Use the Trachtenberg speed system of basic mathematics to multiply 8234 by 6

Method

 * 1) Write out the calculation as \( \underline{08234} \times 6 \), with a leading zero placed at the front of the number to be multiplied.
 * 2) Find the last digit of the answer.
 * 3) The rightmost digit, 4, is an even number and has no neighbour to its right so write 4 as the rightmost digit of the answer like this: \({08234 \over \:\:\:\:\:\:\:\:\:\:\:\:\, 4}\)
 * 4) Find the second last digit of the answer and carry a one.
 * 5) The next digit, 3, is an odd number so add 5 to it to get 8.
 * 6) Consider the neighbour to the right of the 3 which is 4.
 * 7) Divide this 4 by 2 and round down to the nearest whole number to get 2.
 * 8) Add this 2 to the 8 to get 10.
 * 9) Write the next digit of the answer as 0 like this: \({08234 \over \:\:\:\:\:\:\:\:\:\, 04}\)
 * 10) Carry the 1 over to the next column by placing a single dot up high in front of the 0 that you just wrote, like this: \({08234 \over \:\:\:\:\:\:\:\: ^{^{.}}04}\)
 * 11) Find the third last digit of the answer.
 * 12) Note that the next digit, 2, is an even number and so doesn't need to have a 5 added to it.
 * 13) Consider the neighbour to the right of the 2 which is 3.
 * 14) Divide this 3 by 2 and round down to the nearest whole number to get 1.
 * 15) Add this 1 to the 2 to get 3.
 * 16) Add the 1 that was carried over to this 3 to get 4.
 * 17) Write the next digit of the answer as 4 like this: \({08234 \over \:\:\:\, 4^{^{.}}04}\)
 * 18) Find the fourth last digit of the answer.
 * 19) Note that the next digit, 8, is an even number and so doesn't need to have a 5 added to it.
 * 20) Consider the neighbour to the right of the 8 which is 2.
 * 21) Divide this 2 by 2 and round down to the nearest whole number to get 1.
 * 22) Add this 1 to the 8 to get 9.
 * 23) Write the next digit of the answer as 9 like this: \({08234 \over 94^{^{.}}04}\)
 * 24) Find the fifth last digit of the answer.
 * 25) Note that the next digit, 0, is an even number and so doesn't need to have a 5 added to it.
 * 26) Consider the neighbour to the right of the 0 which is 8.
 * 27) Divide this 8 by 2 and round down to the nearest whole number to get 4.
 * 28) Add this 4 to the 0 to get 4.
 * 29) Write the fifth last digit of the answer as 4 like this: \({08234 \over 494^{^{.}}04}\)
 * 30) Write out the answer as \( 49404\).

Navigation

 * Use the Trachtenberg speed system of basic mathematics to multiply by 6
 * Use the Trachtenberg speed system of basic mathematics to multiply by 5, by 6 and by 7
 * Use the Trachtenberg speed system of basic mathematics
 * Mathematics