example, we are adding from the left side
753 = [7 which is the first digit, followed by the result of 7+5 which is 12 (in this case that the result is tens and not unit, we are going to add the first figure of the result to the first digit, so the first digit will no longer be 7 but 8 and the result of 7+5 will not be 12 but 2) followed by the result of 5+3 which is 8 followed by the last digit which is 3] 8283


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