xy is a Term - Terms are separated by operators (none in this case) and joined by grouping symbols.
x(y) is a Bracketed Term, and is therefore subject to The Distributive Law, which is the first step in solving Brackets.
And yes, a multiplication symbol is an operator - which therefore separates Terms (which is why ab and axb aren’t the same thing - it’s 1 term vs. 2 terms), and the “M” in the mnemonics refers literally to multiplication signs, and nothing else.
the difference in implicit vs explicit? It’s the same operation
“implicit multiplication” isn’t even a real thing in Maths, and isn’t even multiplication to begin with - people use that umbrella term to either mean The Distributive Law - which is the first step is solving Brackets - or Terms, which are products, which is the result of a multiplication.
e.g. if a=2 and b=3, then…
axb=2x3 - 2 terms
ab=6 - 1 term
Multiplication comes first, then division
They can be done in either order, or even together, as long as you go left to right.
Left is correct; implicit multiplication takes precedence over explicit multiplication or division.
What’s the difference between implicit multiplication and explicit multiplication?
Implicit multiplication is xy or x(y), explicit multiplication is x*y.
Basically just whether or not there’s an actual multiplication symbol.
Right idea, but wrong terminology.
There’s no such thing as implicit multiplication
xy is a Term - Terms are separated by operators (none in this case) and joined by grouping symbols.
x(y) is a Bracketed Term, and is therefore subject to The Distributive Law, which is the first step in solving Brackets.
And yes, a multiplication symbol is an operator - which therefore separates Terms (which is why ab and axb aren’t the same thing - it’s 1 term vs. 2 terms), and the “M” in the mnemonics refers literally to multiplication signs, and nothing else.
What the fuck is the difference in implicit vs explicit? It’s the same operation, why the fuck does it matter if there is a symbol?
Multiplication comes first, then division.
Division is a form of Multiplication, just as subtraction is a form of addition. You multiply and divide in the same step, left to right
No, multiplication and division are resolved from left to right in the same step. But implicit multiplication (
xy, as opposed tox*y) happens first.“implicit multiplication” isn’t even a real thing in Maths, and isn’t even multiplication to begin with - people use that umbrella term to either mean The Distributive Law - which is the first step is solving Brackets - or Terms, which are products, which is the result of a multiplication.
e.g. if a=2 and b=3, then…
axb=2x3 - 2 terms
ab=6 - 1 term
They can be done in either order, or even together, as long as you go left to right.