Use the Trachtenberg speed system of basic mathematics to multiply 6250188 by 6

Method

 * 1) Write out the calculation as \( \underline{06250188} \times 6 \), 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, 8, is an even number and has no neighbour to its right so write 8 as the rightmost digit of the answer like this: \({06250188 \over \:\:\:\:\:\:\:\:\:\:\:\:\, 8}\)
 * 4) Find the second last digit of the answer and carry a one.
 * 5) Note that the next digit, 8, is an even number and so doesn't need to have a 5 added to it.
 * 6) Consider the neighbour to the right of the 8 which is 8.
 * 7) Divide this 8 by 2 and round down to the nearest whole number to get 4.
 * 8) Add this 4 to the 8 to get 12.
 * 9) Write the next digit of the answer as 2 like this: \({06250188 \over \:\:\:\:\:\:\:\:\:\, 28}\)
 * 10) Carry the 1 over to the next column by placing a single dot up high in front of the 2 that you just wrote, like this: \({06250188 \over \:\:\:\:\:\:\:\: ^{^{.}}28}\)
 * 11) Find the third last digit of the answer and carry a one.
 * 12) The next digit, 1, is an odd number so add 5 to it to get 6.
 * 13) Consider the neighbour to the right of the 1 which is 8.
 * 14) Divide this 8 by 2 and round down to the nearest whole number to get 4.
 * 15) Add this 4 to the 6 to get 10.
 * 16) Add the 1 that was carried over to this 10 to get 11.
 * 17) Write the next digit of the answer as 1 like this: \({06250188 \over \:\:\:\, 1^{^{.}}28}\)
 * 18) Carry the 1 over to the next column by placing a single dot up high in front of the 1 that you just wrote, like this: \({06250188 \over \:\:\:\, ^{^{.}}1^{^{.}}28}\)
 * 19) Find the fourth last digit of the answer.
 * 20) Note that the next digit, 0, is an even number and so doesn't need to have a 5 added to it.
 * 21) Consider the neighbour to the right of the 0 which is 1.
 * 22) Divide this 1 by 2 and round down to the nearest whole number to get 0.
 * 23) Add this 0 to the 0 to get 0.
 * 24) Add the 1 that was carried over to this 0 to get 1.
 * 25) Write the next digit of the answer as 1 like this: \({06250188 \over 1^{^{.}}1^{^{.}}28}\)
 * 26) Find the fifth last digit of the answer and carry a one.
 * 27) The next digit, 5, is an odd number so add 5 to it to get 10.
 * 28) Consider the neighbour to the right of the 5 which is 0.
 * 29) Divide this 0 by 2 and round down to the nearest whole number to get 0.
 * 30) Add this 0 to the 10 to get 10.
 * 31) Write the next digit of the answer as 0 like this: \({06250188 \over \:\:\:\, 01^{^{.}}1^{^{.}}28}\)
 * 32) 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: \({06250188 \over \:\:\:\, ^{^{.}}01^{^{.}}1^{^{.}}28}\)
 * 33) Find the sixth last digit of the answer.
 * 34) Note that the next digit, 2, is an even number and so doesn't need to have a 5 added to it.
 * 35) Consider the neighbour to the right of the 2 which is 5.
 * 36) Divide this 5 by 2 and round down to the nearest whole number to get 2.
 * 37) Add this 2 to the 2 to get 4.
 * 38) Add the 1 that was carried over to this 4 to get 5.
 * 39) Write the next digit of the answer as 5 like this: \({06250188 \over \:\:\:\, 5^{^{.}}01^{^{.}}1^{^{.}}28}\)
 * 40) Find the seventh last digit of the answer.
 * 41) Note that the next digit, 6, is an even number and so doesn't need to have a 5 added to it.
 * 42) Consider the neighbour to the right of the 6 which is 2.
 * 43) Divide this 2 by 2 and round down to the nearest whole number to get 1.
 * 44) Add this 1 to the 6 to get 7.
 * 45) Write the next digit of the answer as 7 like this: \({06250188 \over \:\:\:\, 75^{^{.}}01^{^{.}}1^{^{.}}28}\)
 * 46) Find the eighth last digit of the answer.
 * 47) Note that the next digit, 0, is an even number and so doesn't need to have a 5 added to it.
 * 48) Consider the neighbour to the right of the 0 which is 6.
 * 49) Divide this 6 by 2 and round down to the nearest whole number to get 3.
 * 50) Add this 3 to the 0 to get 3.
 * 51) Write the eighth last digit of the answer as 3 like this: \({06250188 \over \:\:\:\, 375^{^{.}}01^{^{.}}1^{^{.}}28}\)
 * 52) Write out the answer as \( 37501128\).

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