Multiply - The 11 Rule Expanded

You can directly write down the answer to any number multiplied by 11.

Take for example the number 51236 X 11.

First, write down the number with a zero in front of it.
051236
The zero is necessary so that the rules are simpler.

Draw a line under the number.

It is simple if you work through it slowly. To do this, all you have to do this is "Add the neighbor". Look at the 6 in the "units" position of the number. Since there is no number to the right of it, you can't add to its "neighbor" so just write down 6 below the 6 in the units column.

For the "tens" place, add the 3 to its "neighbor" (the 6). Write the answer: 9 below the 3.

For the "hundreds" place, add the 2 to its "neighbor" (the 3). Write the answer: 5 below the 2.

For the "thousands" place, add the 1 to its "neighbor" (the 2). Write the answer: 3 below the 1.

For the "ten-thousands" place, add the 5 to the its "neighbor" (the 1). Write the answer: 6 below the 5.

For the "hundred-thousands" place, add the 0 to the its "neighbor" (the 5). Write the answer: 5 below the 0.

That's it ... 11 X 051236 = 563596

Practice it on paper first!