Current Events > Question about math equations.

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IfGodCouldDie
09/08/17 11:38:36 AM
#1:


Not going to post the equation because this is CE, but is 2×6 the same exact thing as 2(6) or would one be given priority in B(P)EDMAS
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Anteaterking
09/08/17 11:39:48 AM
#2:


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Polycosm
09/08/17 11:51:16 AM
#3:


2(6) is a different way of writing 2×6. The priority given to brackets and parentheses does not extend to neighboring terms.
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IfGodCouldDie
09/08/17 11:56:15 AM
#4:


Polycosm posted...
2(6) is a different way of writing 2×6. The priority given to brackets and parentheses does not extend to neighboring terms.

That's what I thought. Thank you.
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Anteaterking
09/08/17 11:57:15 AM
#5:


IfGodCouldDie posted...
Polycosm posted...
2(6) is a different way of writing 2×6. The priority given to brackets and parentheses does not extend to neighboring terms.

That's what I thought. Thank you.


So were you just going to wait for someone to give you the answer that YOU wanted?
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IfGodCouldDie
09/08/17 11:57:27 AM
#6:


Anteaterking posted...
Some times people take multiplication by concatenation as being higher priority.

Thing is though, in math the rules are pretty rigid. If you are doing something out of order because of preference, you are doing it wrong.
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IfGodCouldDie
09/08/17 11:58:18 AM
#7:


Anteaterking posted...
IfGodCouldDie posted...
Polycosm posted...
2(6) is a different way of writing 2×6. The priority given to brackets and parentheses does not extend to neighboring terms.

That's what I thought. Thank you.


So were you just going to wait for someone to give you the answer that YOU wanted?

I was waiting for someone to give me an answer based on the rules of mathematics not peoples preferences.
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Anteaterking
09/08/17 12:02:48 PM
#8:


IfGodCouldDie posted...
Anteaterking posted...
Some times people take multiplication by concatenation as being higher priority.

Thing is though, in math the rules are pretty rigid. If you are doing something out of order because of preference, you are doing it wrong.


That's not true at all.

Mathematicians don't care about order of operations. Order of operations is just a standard for communication ease. Math still works under any other standard (as long as parentheses has highest priority).

Is fg the function g followed by f or f followed by g? Depends on the conventions of your subfield and even up to what country your instructor was born in. Do the natural numbers include zero or not?

All notation is based on preferences in Math and as long as you communicate clearly, the math still works.
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IfGodCouldDie
09/08/17 12:05:01 PM
#9:


6÷2(3)

And

6÷2×3

Should give you the same answer, but if you give 2(3) priority it gives you a different answer.
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Anteaterking
09/08/17 12:07:38 PM
#10:


IfGodCouldDie posted...

Should give you the same answer

You're assuming your conclusion.

Here's a question for you, are

6 ÷ 2 * 3

and

6 / 2 * 3

the same?
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IfGodCouldDie
09/08/17 12:11:20 PM
#11:


Anteaterking posted...
IfGodCouldDie posted...

Should give you the same answer

You're assuming your conclusion.

Here's a question for you, are

6 ÷ 2 * 3

and

6 / 2 * 3

the same?

That depends on whether or not that forward slash represents a fraction or not.
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Anteaterking
09/08/17 12:11:54 PM
#12:


IfGodCouldDie posted...
Anteaterking posted...
IfGodCouldDie posted...

Should give you the same answer

You're assuming your conclusion.

Here's a question for you, are

6 ÷ 2 * 3

and

6 / 2 * 3

the same?

That depends on whether or not that forward slash represents a fraction or not.


It's representing division using the solidus.
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Alkaloid
09/08/17 12:11:59 PM
#13:


Brackets take priority if there are operators within them. With 2 (3), the (3) is just a quantity, so straight multiplication is assumed.
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IfGodCouldDie
09/08/17 12:12:52 PM
#14:


Anteaterking posted...
IfGodCouldDie posted...
Anteaterking posted...
IfGodCouldDie posted...

Should give you the same answer

You're assuming your conclusion.

Here's a question for you, are

6 ÷ 2 * 3

and

6 / 2 * 3

the same?

That depends on whether or not that forward slash represents a fraction or not.


It's representing division using the solidus.

Then yes.
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Anteaterking
09/08/17 12:15:27 PM
#15:


IfGodCouldDie posted...
Anteaterking posted...
IfGodCouldDie posted...
Anteaterking posted...
IfGodCouldDie posted...

Should give you the same answer

You're assuming your conclusion.

Here's a question for you, are

6 ÷ 2 * 3

and

6 / 2 * 3

the same?

That depends on whether or not that forward slash represents a fraction or not.


It's representing division using the solidus.

Then yes.


Historically, the obelus (÷) has been used to indicate that everything to the left is the numerator and everything to the right is the numerator while solidus (/) is used as a binary operation taking the symbols immediately to either side.

So 6 ÷ 2 * 3=1 and 6/2 * 3 =9.

But you weren't aware of that convention. And likely if you communicated with one of your peers, they would not be aware of that convention. So you could successfully communicate the mathematical expression you were intending.
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IfGodCouldDie
09/08/17 12:23:20 PM
#16:


So you're saying historically "6÷whatever" is basically the same thing "6÷(rest of the equation)?"
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Polycosm
09/08/17 12:29:32 PM
#17:


The obelus and solidus are pretty much interchangeable in the modern American education system. The only difference is that the solidus is sometimes ambiguous when used in an in-line expression (e.g. when TC asked whether or not it was being used to represent a fraction, earlier in this topic).
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Anteaterking
09/08/17 6:21:09 PM
#18:


IfGodCouldDie posted...
So you're saying historically "6÷whatever" is basically the same thing "6÷(rest of the equation)?"


Yes, but equally importantly, whatever ÷ 6 is treated as (beginning of equation) ÷ 6.

Polycosm posted...
The obelus and solidus are pretty much interchangeable in the modern American education system.


There's a reason that around the time you learn order of operations you see the ÷ start to disappear.
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