Use the Trachtenberg speed system to multiply 413 by 12

Method

 * 1) Write out the calculation as \(\underline{0413} \times 12 \) with a leading zero placed at the front of the number to be multiplied.
 * 2) Note that 3 does not have a neighbouring digit to the right of it.
 * 3) Therefore, double the 3 to get 6 and add nothing to it.
 * 4) Write this 6 as the first digit of the answer like this: \({0413 \over \: \: \:\: \: \:\: \: \, 6}\)
 * 5) For the first pair of digits, double the 1 to get 2.
 * 6) Add 3 to this 2 to get 5.
 * 7) Write this 5 as the next digit of the answer like this: \({0413 \over \: \: \:\: \: \, 56}\)
 * 8) For the next pair of digits, double the 4 to get 8.
 * 9) Add 1 to this 8 to get 9.
 * 10) Write this 9 as the next digit of the answer like this: \({0413 \over \: \: \: 956}\)
 * 11) For the last pair of digits, double the 0 to get 0.
 * 12) Add 4 to this 0 to get 4.
 * 13) Write this 4 as the next digit of the answer like this: \({0413 \over 4956}\)
 * 14) Write the final answer as \( 4956 \).

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