Use the Trachtenberg speed system of basic mathematics to multiply 443052 by 6

Method

 * 1) Write out the calculation as \( \underline{0443052} \times 6 \), 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 2 is an even number and has no neighbour to its right so write 2 as the rightmost digit of the answer like this: \({0443052 \over \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: 2}\)
 * 4) Find the second last digit of the answer.
 * 5) The next digit, 5, is an odd number so add 5 to it to get 10.
 * 6) Consider the neighbour to the right of the 5 which is 2.
 * 7) Divide this 2 by 2 and round down to the nearest whole number to get 1.
 * 8) Add this 1 to the 10 to get 11.
 * 9) Write the next digit of the answer as 1 like this: \({0443052 \over \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\, 12}\)
 * 10) Carry the other 1 over to the next column by placing a single dot up high in front of the 1 that you just wrote, like this: \({0443052 \over \:\:\:\:\:\:\:\:\:\:\:\:\,\, ^{^{.}}12}\)
 * 11) Find the third last digit of the answer.
 * 12) Note that the next digit, 0, 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 0 which is 5.
 * 14) Divide this 5 by 2 and round down to the nearest whole number to get 2.
 * 15) Add this 2 to the 0 to get 2.
 * 16) Add the 1 that was carried over to this 2 to get 3.
 * 17) Write the next digit of the answer as 3 like this: \({0443052 \over \:\:\:\:\:\:\:\:\:\: 3^{^{.}}12}\)
 * 18) Find the fourth last digit of the answer.
 * 19) The next digit, 3, is an odd number so add 5 to it to get 8.
 * 20) Consider the neighbour to the right of the 3 which is 0.
 * 21) Divide this 0 by 2 and round down to the nearest whole number to get 0.
 * 22) Add this zero to the 8 to get 8.
 * 23) Write the next digit of the answer as 8 like this: \({0443052 \over \:\:\:\:\:\:\: 83^{^{.}}12}\)
 * 24) Find the fifth last digit of the answer.
 * 25) Note that the next digit, 4, 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 4 which is 3.
 * 27) Divide this 3 by 2 and round down to the nearest whole number to get 1.
 * 28) Add this 1 to the 4 to get 5.
 * 29) Write the next digit of the answer as 5 like this: \({0443052 \over \:\:\:\, 583^{^{.}}12}\)
 * 30) Find the sixth last digit of the answer.
 * 31) Note that the next digit, 4, is an even number and so doesn't need to have a 5 added to it.
 * 32) Consider the neighbour to the right of the 4 which is 4.
 * 33) Divide this 4 by 2 and round down to the nearest whole number to get 2.
 * 34) Add this 2 to the 4 to get 6.
 * 35) Write the next digit of the answer as 6 like this: \({0443052 \over 6583^{^{.}}12}\)
 * 36) Find the seventh last digit of the answer.
 * 37) Note that the next digit, 0, is an even number and so doesn't need to have a 5 added to it.
 * 38) Consider the neighbour to the right of the 0 which is 4.
 * 39) Divide this 4 by 2 and round down to the nearest whole number to get 2.
 * 40) Add this 2 to the 0 to get 2.
 * 41) Write the sixth last digit of the answer as 2 like this: \({\:\:\: 0443052 \over 26583^{^{.}}12}\)
 * 42) Write out the answer as \(2658312\).

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