
arithmetic - What are the formal names of operands and results for ...
My questions: I've heard addend used generally for addition operands. Is that correct formal usage? Do subtraction and division lack general names for their operands because they are not commutative? …
logic - How is addition defined? - Mathematics Stack Exchange
In this construction addition could (?) be defined as the disjoint union of the sets associated with the two numbers. Then the integers could be defined as the additive inverse and so forth.
Factorial, but with addition - Mathematics Stack Exchange
Apr 21, 2015 · Factorial, but with addition [duplicate] Ask Question Asked 12 years, 4 months ago Modified 6 years, 8 months ago
arithmetic - Does the order of operations matter with just addition and ...
Yes, addition and subtraction are commutative: The operations can be performed in any order. Yes, addition and subtraction are associative: The terms can be grouped in any order before conducting …
How do we define addition? - Mathematics Stack Exchange
Jul 5, 2024 · How can you define addition using the $+$ symbol, isn't that against the purpose of a definition? Whilst doing further research I managed to find the following article: How is addition …
elementary set theory - What does "closed under ..." mean ...
Mar 1, 2016 · A set is closed under addition if you can add any two numbers in the set and still have a number in the set as a result. A set is closed under (scalar) multiplication if you can multiply any two …
Set Addition vs. Set Union - Mathematics Stack Exchange
Feb 1, 2014 · Set Addition vs. Set Union Ask Question Asked 12 years, 2 months ago Modified 6 years, 10 months ago
Order of operations - why are they in the order they're in?
Multiplication is just grouped addition: 5*3 = 5+5+5 So, exponentials are grouped multiplication which is grouped addition. When you solve exponential terms out all the way, you are just left with a bunch of …
Proving the definition of addition - Mathematics Stack Exchange
Working with this definition we see that $$ 1+1=1' $$ showing that the first property of addition is fulfilled. Now, by the same definition we have that $1+y=y'$ which by axiom 2 and 4 is equivalent to $ (1+y)'= …
Multiplication as repeated addition - Mathematics Stack Exchange
Aug 31, 2022 · This doesn't answer your entire question about multiplication of more complicated numbers, but perhaps it can still offer an interesting perspective on multiplication as repeated …