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I whole-heartedly agree with this. We should explicitly say what we mean. But this creates the usual problem with dimensionless units... when students are making sure "the units come right" the units in fact won't "come out right" because there is nothing to cancel the dimensionless unit that we explicitly wrote into the paperwork. Students have difficulty dealing with this, and I typically don't have a good solution other than telling them just to learn to live with it.