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Our public schools suck! Adults that cant do math...

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I understand why it's doing it, but it's the same principle as before.

I don't think 2x is a single term unless I define it as such.

2x is an ambiguity term. That is because you don't know what the X is for. So you have to treat 2x as a single term. 2(x) is two separate terms. Although math wise they would USUALLY mean the same thing and for certain actions, like factoring, some actions can be done to both in the same way, not all can be, like division.

That is why 2x = 2(x) but 1/2x does not equal 1/2(x) at all. The math for one is not the same as the math for the other.
 
learn something new every day - I never knew you could do decimals in binary! D:

Can you do it in hexadecimal?


And should we call it a "binary point" and a "hex point?" 😀

that, or we really should revert to calling Base10 "denary" to avoid confusion and eschew any confusion with the word decimal when speaking of, uh.. decimal points in other numeral systems. 😉


All bases work under the same rules. Each digit position is just the base number raised to a specific power. The one to the left of the point is the digit to the 0 power (which is always 1), the one to the left of that is the digit raised to the 1st power, then the second, etc. The numbers to the right have the power decending.

For base 10, this is intuitive for us. 512.432 is
5 * 10^2 =500
1 * 10^1 =10
2 * 10^0 =2
4 * 10^-1=4/10
3 * 10^-2=3/100
2 * 10^-3=2/1000

___________

For binary: 110.1001
1 * 2^2 = 4
1 * 2^1 = 2
0 * 2^0 = 0
1 * 2^-1=1/2
0 * 2^-2=0
0 * 2^-3=0
1 * 2^-4=1/16

or 6.5625

_______________-

for hex (assuming A =10, B=11, ...): B3E.65

11* 16^2 = 11 * 256 = 2816
3 * 16^1 = 3 * 16 = 48
14* 16^0 = 14 * 1 = 14
6 * 16^-1 = 6 * 1/16 = 0.375
5 * 16^-2 = 5 * 1/256= 0.01953125

for a total of 2878.39453125
 
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That is why 2x = 2(x) but 1/2x does not equal 1/2(x) at all. The math for one is not the same as the math for the other.

Wrong. 2x always implies multiplication, not a single term. It's incorrect to consider it a single term when you're dividing.

2x = 2*x = 2(x) = (2)x

1 = 1/(2x) ≠ 1/2x = 1/2(x) = x/2
2x
 
:colbert:

But your point is still taken! 😛

Woops! A=10, etc. 😛



*however* my convention, while not the conventional convention, still works as I saw fit to define it prior to using it! I view the alphabet as a loop, and Z was my 10 in that first convention. I've edited my post to conform to the widely understood glyphs for the 10-15 values though 😉 If I'd not defined what glyphs had each value, that sure would have been silly!
 
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Wrong. 2x always implies multiplication, not a single term. It's incorrect to consider it a single term when you're dividing.

2x = 2*x = 2(x) = (2)x

1 = 1/(2x) ≠ 1/2x = 1/2(x) = x/2
2x

WRONG. It's a term. It's a term you can use formulas upon which include multiplication formula. You really failed algebra didn't you?

Yes using basic multiplication formula...

2x = 2 times x = 2(x)

However, 1/2x ≠ 1/2(x)

In algebra the 2x in that is a single TERM. You can factor out a 2 from that term, but it's still considered a single term. 1/2(x) the 1/2 is considered the coefficient of x. so in reality

1/2(x) = .5x

You really REALLY need to go back to basic algebra if you can't understand something that simple.
 
WRONG. It's a term. It's a term you can use formulas upon which include multiplication formula. You really failed algebra didn't you?

Yes using basic multiplication formula...

2x = 2 times x = 2(x)

However, 1/2x ≠ 1/2(x)

In algebra the 2x in that is a single TERM. You can factor out a 2 from that term, but it's still considered a single term. 1/2(x) the 1/2 is considered the coefficient of x. so in reality

1/2(x) = .5x

You really REALLY need to go back to basic algebra if you can't understand something that simple.
Y'all said the sam ting.
 
Y'all said the sam ting.

Not really, because 2x is a term. Just as if you had the equation 4x^2 + 2x - 6 = 0...

That equation has 2 unknown terms to solve for. Using proper nomenclature makes a difference as to WHY math formulas are done in the ways they are.

I was trying to explain why on wolfram alpha 6/2(1+2) would show up as 9 as the answer because 6 is divided by 2 first before it is multiplied against the product of 1 + 2. Those are all separate terms. That was in comparison to typing in a/2x is shown in wolfram alpha as a/(2x) for example. That 2x is a treated as a single term for a reason.
 
I will say that coming up with either the answer 9 (correct) or 1 (incorrect) to the OP is not a failure of the school system at all. Both are showing a person able to apply critical thinking skills and problem solving abilities. Just because you get an answer wrong every so often doesn't make you or the school system a failure. No one got everything 100% right all the way through school.
 
I was trying to explain why on wolfram alpha 6/2(1+2) would show up as 9 as the answer because 6 is divided by 2 first before it is multiplied against the product of 1 + 2. Those are all separate terms. That was in comparison to typing in a/2x is shown in wolfram alpha as a/(2x) for example. That 2x is a treated as a single term for a reason.
And yet, when I type 1/2x into Google, I get a graph of 0.5*x. Wolfram Alpha uses peoples' INCORRECT intuition to give them the answer that it THINKS they are looking for. That's how Google bombing works: if enough people appear to be searching for a specific type of data with a specific query, the connection is made, even if it is invalid. This is a semantic issue, not a mathematical issue. PEDMAS alone can guide us through the mathematical rules for these one-line ASCII equations.

Now with more Equation Editor:
eqeditor.png
 
I will say that coming up with either the answer 9 (correct) or 1 (incorrect) to the OP is not a failure of the school system at all. Both are showing a person able to apply critical thinking skills and problem solving abilities. Just because you get an answer wrong every so often doesn't make you or the school system a failure. No one got everything 100% right all the way through school.


QFT
 
Not really, because 2x is a term. Just as if you had the equation 4x^2 + 2x - 6 = 0...

That equation has 2 unknown terms to solve for. Using proper nomenclature makes a difference as to WHY math formulas are done in the ways they are.

I was trying to explain why on wolfram alpha 6/2(1+2) would show up as 9 as the answer because 6 is divided by 2 first before it is multiplied against the product of 1 + 2. Those are all separate terms. That was in comparison to typing in a/2x is shown in wolfram alpha as a/(2x) for example. That 2x is a treated as a single term for a reason.


You are incorrect, and you've actually cited an example proving you are.

You mention "4x^2" if "4x" is a "term" (or perhaps I should say "what you are defining a term to be") then 4x^2 would be the same as (4x)^2 or 4^2 * x^2, obviously, this is just silly, and you are making things up.

Your made up methodology is inconsistent.
 
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