let\'s translate to decimal like this:
1∙10.00000000010+5∙10.0000000001-1+0∙10.0000000001-2+0∙10.0000000001-3+0∙10.0000000001-4+0∙10.0000000001-5+0∙10.0000000001-6+0∙10.0000000001-7+0∙10.0000000001-8 = 1∙1+5∙0.099999999999+0∙0.0099999999998+0∙0.00099999999997+0∙9.9999999996E-5+0∙9.9999999995E-6+0∙9.9999999994E-7+0∙9.9999999993E-8+0∙9.9999999992E-9 = 1+0.499999999995+0+0+0+0+0+0+0 = 1.49999999999510
got It: 1.5000000010.0000000001 =1.49999999999510
Translate the number 1.49999999999510 в 10.00000000 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
0. | 499999999995*10.00000000 |
4 | .0*10.00000000 |
9 | .0*10.00000000 |
9 | .0*10.00000000 |
9 | .0*10.00000000 |
9 | .0*10.00000000 |
9 | .99999*10.00000000 |
9 | .99995*10.00000000 |
9 | .9995*10.00000000 |
9 | .995*10.00000000 |
9 | .95*10.00000000 |
the result of the conversion was:
1.49999999999510 = 1.499999999910.00000000
the Final answer: 1.5000000010.0000000001 = 1.499999999910.00000000