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What is the 2007th digit to the right of the decimal point in the decimal expansion of 4/7?

 Dec 27, 2021
 #1
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Let 5 be 1, 7 = 2, 1 = 3,  4 = 4,  2 = 5,  8 = 6

 

The closest we can get to 2007 with 6 is with the number 334 which when multiplied by 6 is 2004. That makes a remainder of 3. 

 

If the 6 mark as we said was 8, 3 more starting from the beginning would leave us with 1.

 

From here you can see it. 

 

1 is the 2007th digit to the right of the decimal point in the decimal expansion of 4/7. 

 

Answer = 1

 

I hope this helped! 

 Dec 27, 2021
edited by Guest  Dec 27, 2021
 #2
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4/7 ==0.5714285...........has a period of "6", which means it repeats every 6 digits after the decimal point.

 

2007 mod 6 ==3 - which means it is the 3rd digit after the decimal point, which is a "1"

 Dec 27, 2021

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