2024-12-16 11:04 UTC
5/7
Lastly, Expressions. Expressions are made up of operators and operands (Terms/Products/Monomials). So, 1÷2 is an expression, 1 divided by 2, whereas ½ is a single term, grouped by a vinculum. In a single line we can represent the latter by putting it in brackets, (1÷2). It's important to understand that a Pronumeral CANNOT CONTAIN AN OPERATOR, UNLESS it's in Brackets, otherwise that would make it an Expression, NOT a Term. So 1÷2(b+c)=1÷(2b+2c), whereas (1÷2)(b+c)=(½b+½c)...
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@SmartmanApps@dotnet.social 2024-12-16 11:05
6/7 And one of the big issues there is some people - even some textbooks(!) - calling a Term "an Expression", but then ALSO calling an Expression "an Expression"! This is relevant to the pre-20th Century definition of Division, which was everything (the EXPRESSION) to the left divided by everything (the EXPRESSION) to the right, but then, sometime before the late 19th Century, it was changed to the TERM to the left divided by the TERM to the right....