## 6/2(1+2)=?

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### 6/2(1+2)=?

Hi

What do you think is correct 9 or 1 ?

6/2(1+2)=1
6/2*(1+2)=9

Meelis

Posts: 873
Joined: Sat Oct 17, 2009 2:16 am

### Re: 6/2(1+2)=?

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)
paco

Posts: 456
Joined: Sun Feb 07, 2010 1:37 am

### Re: 6/2(1+2)=?

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"

Last edited by Meelis on Tue Feb 28, 2012 1:16 am, edited 1 time in total.

Meelis

Posts: 873
Joined: Sat Oct 17, 2009 2:16 am

### Re: 6/2(1+2)=?

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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zeealpal

Posts: 484
Joined: Thu Feb 18, 2010 3:28 am
Location: Victoria, Australia

### Re: 6/2(1+2)=?

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"

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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zeealpal

Posts: 484
Joined: Thu Feb 18, 2010 3:28 am
Location: Victoria, Australia

### Re: 6/2(1+2)=?

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 *.

Meelis

Posts: 873
Joined: Sat Oct 17, 2009 2:16 am

### Re: 6/2(1+2)=?

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

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zeealpal

Posts: 484
Joined: Thu Feb 18, 2010 3:28 am
Location: Victoria, Australia

### Re: 6/2(1+2)=?

Looks like 9 is correct then

Wow Texas Instruments has such a awesome calculators, i want one

Meelis

Posts: 873
Joined: Sat Oct 17, 2009 2:16 am

### Re: 6/2(1+2)=?

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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zeealpal

Posts: 484
Joined: Thu Feb 18, 2010 3:28 am
Location: Victoria, Australia

### Re: 6/2(1+2)=?

This is why you don't use a linear display on your calculator.
Pilchard123

Posts: 406
Joined: Sun Oct 30, 2011 8:05 am

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