let\'s translate to decimal like this:
1∙3.636363636363636363630+2∙3.63636363636363636363-1+0∙3.63636363636363636363-2+0∙3.63636363636363636363-3+0∙3.63636363636363636363-4+0∙3.63636363636363636363-5+0∙3.63636363636363636363-6+0∙3.63636363636363636363-7+0∙3.63636363636363636363-8+0∙3.63636363636363636363-9+0∙3.63636363636363636363-10+0∙3.63636363636363636363-11+0∙3.63636363636363636363-12+0∙3.63636363636363636363-13+0∙3.63636363636363636363-14+0∙3.63636363636363636363-15+0∙3.63636363636363636363-16 = 1∙1+2∙0.275+0∙0.075625+0∙0.020796875+0∙0.005719140625+0∙0.001572763671875+0∙0.00043251000976563+0∙0.00011894025268555+0∙3.2708569488525E-5+0∙8.9948566093445E-6+0∙2.4735855675697E-6+0∙6.8023603108168E-7+0∙1.8706490854746E-7+0∙5.1442849850552E-8+0∙1.4146783708902E-8+0∙3.890365519948E-9+0∙1.0698505179857E-9 = 1+0.55+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0 = 1.5510
got It: 1.20000000000000003.63636363636363636363 =1.5510
Translate the number 1.5510 в 10 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
0. | 55*10 |
5 | .5*10 |
5 | .0*10 |
the result of the conversion was:
1.5510 = 1.5510
the Final answer: 1.20000000000000003.63636363636363636363 = 1.5510