That doesn't prove anything as the ambiguity is caused by notation conventions. Academically, juxtaposition implies grouping and multiplication (1) Literally/programming-wise, juxtaposition implies multiplication only (16) Whichever convention you choose will put you on the path for the respective answer. You chose the academic interpretation so any "proof" of yours will of course give 1 as it's predetermined. It's called a circular argument, which can't prove anything obviously.

Parentheses group and give priority to operations INSIDE the symbol not outside the symbol... DUH Addition wouldn't take priority if it weren't inside the parentheses.... (2+2)=4 parenthetical priority complete .... 8÷2×4= 4×4= 16

Are you sure you were taught wrong or just misunderstood what you were being taught...

@@RS-fg5mf its the education method my school uses

@@user-mq5nb7jt6v 1 isn't wrong though. It's from the academic interpretation of multiplication by juxtaposition, which implies grouping. 8/2(2+2) implies 8/(2*(2+2)) Using that convention, which is 1. It's perfectly valid. Scientific calculators often use it and give 1 for this expression.

Yes, you're another 1d10t who thinks you know math. The correct answer is 16

STOP projecting your incompetence.

No such thing as new math just mathematical incompetence like you are demonstrating... Parentheses group and give priority to operations INSIDE the symbol not outside the symbol. 2(4) is not a parenthetical priority and is mathematically the same as 2×4. The correct answer is 16 not 1

@@RS-fg5mfbuddy do you not know about multiplication by juxtaposition?

@@whatthis7951 I know more than you do about multiplication by juxstaposition.... People confuse and conflate two different types of Implicit multiplication .... One without a delimiter and one with a delimiter.. Type 1... Implicit Multiplication between a coefficient and variable... A special relationship given to coefficients and variables that are directly prefixed i.e. juxstaposed WITHOUT a delimiter and forms a composite quantity by Algebraic Convention... Example 2y or BC This type of Implicit Multiplication is given priority over Division and most other operations but not all other operations... This can be seen in most Algebra text books or Physics book. Physics uses this type of Implicit Multiplication quite heavily.. Type 2... Implicit Multiplication between a TERM and a Parenthetical value that have been juxstaposed without an explicit operator but WITH a delimiter...The parentheses serve to delimit the two sub-expressions.. Parenthetical implicit multiplication. The act of placing a constant, variable or TERM next to parentheses without a physical operator. The multiplication SYMBOL is implicit, implied though not plainly expressed, meaning you multiply the constant, variable or TERM with the value of the parentheses or across each TERM within the parenthetical sub-expression. Parentheses group and give priority to operations WITHIN the symbol of INCLUSION not outside the symbol. Terms are separated by addition and subtraction not multiplication or division. The axiom for the Distributive Property is a(b+c)= ab+ac but what most people fail to understand is that each of those variables represents a constant value OR a set of operations that represent a constant value... A single TERM expression like 6÷2(1+2) has two sub-expressions. The single TERM sub-expression 6÷2 juxstaposed to the two TERM parenthetical sub-expression 1+2. The lack of an explicit operator implies multiplication between the TERM or TERM value outside the parentheses and the parenthetical value or across each TERM within the parenthetical sub-expression... The parentheses DELIMIT the TERM 6÷2 from the two TERMS 1+2 maintaining comparison and contrast between the two elements... Implicit multiplication is always by juxstaposition but not all juxstaposition is Implicit multiplication. Example 2½ = 2.5 not 2 times ½... There is “implicit multiplication” WITH delimiters and there is “implicit multiplication WITHOUT delimiters. Two different types of Implicit multiplication and mathematically different. 6÷2y the 2y has no delimiter.... 6÷2y=3÷y by Algebraic Convention. 6÷2(a+b) has a delimiter... 6÷2(a+b)= 3a+3b by the Distributive Property... 6y÷2y = 6y÷(2y) = 6y÷(2*y) 6y÷2(y)= (6y÷2)(y)= 6y÷2*y 6y÷2y(y)= (6y÷(2y))(y)= 6y÷(2y)*y= 6y÷(2*y)*y ÷2y the denominator is 2y ÷2(y) the denominator is 2

@@whatthis7951 He doesn't know much about it. He says there are two distinct types but provides no evidence they should be treated differently when there is plenty of evidence of them being treated the same. ab and a(b) are both forms of multiplication by juxtaposition. Both can mean (a×b) instead of a×b. Many scientific calculators use the interpretation where juxtaposition implies grouping and give 1 here. The American Mathematical Society stated it was ambiguous notation so they are saying 1 is a correct answer. The American Physical Society agrees with 1 also which you can see in its style guide. Modern international standards like ISO-80000-1 mentions about writing division on one line with multiplication or division directly after and that brackets are required to remove ambiguity. That guy likes to bring up distribution but that proves nothing since distribution has nothing to do with language (notation) conventions. You interpret the notation first. Only then can you use distribution or the order of operations etc. You can't put the cart before the horse. That guy has a poor understanding of a lot of concepts so far.

8÷2a is not the same as 8÷2(a) a=2+2 then 8÷2a=1 a=2+2 then 8÷2(a)= 16 8÷2(2+2) does not Algebraically equate to 8÷2a

I just saw the caption!

WRONG... 8÷a(2+2)= 32÷a