Use the Trachtenberg speed system to multiply 63247 by 12

Method

 * 1) Write out the calculation as \(\underline{063247} \times 12 \) with a leading zero placed at the front of the number to be multiplied.
 * 2) Note that 7 does not have a neighbouring digit to the right of it.
 * 3) Therefore, double the 7 to get 14 and add nothing to it.
 * 4) Write 4 as the first digit of the answer like this: \({063247 \over \: \: \:\: \: \:\: \: \: \: \: \: \: \: \, 4}\)
 * 5) Carry the 1 over into the next column by adding a single dot up high in front of the 4 that was just written, like this: \({063247 \over \: \: \:\: \: \:\: \: \: \: \: \: ^{^{^{.}}}4}\)
 * 6) For the first pair of digits, double the 4 to get 8.
 * 7) Add 7 to this 8 to get 15.
 * 8) Add on the 1 that was carried over to get 16.
 * 9) Write 6 as the next digit of the answer like this: \({063247 \over \: \: \:\: \: \:\: \: \, 6^{^{.}}4}\)
 * 10) Carry the 1 over into the next column by adding a single dot up high in front of the 6 that was just written, like this: \({063247 \over \: \: \:\: \: \: \, ^{^{^{.}}}6^{^{.}}4}\)
 * 11) For the next pair of digits, double the 2 to get 4.
 * 12) Add 4 to this 4 to get 8.
 * 13) Add on the 1 that was carried over to get 9.
 * 14) Write this 9 as the next digit of the answer like this: \({063247 \over \: \: \: 9^{^{.}}6^{^{.}}4}\)
 * 15) For the next pair of digits, double the 3 to get 6.
 * 16) Add 2 to this 6 to get 8.
 * 17) Write this 8 as the next digit of the answer like this: \({\: \: 063247 \over \, 89^{^{.}}6^{^{.}}4}\)
 * 18) For the next pair of digits, double the 6 to get 12.
 * 19) Add 3 to this 12 to get 15.
 * 20) Write 5 as the next digit of the answer like this: \({\: \: \:\: 063247 \over 589^{^{.}}6^{^{.}}4}\)
 * 21) Carry the 1 over into the next column by adding a single dot up high in front of the 5 that was just written, like this: \({\: \: \:\: \: \:\: 063247 \over ^{^{^{.}}}589^{^{.}}6^{^{.}}4}\)
 * 22) For the last pair of digits, double the 0 to get 0.
 * 23) Add 6 to this 0 to get 6.
 * 24) Add on the 1 that was carried over to get 7.
 * 25) Write this 7 as the next digit of the answer like this: \({\: \: \:\: \: \:\: \:\: \: \: 063247 \over 7^{^{.}}589^{^{.}}6^{^{.}}4}\)
 * 26) Write the final answer as \( 758964 \).

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