The difference between Gradatim and In order
Gradatim is also adverb with the meaning: step by step.
In order is also adjective with the meaning: in a sequence.
check bellow for the other definitions of Gradatim and In order
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Gradatim as an adverb (obsolete):
step by step; gradually and methodically.
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In order as an adjective:
In a sequence.
Examples:
"Place the cards in order by color, then by number."
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In order as an adjective:
Ready, prepared; orderly; tidy.
Examples:
"I wish I could get my desk in order."
"His material is in order for the presentation."
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In order as an adjective (idiomatic, formal):
In accordance with the procedural rules governing formal meetings of a deliberative body.
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In order as an adjective (idiomatic):
Appropriate, worthwhile.
Examples:
"Now that we have finally finished, I think a celebration is in order."
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In order as an adverb (not comparable, idiomatic, with ''to''):
Examples:
"She stood in order to see over the crowd.'' / ''She stood to see over the crowd."
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In order as an adverb (not comparable, idiomatic, US, with "for"):
Examples:
"She stood in order for her husband to see her.'' / ''She stood for her husband to see her."
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In order as an adverb (comparable):
In sequence.
Examples:
"They sang in order, ending with a basso profundo."