Terminating Decimal

Number Theory Level 1

In a terminating decimal 0.432654326543265...

Guess the 9765th decimal digit


The answer is 5.

Leonardo Fajardo by Leonardo Fajardo , 31, Philippines

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3 solutions

Tushar Kaushik
Sep 26, 2015

The fifth digit is 5 for all from first digit

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Lucas Haddad
Oct 25, 2015

The fifth digit is 5, for every decimal digit that is divisible for 5 and not for 2, it will be 5.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
. .
May 17, 2021

0.4326543265432654326543265 ⋯ = 0. 4 ˙ 326 5 ˙ \displaystyle 0.4326543265432654326543265\cdots = 0.\dot 4 326 \dot 5 .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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