I’m a little confused by the wording in this standard. I thought I understood it until I started planning lessons around it:
“…for rational numbers show that the decimal expansion repeats eventually…”
Is this referring to those rational numbers who convert to repeating decimals only? Or is this suggesting that all rational numbers have decimal expansions that eventually repeat?
Perhaps the wording here was a little too compact. The point is that so-called terminating decimals are really just a special case of repeating decimals, in which the repeating pattern is 00000…. It was not intended to exclude terminating decimals.