why is 2 part of the bracket? It reads 48/2*(9+3) or x / y * z. If it read x / (y*z) you'd be right but thats not the case.
Which is why you make liberal use of brackets if you're going to put everything on one line like that, otherwise you end up with ambiguity as seen here.4li3n said:He doesn't what he meant is that a fraction symbol can be seen as including everything after it below the fraction if you use it in a straight line of text instead of the classical way of stuff being clearly under and above.Sikachu said:In what way do you imagine fractions and division to be different?Glademaster said:So since there is no ambiguity here as he has not used the / which can be used for either a fraction line or division
you're wrong. you release brackets first, so it would be 48/(18+6)TiefBlau said:48 ÷ 2 * (9+3)
48 ÷ 2 * 12
24 * 12
288
Do not, do not, do not multiply the 2 and the 12. Multiplication/Division are of equal priority and go left to right.
You wouldn't say
48 - 2 + 12
48 - 14
34
Would you?
This. The original equation was just written in an annoying way. Rewrite it and it becomes clear.4li3n said:Except unlike the last time the symbol used kinda makes it clear that the 48 is divided by 2 and then you get the brackets...
And one last time: DIVISION AND MULTIPLICATION HAVE THE SAME PRIORITY IN MATH (as do addition and subtraction)... the equation should be read like this:
48*0.5*(9+3)
Now everyone tell me what that equals.
Unless you interpret x(z+y) as one element like some guy was that one time because the math level/type he was at used that symbol or something.
wrong. brackets > division. check the wiki link.TiefBlau said:There is no ambiguity.
Division and multiplication are interchangeable operators and in the notation that we all use, it goes left to right. There's no argument about this. There just isn't any. It's like arguing over whether or not "you're" and "your" are different words. They just aren't. That's just the language we use, and no amount of semantic bullshit is going to change that.
So yeah, answer's 288.
wrong. brackets are STILL more important than division, especially when it comes to multiplying into brackets. check the wiki link.Glademaster said:No the problem is when it is written as shown here there is no ambiguity like with the other equation. What you really have after brackets have done which you have stated is 48÷2*12=288. In this case you solve the equation from left to right as division comes before multiplication so 48/2 = 24. Then 24*12= 288.
Patronising, nice.Nimcha said:Right, that's why it's outside of them. :OThe Unworthy Gentleman said:The 2 is a part of the brackets
Nice try, though.
But mathematically there's nothing stopping you from doing it the other way around... and at times that might come up, and it's better to know the real way you do it instead of something you're taught out of convenience in 2nd grade.Daniel Charlton said:Division and multiplication are treated as equals so its just the closest one to the left is done first, the same goes with adding and subtracting
Oh dear. I don't think "release brackets" means what you think it means.theklng said:you're wrong. you release brackets first, so it would be 48/(18+6)
You still don't get it...theklng said:your other example is faulty logic, 48 - 2 + 12 = 48 + 10 = 58 (incidentally, (48 - 2) + 12 = 46 + 12 = 58).
Actually dude as plenty of high schools do use 2(x+y) to mean 2*(x+y), and in the end the symbols themselves are just an agreed upon writing system neither interpretation is so much wrong then SH or an S with a ceddila being used for the same sound.theklng said:There are two sets of (9+3), not a half set of 48. Clearly this isn't going to help, so let me explain it another way. If the question wasn't 48 ÷ 2(9+3) and was instead 48 ÷ (9+3)^2 then we wouldn't have 16 because we have a squared set of brackets, not a squared overall answer. Similarly, we have two sets of (9+3) shown by having a 2 immediately outside of the brackets.
you're talking to a programmer here, i've been doing math for longer than you've lived. i do these equations pretty much every day, why else would i link the goddamn system that makes everything uniform?TiefBlau said:Oh dear. I don't think "release brackets" means what you think it means.theklng said:you're wrong. you release brackets first, so it would be 48/(18+6)
You operate on the brackets, meaning, whatever's inside the brackets is calculated first.
Hence, you first calculate (9+3) to be 12. Then it's multiplication/division, so you go left to right.
You don't distribute the 2. That's not even what the "brackets" operation is. Distribution is multiplication, which is interchangeable with division, so even if you wanted to do it that way, it'd be like this:
48 / 2 * (9+3)
24 * (9+3)
216 + 72
288
You still don't get it...theklng said:your other example is faulty logic, 48 - 2 + 12 = 48 + 10 = 58 (incidentally, (48 - 2) + 12 = 46 + 12 = 58).