57^(th) digit in decimal expansion

In summary, the 57th digit in the decimal expansion of 57 is 0 and can be determined by counting the digits from left to right or using mathematical formulas. It will always be 0 regardless of the number's base or rounding rules. It cannot be a fraction as it refers to the decimal representation of the number.
  • #1
juantheron
247
1
Calculation of $57^{th}$ digit in the decimal expansion of $\displaystyle \frac{1}{57}$
 
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  • #2
jacks said:
Calculation of $57^{th}$ digit in the decimal expansion of $\displaystyle \frac{1}{57}$

If you are allowed mod calculation and Euler's phi function, you can use >>this<<.
It gives you the period of the decimal expansion, meaning it suffices to calculate a decimal that comes much earlier in the expansion.
 

FAQ: 57^(th) digit in decimal expansion

What is the 57th digit in the decimal expansion of 57?

The 57th digit in the decimal expansion of 57 is 0.

How is the 57th digit in the decimal expansion of a number determined?

The 57th digit in the decimal expansion of a number can be determined by writing out the number in its decimal form and counting the digits from left to right. Alternatively, it can be calculated using mathematical formulas.

Is the 57th digit always the same in the decimal expansion of 57?

Yes, the 57th digit in the decimal expansion of 57 will always be 0 regardless of the number's base or the method used to determine it.

What happens if the 57th digit in the decimal expansion of 57 is rounded?

If the 57th digit in the decimal expansion of 57 is rounded, it will either stay the same or round up to the next digit depending on the rounding rules being used.

Can the 57th digit in the decimal expansion of 57 be a fraction?

No, the 57th digit in the decimal expansion of 57 will always be a whole number. Fractions and decimals are two different ways of representing numbers, and the 57th digit refers specifically to the decimal representation.

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