Question

The last digit in the finite decimal representation of the no. 1/5^2003​

Answer 1

Step-by-step explanation:

U = (1/5)²⁰⁰³ = (0.2)²⁰⁰³ = (0.2)³ (Cyclicity of 2 is 4)

The unit digit of U will be 8

Answer 2

Answer:

Answer must be 8.

Step-by-step explanation:

(1/5)^2003

= (0.2)^2003

= (0.2)^2000+3

= (0.2)^3. (0.2)^2000

= 0.8.

So 8 must be unit digit.

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