単位 and 基準: units for quantities and criteria for judgment
Compare boxes, item counts, and length units with evaluation criteria, keeping units attached to the numbers you read.
A unit for expressing an amount
単位, read たんい, means a unit used to count or express quantity. この表では、長さの単位はセンチメートルです。 says that lengths in this table are measured in centimeters.
一箱に十個入っています。三箱注文しました。 says that each box contains ten items and three boxes were ordered. Separating boxes from individual items gives thirty items ordered.
A criterion for judgment or comparison
基準, read きじゅん, means a criterion for judgment or comparison. 採点の基準を説明しました。 says that the marking criteria were explained.
この商品は基準を満たしています。 says that the product meets the criteria. Earlier explanation or relevant information identifies which criteria apply.
The same number under different standards
単位を確認せずに数字だけを比べないでください。 asks someone not to compare bare numbers without checking units. Values expressed in different units are not automatically equal quantities.
基準が変わったので、同じ点数でも評価が違います。 says that the criteria changed, so the same score receives a different evaluation. Check the unit of the number and the evaluation rule separately.
If a box contains ten items and three boxes are ordered, are there three items?
Show the answer and why
No. There are three boxes and thirty items. Distinguish 箱 from 個 as units.