Here are examples of the word/phrase "modicum" used in a sentence and paraphrased in a sentence...
Going from having no hope to having a modicum of hope is like finding illumination at the end of a long tunnel.
Going from having no hope to having an iota of hope is like finding illumination at the end of a long tunnel.
A lot of mangaka tend to only get a modicum of sleep every day.
A lot of mangaka tend to only get a small amount of sleep every day.
I only need a modicum of gold to finally purchase this item.
I only need a scintilla of gold to finally purchase this item.
Other Examples...