端数 and 切り捨て: a remainder in an amount and discarding it
Distinguish a remainder in an integer amount from a specified discarding rule, then check the amount before and after processing.
A remainder relative to a grouping
端数, read はすう, means a remainder or leftover amount. 会計では端数の小銭まで正確に数えた。 reports accurately counting even the small coins in the remainder.
An integer amount of 1,234 yen has a four-yen remainder when grouped in tens of yen. 端数 is not limited to digits after a decimal point.
A policy to discard the specified part
切り捨て, read きりすて, means discarding a part. 金額は千二百三十四円です。十円未満の端数を切り捨てます。 specifies discarding the remainder below ten yen from 1,234 yen.
For this positive amount, discarding four yen leaves 1,230 yen. It does not specify discarding the whole amount or processing it in thousands of yen.
The existence of a remainder and a chosen action
端数があります。 reports that a remainder exists. It does not select a processing method or establish that discarding has occurred.
切り捨てた金額を確認してください。 requests checking the processed amount. Compare the specified place with the original instruction.
What remains after discarding the remainder below ten yen from 1,234 yen?
Show the answer and why
1,230 yen. The four-yen remainder is discarded, not the entire original amount.

