48/2(12) is different to 48/2*12intheweeds said:well if it were a statement in java, the brackets resolve first, leaving you with:
48/2(12)
now you have division and multiplication left to resolve. Since they are equal in priority, they resolve left to right. So:
24*12 = 288
I would assume programming languages use the same math as math, but i haven't been in high school for a very long time, i wouldn't remember exactly.
Easy, 1337 and 42 is the answer to everything.dday4you said:explain?The Stonker said:
My issue is not with the division symbol at all. My issue is that people are dismissing coefficients altogether. The 2 is a coefficient of (9+3) and not as something to divide the 48 by.Glademaster said:Right so it can be read as 48/2*(9+3) which is 48/2*12 then with order of operations taking / as standard division symbol and not a fraction line it is 288. You are taking it as though it would be a fraction line so we have 48 over 2*12 which does give 2. So yes it is ambiguous. You can chop and change it whatever way you like but standard order does not favour you but algebra shows you as right. What we need is more brackets and stop this shit everytime someone rehashes this flamebaiting thread.
This is why the answer must be 2. If the coefficient is disregarded and a function is added in like dividing the 48 by 2 then the answer will be changed drastically.2x
It's plain to see that the coefficient of x is 2, correct? And that 2x can be rewritten as 2(x)? Because 2*x is 2x. So:
20 ÷ 2x can be rewritten as 20 ÷ 2(x)
So, with the same principle you applied to before you could say that
20 ÷ 2x = (20 ÷ 2)(x)
If x = 4 then
20 ÷ 2(4) = (20 ÷ 2)(4)
2.5 =/= 40
So you can't separate the coefficient from it's partner because they are very much glued together.
No he is absolutly right. Division by 2 is equal to multiplication by 0.5 . And x *y*z = x*z*y.ACman said:You're adding a operation that wasn't originally there and changing the answer.JoshGod said:There is something you are missunderstanding which is that the 2 and the (9+3) are not glued together, they do not have brackets around them, the problem is due to peoples misinterpretation with the divide, however if we rewrite the equation to change it all into multiplication it becomes clearer.The Unworthy Gentleman said:48 ÷ (9+3)2
It makes no difference to the way the equation works in the second form, but makes drastic changes to the way the equation works in the first one.
48÷2(9+3)
=48÷2*(9+3)
as ÷2 = *0.5
48÷2*(9+3)
=48*0.5*(9+3)
=48*0.5*12
=48*6
=288
If there is no bracket around the 2(9+3) then how is that any different from writing 2*(9+3), moreover did you read my method, because when you rewrite ÷2 as *0.5 it doesn't matter how you do it as it becomes 288.The Unworthy Gentleman said:No, they are glued together and that is very much fact. The 2 is the coefficient of the brackets and must be treated as a part of them, there is no getting around that. Your mistake is treating the 2 as if it weren't glued to the brackets and inserting a multiplication symbol into it. There is no problem with the divide at all. Again, lets look at a different equation to prove I'm right (although the last one didn't go well). Also, I will end up seeming really patronising, so I apologise in advance, I just want to jump through every single hoop.JoshGod said:There is something you are missunderstanding which is that the 2 and the (9+3) are not glued together, they do not have brackets around them, the problem is due to peoples misinterpretation with the divide, however if we rewrite the equation to change it all into multiplication it becomes clearer.The Unworthy Gentleman said:48 ÷ (9+3)2
It makes no difference to the way the equation works in the second form, but makes drastic changes to the way the equation works in the first one.
48÷2(9+3)
=48÷2*(9+3)
as ÷2 = *0.5
48÷2*(9+3)
=48*0.5*(9+3)
=48*0.5*12
=48*6
=288
2x
It's plain to see that the coefficient of x is 2, correct? And that 2x can be rewritten as 2(x)? Because 2*x is 2x. So:
20 ÷ 2x can be rewritten as 20 ÷ 2(x)
So, with the same principle you applied to before you could say that
20 ÷ 2x = (20 ÷ 2)(x)
If x = 4 then
20 ÷ 2(4) = (20 ÷ 2)(4)
2.5 =/= 40
So you can't separate the coefficient from it's partner because they are very much glued together.
The Unworthy Gentleman said:My issue is not with the division symbol at all. My issue is that people are dismissing coefficients altogether. The 2 is a coefficient of (9+3) and not as something to divide the 48 by.Glademaster said:Right so it can be read as 48/2*(9+3) which is 48/2*12 then with order of operations taking / as standard division symbol and not a fraction line it is 288. You are taking it as though it would be a fraction line so we have 48 over 2*12 which does give 2. So yes it is ambiguous. You can chop and change it whatever way you like but standard order does not favour you but algebra shows you as right. What we need is more brackets and stop this shit everytime someone rehashes this flamebaiting thread.
This is why the answer must be 2. If the coefficient is disregarded and a function is added in like dividing the 48 by 2 then the answer will be changed drastically.2x
It's plain to see that the coefficient of x is 2, correct? And that 2x can be rewritten as 2(x)? Because 2*x is 2x. So:
20 ÷ 2x can be rewritten as 20 ÷ 2(x)
So, with the same principle you applied to before you could say that
20 ÷ 2x = (20 ÷ 2)(x)
If x = 4 then
20 ÷ 2(4) = (20 ÷ 2)(4)
2.5 =/= 40
So you can't separate the coefficient from it's partner because they are very much glued together.
Blame the schools. Just like with this BODMAS thing giving people wrong ideas, same thing happens when the notation 2x first appears. Many of us were told 2x = 2*x, but weren't told that it's not actually the same thing. So naturally many assumed if x=2, and 2x=4, then 2x= 2*x, instead of 2x=x+xDaMullet said:No, you're wrong in one step, 48/2(12) is not the same as 48/2*12
You change an exponent to multiplication for no reason what so ever. Doesn't matter if that's how you solve it, exponents exist for a reason damnit!
The coefficient is not 2. Its 48/2. Like in 3*2x = 6x and has so the coefficient 6.The Unworthy Gentleman said:My issue is not with the division symbol at all. My issue is that people are dismissing coefficients altogether. The 2 is a coefficient of (9+3) and not as something to divide the 48 by.Glademaster said:Right so it can be read as 48/2*(9+3) which is 48/2*12 then with order of operations taking / as standard division symbol and not a fraction line it is 288. You are taking it as though it would be a fraction line so we have 48 over 2*12 which does give 2. So yes it is ambiguous. You can chop and change it whatever way you like but standard order does not favour you but algebra shows you as right. What we need is more brackets and stop this shit everytime someone rehashes this flamebaiting thread.
This is why the answer must be 2. If the coefficient is disregarded and a function is added in like dividing the 48 by 2 then the answer will be changed drastically.2x
It's plain to see that the coefficient of x is 2, correct? And that 2x can be rewritten as 2(x)? Because 2*x is 2x. So:
20 ÷ 2x can be rewritten as 20 ÷ 2(x)
So, with the same principle you applied to before you could say that
20 ÷ 2x = (20 ÷ 2)(x)
If x = 4 then
20 ÷ 2(4) = (20 ÷ 2)(4)
2.5 =/= 40
So you can't separate the coefficient from it's partner because they are very much glued together.
It's very different. You're adding an operation that wasn't there in the first place.JoshGod said:If there is no bracket around the 2(9+3) then how is that any different from writing 2*(9+3), moreover did you read my method, because when you rewrite ÷2 as *0.5 it doesn't matter how you do it as it becomes 288.The Unworthy Gentleman said:No, they are glued together and that is very much fact. The 2 is the coefficient of the brackets and must be treated as a part of them, there is no getting around that. Your mistake is treating the 2 as if it weren't glued to the brackets and inserting a multiplication symbol into it. There is no problem with the divide at all. Again, lets look at a different equation to prove I'm right (although the last one didn't go well). Also, I will end up seeming really patronising, so I apologise in advance, I just want to jump through every single hoop.JoshGod said:There is something you are missunderstanding which is that the 2 and the (9+3) are not glued together, they do not have brackets around them, the problem is due to peoples misinterpretation with the divide, however if we rewrite the equation to change it all into multiplication it becomes clearer.The Unworthy Gentleman said:48 ÷ (9+3)2
It makes no difference to the way the equation works in the second form, but makes drastic changes to the way the equation works in the first one.
48÷2(9+3)
=48÷2*(9+3)
as ÷2 = *0.5
48÷2*(9+3)
=48*0.5*(9+3)
=48*0.5*12
=48*6
=288
2x
It's plain to see that the coefficient of x is 2, correct? And that 2x can be rewritten as 2(x)? Because 2*x is 2x. So:
20 ÷ 2x can be rewritten as 20 ÷ 2(x)
So, with the same principle you applied to before you could say that
20 ÷ 2x = (20 ÷ 2)(x)
If x = 4 then
20 ÷ 2(4) = (20 ÷ 2)(4)
2.5 =/= 40
So you can't separate the coefficient from it's partner because they are very much glued together.
this is how it would resolve - IF it were in Java. However, in java you would never write 2(12), brackets confuse the reader since the language uses brackets for other reasons. Honest i wouldn't even know if it would resolve like that. never tried. In Java the equation would be:ACman said:48/2(12) is different to 48/2*12intheweeds said:well if it were a statement in java, the brackets resolve first, leaving you with:
48/2(12)
now you have division and multiplication left to resolve. Since they are equal in priority, they resolve left to right. So:
24*12 = 288
I would assume programming languages use the same math as math, but i haven't been in high school for a very long time, i wouldn't remember exactly.
Brackets first! Including coefficients of brackets!
Yeah but here its a division operation so you'd end up with the fraction 3 on 2x.Thomas Rembrandt said:The coefficient is not 2. Its 48/2. Like in and has so the coefficient 6.The Unworthy Gentleman said:My issue is not with the division symbol at all. My issue is that people are dismissing coefficients altogether. The 2 is a coefficient of (9+3) and not as something to divide the 48 by.Glademaster said:Right so it can be read as 48/2*(9+3) which is 48/2*12 then with order of operations taking / as standard division symbol and not a fraction line it is 288. You are taking it as though it would be a fraction line so we have 48 over 2*12 which does give 2. So yes it is ambiguous. You can chop and change it whatever way you like but standard order does not favour you but algebra shows you as right. What we need is more brackets and stop this shit everytime someone rehashes this flamebaiting thread.
This is why the answer must be 2. If the coefficient is disregarded and a function is added in like dividing the 48 by 2 then the answer will be changed drastically.2x
It's plain to see that the coefficient of x is 2, correct? And that 2x can be rewritten as 2(x)? Because 2*x is 2x. So:
20 ÷ 2x can be rewritten as 20 ÷ 2(x)
So, with the same principle you applied to before you could say that
20 ÷ 2x = (20 ÷ 2)(x)
If x = 4 then
20 ÷ 2(4) = (20 ÷ 2)(4)
2.5 =/= 40
So you can't separate the coefficient from it's partner because they are very much glued together.
Where is he adding an operation? The original has 4 (three are seen, but thats just convenient notation) and his formula has 4 as well.ACman said:It's very different. You're adding an operation that wasn't there in the first place.JoshGod said:If there is no bracket around the 2(9+3) then how is that any different from writing 2*(9+3), moreover did you read my method, because when you rewrite ÷2 as *0.5 it doesn't matter how you do it as it becomes 288.The Unworthy Gentleman said:No, they are glued together and that is very much fact. The 2 is the coefficient of the brackets and must be treated as a part of them, there is no getting around that. Your mistake is treating the 2 as if it weren't glued to the brackets and inserting a multiplication symbol into it. There is no problem with the divide at all. Again, lets look at a different equation to prove I'm right (although the last one didn't go well). Also, I will end up seeming really patronising, so I apologise in advance, I just want to jump through every single hoop.JoshGod said:There is something you are missunderstanding which is that the 2 and the (9+3) are not glued together, they do not have brackets around them, the problem is due to peoples misinterpretation with the divide, however if we rewrite the equation to change it all into multiplication it becomes clearer.The Unworthy Gentleman said:48 ÷ (9+3)2
It makes no difference to the way the equation works in the second form, but makes drastic changes to the way the equation works in the first one.
48÷2(9+3)
=48÷2*(9+3)
as ÷2 = *0.5
48÷2*(9+3)
=48*0.5*(9+3)
=48*0.5*12
=48*6
=288
2x
It's plain to see that the coefficient of x is 2, correct? And that 2x can be rewritten as 2(x)? Because 2*x is 2x. So:
20 ÷ 2x can be rewritten as 20 ÷ 2(x)
So, with the same principle you applied to before you could say that
20 ÷ 2x = (20 ÷ 2)(x)
If x = 4 then
20 ÷ 2(4) = (20 ÷ 2)(4)
2.5 =/= 40
So you can't separate the coefficient from it's partner because they are very much glued together.
No. Because multiplication symbol can be omitted if followed by brackets or variable. It doesn't change anything. It's still just multiplication.ACman said:You're adding a operation that wasn't originally there and changing the answer.
I'm not adding anything i'm mearly rewriting the equation as dividing by two is multiplaying by a half, 12*0.5=6 and 12/2=6.ACman said:It's very different. You're adding an operation that wasn't there in the first place.JoshGod said:If there is no bracket around the 2(9+3) then how is that any different from writing 2*(9+3), moreover did you read my method, because when you rewrite ÷2 as *0.5 it doesn't matter how you do it as it becomes 288.The Unworthy Gentleman said:No, they are glued together and that is very much fact. The 2 is the coefficient of the brackets and must be treated as a part of them, there is no getting around that. Your mistake is treating the 2 as if it weren't glued to the brackets and inserting a multiplication symbol into it. There is no problem with the divide at all. Again, lets look at a different equation to prove I'm right (although the last one didn't go well). Also, I will end up seeming really patronising, so I apologise in advance, I just want to jump through every single hoop.JoshGod said:There is something you are missunderstanding which is that the 2 and the (9+3) are not glued together, they do not have brackets around them, the problem is due to peoples misinterpretation with the divide, however if we rewrite the equation to change it all into multiplication it becomes clearer.The Unworthy Gentleman said:48 ÷ (9+3)2
It makes no difference to the way the equation works in the second form, but makes drastic changes to the way the equation works in the first one.
48÷2(9+3)
=48÷2*(9+3)
as ÷2 = *0.5
48÷2*(9+3)
=48*0.5*(9+3)
=48*0.5*12
=48*6
=288
2x
It's plain to see that the coefficient of x is 2, correct? And that 2x can be rewritten as 2(x)? Because 2*x is 2x. So:
20 ÷ 2x can be rewritten as 20 ÷ 2(x)
So, with the same principle you applied to before you could say that
20 ÷ 2x = (20 ÷ 2)(x)
If x = 4 then
20 ÷ 2(4) = (20 ÷ 2)(4)
2.5 =/= 40
So you can't separate the coefficient from it's partner because they are very much glued together.
In java but in java and most other languages insist on operations between each number.intheweeds said:this is how it would resolve - IF it were in Java. However, in java you would never write 2(12), brackets confuse the reader since the language uses brackets for other reasons. Honest i wouldn't even know if it would resolve like that. never tried. In Java the equation would be:ACman said:48/2(12) is different to 48/2*12intheweeds said:well if it were a statement in java, the brackets resolve first, leaving you with:
48/2(12)
now you have division and multiplication left to resolve. Since they are equal in priority, they resolve left to right. So:
24*12 = 288
I would assume programming languages use the same math as math, but i haven't been in high school for a very long time, i wouldn't remember exactly.
Brackets first! Including coefficients of brackets!
48/2 *(9+3)
you'll notice the brackets did resolve first. I never claimed to be a high school math expert. Go start tutoring if you're so smart.
eeeuuuuugggghhhhBaron_Rouge said:They say BODMAS over here in Aus, or that's what I was taught anyway. Going by that, it's 288. Brackets first, (9+3)=12. So it becomes 48/2(12), or 48/2x12 to put it another way. Whether division comes first or you do division/multiplication at the same time, left to right, it works out the same. 48/2=24. 24*12=288.
i feel like this is just an excuse for the math nerds to flame. Next OP should start a thread entitled "What's Wrong With This Grammar?"legendp said:I have never seen a thread this long over a maths equation. this is sorta ridiculous (and intriguing) . why do you need to know ?
Right. 3/2*x = 1.5x and not 3/(2x).ACman said:Yeah but here its a division operation so you'd end up with the fraction 3 on 2x.Thomas Rembrandt said:The coefficient is not 2. Its 48/2. Like in and has so the coefficient 6.The Unworthy Gentleman said:My issue is not with the division symbol at all. My issue is that people are dismissing coefficients altogether. The 2 is a coefficient of (9+3) and not as something to divide the 48 by.Glademaster said:Right so it can be read as 48/2*(9+3) which is 48/2*12 then with order of operations taking / as standard division symbol and not a fraction line it is 288. You are taking it as though it would be a fraction line so we have 48 over 2*12 which does give 2. So yes it is ambiguous. You can chop and change it whatever way you like but standard order does not favour you but algebra shows you as right. What we need is more brackets and stop this shit everytime someone rehashes this flamebaiting thread.
This is why the answer must be 2. If the coefficient is disregarded and a function is added in like dividing the 48 by 2 then the answer will be changed drastically.2x
It's plain to see that the coefficient of x is 2, correct? And that 2x can be rewritten as 2(x)? Because 2*x is 2x. So:
20 ÷ 2x can be rewritten as 20 ÷ 2(x)
So, with the same principle you applied to before you could say that
20 ÷ 2x = (20 ÷ 2)(x)
If x = 4 then
20 ÷ 2(4) = (20 ÷ 2)(4)
2.5 =/= 40
So you can't separate the coefficient from it's partner because they are very much glued together.