Question

Part A: is repeating 0.571428 the decimal equivalent of 4/7? Explain your reasoning.

Answer 1

Yes, it is. You can simply input 4/7 in a calculator to see that the answer is

`(4)/(7) = 0.571428571428571428\ldots`

In other words, the 6-period digits 571428 keep repeating after the decimal point: we write this as

`(4)/(7) = 0.\overline{571428}`