## seidi.yamauti 3 years ago It's been on the web since a while 48÷2(9+3)=?

1. terenzreignz

Looking to start a fight? :P

2. sarah43

|dw:1343445281200:dw|

3. seidi.yamauti

Lets start a discussion with embasement! hahaha

4. terenzreignz

I'll agree with @sarah43 on this one. Wait for the haters :P

5. sarah43

loll. haters gonna hate :)

6. HannaT

i think its 1...

7. seidi.yamauti

but that means multiplication has priority over division. Is that algorithmically right?

8. HannaT

|dw:1343445503313:dw| just type it in google....itll solve it

9. HannaT

i think so

10. sarah43

paranthesis first |dw:1343445601763:dw| |dw:1343445645556:dw|

11. HannaT

oh sry error in calculation xD ur right sara

12. seidi.yamauti

but it could be parenthesis first, then division, then multiplication. (3+9)=12 48/2=24 24*12=288

13. terenzreignz

It all boils down to whether you think a÷b(c + d) = a÷(bc + bd) or = (a/b)(c+d) In other words, if you treat this division as a fraction, is (9+3) in the numerator or denominator?

14. sarah43

no u cannot do 48/2 cuz u have to distribute the 2 first. i made a mistake like this b4 and this is what the teacher told me. the 2 has to be distributed so u have 2*12=24 THEN divide by 48 to get 2

15. seidi.yamauti

but which one is correct according to mathematics? or both answers are?

16. sarah43

u have to use PEMDAS order of operations Paranthesis Exponents Multiplication Division Addition Subtration mulitplication comes first so according to the rules of operations that is what u would do

17. seidi.yamauti

So that's a convention? (PEMDAS)

18. sarah43

its a rule :)

19. terenzreignz

Let's boil it down... Since (9+3) is enclosed in parentheses, they are but one term. Therefore, let x = (9+3) Then your expression becomes 48÷2x Since 2x = 2(9+3) = 24, 48÷2x = 48÷24 = 2 There :)

20. seidi.yamauti

seems nice haha

21. seidi.yamauti

My friend told me the right answer is 288. He went trough that discussion, but came up with the idea of testing the problem on machines, since they need to follow a convention (that was his way of thinking). When I asked him, he was like "obviously it is 288!" And indeed, even google says it is 288. . ., because u need to see 48/2 as one number, and (3+9) as another (numerator). Or, in other way, multiplication has the same priority as division, so in the case of this problem, u just solve from left to right. Remembering there's no difference in doing (+) first or (-) first when you have an basic equation, such as a+b-c-d+e (just to say + has no priority over -). What do you think?

22. seidi.yamauti