To accept or believe entirely, immediately, and without questioning.(verb)
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Use "eat up" in a sentence
"Commutation would eat up a third of what she earned."
"She drove carefully as the road wound down the slope of a mountain called Iron, switchbacking this way and that to eat up the steep elevation."
"To make this rule by division workable, the cunning slaver Zubair Rahmat must be kept out of the Sudan, preferably at Cyprus, or he “would in no time eat up all the petty Sultans and consolidate a vast state.”"