48÷2(9+3) = ????
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Wrong! You only distribute across the grouping symbols if the terms within are unlike. Get thee to a community college forthwith.
Exactly. Any number in front of a parenthesis takes priority over any other multiplication or division. It is part of the parenthetical equation...it is a FACTOR multiplied by PARENTHESES. not the same as multiplying 2 numbers
the parentheses and anything multiplied by it take priority. For those who can do it, replace the (9+3) by x and tell me the answer you get....I'll tell ya:48/2x. Simplify your fraction (cancel out a 2 in the numerator and denominator) and you get 24/x.....get it? Now put the "9+3" back in for x and you get 48/24....which equals 2....
It's been answered for you already, but I'll quote it again for those who don't get it. any number next to parentheses is a factor to be multiplied by everything inside of the parentheses:
2(9+3) = (18+6)
2(9+x) = (18+2x)
2(x+y) = (2x+2y)
You can not separate a factor multiplied by a parentheses.
it all depends where the parentheses are located. in this case it is located beneath the 48, next to a 2. you can divide 48 by 2 first, but the (9+3) is still in the denominator...24/(9+3)
The answer to this is 4. 24/[3*(4/2)]= 24/[3*(2)]= 24/6 = 4. or 24/[(3*4)/2)] = 24/(12/2)= 24/6 = 4. There is no rank order in this equation because multiplication and division carry the same weight....but a parenthesis and any factor multiplied by it always takes priority over multiplication & division of 2 numbers...
not true
False. The 2 is multiplied by the parentheses so THAT equation 2(9+3) takes priority over everything else happening in the equation...
You cant multiply before dividing if division comes first.
Thats because you cant subtract before multiplying
Exactly. Any number in front of a parenthesis takes priority over any other multiplication or division. It is part of the parenthetical equation...it is a FACTOR multiplied by PARENTHESES. not the same as multiplying 2 numbers
the parentheses and anything multiplied by it take priority. For those who can do it, replace the (9+3) by x and tell me the answer you get....I'll tell ya:48/2x. Simplify your fraction (cancel out a 2 in the numerator and denominator) and you get 24/x.....get it? Now put the "9+3" back in for x and you get 48/24....which equals 2....
It's been answered for you already, but I'll quote it again for those who don't get it. any number next to parentheses is a factor to be multiplied by everything inside of the parentheses:
2(9+3) = (18+6)
2(9+x) = (18+2x)
2(x+y) = (2x+2y)
You can not separate a factor multiplied by a parentheses.
it all depends where the parentheses are located. in this case it is located beneath the 48, next to a 2. you can divide 48 by 2 first, but the (9+3) is still in the denominator...24/(9+3)
The answer to this is 4. 24/[3*(4/2)]= 24/[3*(2)]= 24/6 = 4. or 24/[(3*4)/2)] = 24/(12/2)= 24/6 = 4. There is no rank order in this equation because multiplication and division carry the same weight....but a parenthesis and any factor multiplied by it always takes priority over multiplication & division of 2 numbers...
not true
False. The 2 is multiplied by the parentheses so THAT equation 2(9+3) takes priority over everything else happening in the equation...
Do you know where this started? Is this a recent meme or revived? This is a very hot topic today on the net.
Exactly. Any number in front of a parenthesis takes priority over any other multiplication or division. It is part of the parenthetical equation...it is a FACTOR multiplied by PARENTHESES. not the same as multiplying 2 numbers
the parentheses and anything multiplied by it take priority. For those who can do it, replace the (9+3) by x and tell me the answer you get....I'll tell ya:48/2x. Simplify your fraction (cancel out a 2 in the numerator and denominator) and you get 24/x.....get it? Now put the "9+3" back in for x and you get 48/24....which equals 2....
if x = 9+3
48÷2*x
24*x
24(9+3)
288
you are confusing ÷ with / and therefore assuming that 48÷2(9+3)=48÷[2(9+3)]
the OP never used / so there should be no confusion.
That has dick to do with the fact that the PARENTHESES and the number in front of it was SIMPLIFIED before the equation was evaluated.
2*x is the same as 2x. You can not separate the 2 factors. What is 48/2x?
P.S. When I learned math, the division sign and the slash meant the same thing. Nothing to be confused about
dead
mannn i have no idea. its wild to see how close it is all over the web though.
you proved my point
1/2(5) or 1/2(2+3)
is no different from
48/2(12) or 48/2(9+3)
4-1/2(5-3)=3
But according to you
its 4-1/(10-6)=4-1/4
or
4-48/2(12)=2
Order of Operations
When expressions have more than one operation, we have to follow rules for the order of operations:
1. First do all operations that lie inside parentheses.
2. Next, do any work with exponents or radicals.
3. Working from left to right, do all multiplication and division.
4. Finally, working from left to right, do all addition and subtraction.
http://www.math.com/school/subject2/lessons/S2U1L2GL.html
48/2(9+3)
1. 9+3=12 48/2*12 read rule # 3 left to right
2. 48/2= 24
3. 24 *12 = 288
When expressions have more than one operation, we have to follow rules for the order of operations:
1. First do all operations that lie inside parentheses.
2. Next, do any work with exponents or radicals.
3. Working from left to right, do all multiplication and division.
4. Finally, working from left to right, do all addition and subtraction.
http://www.math.com/school/subject2/lessons/S2U1L2GL.html
48/2(9+3)
1. 9+3=12 48/2*12 read rule # 3 left to right
2. 48/2= 24
3. 24 *12 = 288
if you say so.Wrong! You only distribute across the grouping symbols if the terms within are unlike. Get thee to a community college forthwith.
*your statement does not even make any sense*multiplying a factor against parentheses takes priority over multiplying and dividing numbers. BY EITHER SYSTEM. that is where you are making your mistake....
Now the dummies are getting their pride and emotions into no matter how many times you reveal the truth they'll scream 288
I scream 288 cause I got proof
if you say so.
multiplying a factor against parentheses takes priority over multiplying and dividing numbers. BY EITHER SYSTEM. that is where you are making your mistake....
Says who.
Nope. The Order of Operations doesnt even come in till you solve whats in the Parentheses and get rid of the number directly in front of it by multiplying. Then you start the Order of Operations. Simplifying comes first.
2*x is the same as 2x. You can not separate the 2 factors. What is 48/2x?
P.S. When I learned math, the division sign and the slash meant the same thing. Nothing to be confused about
writing it as 2*x instead of 2x is not separating anything, it simply shows 2 times x.
so 48÷2*x, or 48÷2x if you prefer, is 48 divided by 2 multiplied by x.
you have one division and one multiplication.
the order of operations states that you do multiplication and division from left to right. If you first multiply 2 times x and then divide that into 48, you are doing it from right to left .
therefore you must divide 48 by 2 FIRST, and then multiply that quotient by x
Show me anywhere from a math site that says this with a division sign in front of the multiplication. All it says is in parentheses only. Then from left to right from left to right from left to right do multiplication and division. Not do what's in parentheses then do the number directly in front of the parentheses. That's the key problem. If the 48 and division sign wasn't there you'd be right but since it is you go from left to right from left to right from left to right division or multiplication in the order that it's in from left to right.
That has dick to do with the fact that the PARENTHESES and the number in front of it was SIMPLIFIED before the equation was evaluated.
The example you keep posting just reiterates what he is saying
Bye
but as the equation is written 48 divided by 2(9+3). now 10/2(6+4) is not the same as 10÷2(6+4) which is not = (10/2)(6+4). Again the way the equation is written you will have 48÷2(12). 48÷2(12) is not (48/2)(12). 48÷2(12) is not 48/2 * 12.
take
x=9+3
y=48/2x
y=48/2(9+3)
the equation isnt 48/2 * x it is 48/2x. like it was stated earlier.
I´m noticing as you check polls on more technical boards, the percentage sways more highly in favor of 288.
I´m actually going to add this question to a programming test when interviewing programmers.
And this question is excellent troll material.
People on boards all over the web are really going at it over this topic. The way it is written is causing ambiguity for some people where there really shouldn´t be.
It reiterates what Im saying that you solve the Parentheses first, then multiply by the number in front of it, then solve the equation. If you see something different you're seeing the world through cum colored glasses homes.
why would you get rid of the number in front of the () when it needs to be divided first according to the rules. The number in front of the () is actually 48/2.
If the problem says forty-eighty divided by two times the sum of 9 plus 3 why would you get rid of the 2 by multiplying when you just read that the problem ask for forty-eighty divided by twotimesthe sum of 9 plus 3
You are contradicting the problem
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