Michael surely deserves a gold-star for asking this years most difficult to answer simple question. He asked:
Has Bosch really changed the tool shank diameter from 3.175mm [1/8”] to 3.2mm, or are they just incapable of expressing numbers to 3 decimal places ???
Although the question can be interpreted in a simplistic way, I suggest Michael’s cracker has hidden depths! They include:
- Fractions versus decimals
- The accuracy of decimal notation and how to represent it
- The correct way to round decimal numbers, and when not to!
- The difference between decimal numbers as used in day-to-day maths, and specialist applications like engineering, manufacturing, and science.
- Metric versus Imperial and the evil resulting from converting between them
Stuff we take for granted today, but took millennia of painfully slow hard work to understand.
Fractions and decimals take us to the concept of the number line; what are numbers, how accurate are they, and what operations can be performed on them? (Add, subtract, divide, multiply and many others). Just dipping into the subject as applied to Michael’s example reveals there’s a lot to it. This is what I remember being taught aged 11 or so:
After we leave school these rules fade because most ordinary sums are “good enough” without applying them. Doesn’t mean they don’t matter though! In Michael’s example Bosch misjudged their audience; I blame their Sales Department!
I won’t go any deeper. The subject is endless, not many Model Engineers are interested in maths, and my skills are superficial.
Dave