6/2(1+2)=?

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6/2(1+2)=?

Postby Meelis » Tue Feb 28, 2012 12:57 am

Hi :D

What do you think is correct 9 or 1 ?

6/2(1+2)=1
6/2*(1+2)=9
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Re: 6/2(1+2)=?

Postby paco » Tue Feb 28, 2012 1:02 am

Well usually the absence of an operand it interpreted as multiply by default... so I 'd go for 9?

Either that or there is a function 2(x) :)
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Re: 6/2(1+2)=?

Postby Meelis » Tue Feb 28, 2012 1:14 am

But what's the correct order of calculation?

ofc 1'st is "1+2 = 3"
But is 2'nt in order "6/2" or "2*3"

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Last edited by Meelis on Tue Feb 28, 2012 1:16 am, edited 1 time in total.
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Re: 6/2(1+2)=?

Postby zeealpal » Tue Feb 28, 2012 1:15 am

Haha I saw this on facebook.

Even with 6/2(1+2) it is equal to 9, the multiplication still exists even if it is not written.

So using order of operations:
6 / 2 * (3)
= 3 * (3)
= 9

Some people argued that one can bring the 2 into the brackets like this (which is wrong):
6 / 2 (1 + 2)
= 6 / (2*1 + 2*2)
= 6 / (2 + 4)
= 6/6
= 1

Its wrong because if you want to multiply into the brackets and the numbers infront are a * b or a / b, then you must use the whole value before multiplying it into the brackets.
6 / 2 (1 + 2)
= 3 (1 + 2)
= (3 * 1 + 3 * 2)
= 3 + 6
= 9
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Re: 6/2(1+2)=?

Postby zeealpal » Tue Feb 28, 2012 1:17 am

Meelis wrote:But what's the correct order of calculation?

ofc 1'st is "1+2 = 3"
But is 2'nt in order "6/2" or "2*3"

Image


Multiplication and Division occur at the same time, as read left to right.

So 6 / 2 * 3 we do 6 / 2 first, then 3 * 3

The error in the calculators answer is due to the way it was programmed. Unless it was Photoshopped xD
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Re: 6/2(1+2)=?

Postby Meelis » Tue Feb 28, 2012 1:22 am

zeealpal wrote:The error in the calculators answer is due to the way it was programmed. Unless it was Photoshopped xD


I have at home 2 different scientific calculators (also by Sharp) and i get same 9 and 1 depending on if i write the *.
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Re: 6/2(1+2)=?

Postby zeealpal » Tue Feb 28, 2012 1:45 am

Meelis wrote:
zeealpal wrote:The error in the calculators answer is due to the way it was programmed. Unless it was Photoshopped xD


I have at home 2 different scientific calculators (also by Sharp) and i get same 9 and 1 depending on if i write the *.


Yeah the way it was programmed can't tell that they are the same thing. When I used a Texas Instruments nSpire CAS version, both give the answer nine. So too does WolframAlpha and Google

http://www.wolframalpha.com/input/?i=6%2F2%281%2B2%29

http://www.google.com.au/search?source=ig&hl=en&rlz=1G1GGLQ_ENAU354&q=6%2F2%281%2B2%29&oq=6%2F2%281%2B2%29&aq=f&aqi=g2g-m2&aql=&gs_sm=3&gs_upl=113l630l0l1139l3l3l0l0l0l0l344l466l2.3-1l3l0
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Re: 6/2(1+2)=?

Postby Meelis » Tue Feb 28, 2012 1:59 am

Looks like 9 is correct then :)

Wow Texas Instruments has such a awesome calculators, i want one :D
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Re: 6/2(1+2)=?

Postby zeealpal » Tue Feb 28, 2012 2:37 am

They are pretty cool :) At least mine is a black one, and the CAS version is soo nice (rather than non CAS) as it can solve almost any algebra calculations, factorise etc.. :) We got to use it for our second maths exam (Maths Methods in Victoria, Australia)
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Re: 6/2(1+2)=?

Postby Pilchard123 » Tue Feb 28, 2012 3:19 am

This is why you don't use a linear display on your calculator.
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