Why do you multiply by a power of 10 when writing a repeating decimal as a rational number?

Question

asked Oct 10, 2023 186k views

1 Answer

Andreas Pardeike · Answer 1 · 2023-10-17T03:18:50+0000

Answer: So that when we subtract the original number from the multiple, the repeating part cancels out. If we multiply by 10, we get 10x = 2.

Explanation: