221k views
2 votes
Why do you multply by a power of 10 when writing a repeating decimal as a fraction

1 Answer

4 votes

The goal is to multiply by a certain number (10, 100, 1000, etc.) so that when the original number is subtracted from the multiple, the repeating element cancels out. 10x = 2 is the result of multiplying by ten.

User Guilherme Trivilin
by
7.7k points

Related questions

asked Dec 19, 2024 76.9k views
Hans Henrik Eriksen asked Dec 19, 2024
by Hans Henrik Eriksen
8.0k points
2 answers
4 votes
76.9k views
asked Sep 22, 2024 226k views
Peter DeGlopper asked Sep 22, 2024
by Peter DeGlopper
8.0k points
1 answer
3 votes
226k views