The-number-2-13-expressed-as-a-decimal-is-0-153846153846-The-200th-and-300th-digits-are-

Question Number 145393 by physicstutes last updated on 04/Jul/21

The number \frac{2}{13} expressed as a decimal is 0.153846153846 \dots

The 200 th and 300 th digits are ?

Answered by mr W last updated on 04/Jul/21

m o d (200, 6) = 2

\Rightarrow 200 t h d i g i t i s 5

m o d (300, 6) = 0

\Rightarrow 300 t h d i g i t i s 6

Answered by Olaf_Thorendsen last updated on 04/Jul/21

x = \frac{2}{13} = 153846 (10^{- 6} + 10^{- 12} + 10^{- 18} + \dots)

200 = 6 \times 33 + 2

The 200 th is the same than the 2 nd

decimal : 5

300 = 6 \times 49 + 6

The 300 th is the same than the 6 th

decimal : 6

Commented by physicstutes last updated on 04/Jul/21

thank your sirs