Use the Trachtenberg speed system to multiply 98834 by 11

Method

 * 1) Write out the calculation to be performed as \( \underline{098834} \times 11\), with a leading zero placed in front of the number to be multiplied by 11.
 * 2) Note that the 4 on the right has no neighbouring digit to its right.
 * 3) Therefore, with the previous step in mind, perform the addition \(4+0=4\) and write 4 as the rightmost digit of the answer like this: \[ {\:\:\:\:098834\over \qquad \qquad \: 4}\]
 * 4) With the first pair of digits, perform the addition \(3+4=7\) and write 7 as the next digit of the answer like this: \[ {\:\:\:\:\: 098834\over \qquad \; \; \: \: \: \: \: \: \: 74}\]
 * 5) With the next pair of digits, perform the addition \(8+3=11\).
 * 6) Write 1 as the next digit of the answer like this: \[ {\:\:\:\:\: 098834\over \qquad \; \, \: \: \: 174}\]
 * 7) Carry over a 1 for the next column by placing a single dot up high in front of the 1 that you just placed, like this: \[ {098834\over \: \: \: \: \: \: \: \: \: \, ^{^{^{.}}}174}\]
 * 8) With the next pair of digits, perform the addition \(8+8=16\).
 * 9) Add on the 1 that was carried over to this 16 to get 17.
 * 10) Write 7 as the next digit of the answer like this: \[ {098834\over \:\:\:\:\,\, 7^{^{.}}174}\]
 * 11) Carry over a 1 for the next column by placing a single dot up high in front of the 7 that you just placed, like this: \[ {098834\over \:\:\: ^{^{^{.}}}7^{^{.}}174}\]
 * 12) With the next pair of digits, perform the addition \(9+8=17\).
 * 13) Add on the 1 that was carried over to this 17 to get 18.
 * 14) Write 8 as the next digit of the answer like this: \[ {\:\:\:\:098834\over 8^{^{.}}7^{^{.}}174}\]
 * 15) Carry over a 1 for the next column by placing a single dot up high in front of the 8 that you just placed, like this: \[ {\:\:\:\:\:\:\:098834\over ^{^{^{.}}}8^{^{.}}7^{^{.}}174}\]
 * 16) With the last pair of digits, perform the addition \(0+9=9\).
 * 17) Add on the 1 that was carried over to this 9 to get 10.
 * 18) Write 10 as the next two digits of the answer like this: \[ {\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:098834\over 10^{^{.}}8^{^{.}}7^{^{.}}174}\]
 * 19) Write the final answer as \(1087174\).

Navigation

 * Use the Trachtenberg speed system of basic mathematics to multiply by 11
 * Trachtenberg speed system of basic mathematics
 * Mathematics
 * Topics (listed alphabetically)